how to find moles, when given molar mass

The correct options that apply during a chemical change are:

A) One atom or more changes into atoms of another element.

B) New substances with different properties are formed.

C) Solids, liquids, or gases may form. Option A, B and C

During a chemical change, the arrangement of atoms in molecules is altered, resulting in the formation of new substances with different chemical properties. This is represented by option B. For example, when hydrogen gas (H₂) reacts with oxygen gas (O₂), a chemical change occurs, and water (H₂O) is formed. The properties of water, such as boiling point, density, and chemical reactivity, are distinct from those of its constituent elements.

Additionally, during a chemical change, atoms can rearrange to form molecules of different elements, as indicated in option A. For instance, during a nuclear reaction, such as radioactive decay, the nucleus of an atom can change, leading to the formation of atoms of different elements.

Option C is also correct. Depending on the specific reaction conditions, chemical changes can result in the formation of solids, liquids, or gases. For example, when a metal reacts with an acid, such as zinc with hydrochloric acid, a gas (hydrogen) is produced.

Options D and E are not universally applicable to all chemical changes. While some reactions may release heat energy (exothermic reactions), others may absorb heat energy (endothermic reactions). The requirement for heating or the release of heat depends on the specific reaction and its energy considerations.

In summary, during a chemical change, atoms can change into atoms of another element (A), new substances with different properties are formed (B), and solids, liquids, or gases may form (C).

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Answer:

A straight-chain alkane that has five carbon atoms, also known as pentane, differs from a cycloalkane that has five carbon atoms, also known as cyclopentane, in terms of their molecular structure and properties. Pentane has a linear, straight-chain structure, while cyclopentane has a ring-shaped structure. This difference in structure affects their physical and chemical properties. For example, pentane has a higher boiling point and lower melting point than cyclopentane due to the differences in the strength of the intermolecular forces between their molecules

Explanation:

To complete the equation, the blank should be filled with "ΔH°- ".

Option B is correct.

The equation represents the standard Gibbs free energy change (ΔG°) in a chemical reaction in terms of the enthalpy change (ΔH°) and the entropy change (ΔS°). The equation is:

ΔG° = ΔH° - TΔS°

ΔG° represents the change in Gibbs free energy,

ΔH° represents the change in enthalpy,

T represents the temperature in Kelvin, and ΔS° represents the change in entropy.

The minus sign indicates that the change in Gibbs free energy is determined by the difference between the enthalpy and the product of temperature and entropy.

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There are approximately 6.022 × 10^23 atoms in 12 grams of Carbon-12 (12C).

The number of atoms in a given amount of a substance can be calculated using Avogadro's number, which represents the number of atoms or molecules in one mole of a substance. Avogadro's number is approximately 6.022 × 10^23.

Carbon-12 is a specific isotope of carbon, with an atomic mass of 12 atomic mass units (amu). One mole of Carbon-12 has a mass of 12 grams. Since one mole of any substance contains Avogadro's number of particles, in the case of Carbon-12, it contains 6.022 × 10^23 atoms.

Therefore, if we have 12 grams of Carbon-12, which is equal to one mole, we can conclude that there are approximately 6.022 × 10^23 atoms in this amount of Carbon-12.

In summary, 12 grams of Carbon-12 contains approximately 6.022 × 10^23 atoms. Avogadro's number allows us to relate the mass of a substance to the number of atoms or molecules it contains, providing a fundamental concept in chemistry and enabling us to quantify and understand the microscopic world of atoms and molecules.

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Chioride of Platinum. PtClx .Contains 26.6% Cl.the oxidation state of platinum is +1.

In the compound PtClx, where x represents the number of chloride ions, we are given that the compound contains 26.6% chlorine. To determine the oxidation state of platinum (Pt) in this compound, we can utilize the concept of charge balance.

Chlorine is known to have an oxidation state of -1 in most compounds. Let's assume there are x chloride ions in the compound. Since the compound is neutral overall, the total charge contributed by the chloride ions is -x.

Since the compound doesn't contain any other elements, the total charge contributed by platinum must balance out the negative charge from the chloride ions. Therefore, the oxidation state of platinum can be determined by equating the total charge from the chloride ions to the charge contributed by platinum.

Given that the compound contains 26.6% chlorine, we can assume that there is one platinum atom in the compound (x = 1). Therefore, the total charge contributed by the chloride ions is -1.

To balance out the -1 charge, the platinum atom must have a +1 oxidation state. This implies that platinum has lost one electron to form a cationic species.

In conclusion, in the compound PtClx with 26.6% chlorine, the oxidation state of platinum is +1.

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The direction of heat transfer between two samples of carbon depends on their temperature difference, and not solely on their average kinetic energy. While the average kinetic energy of a substance is related to its temperature, it is not the determining factor for the direction of heat transfer.

When two samples of carbon come into contact, a heat transfer will occur between sample A and sample B. The direction of heat transfer is dependent on the temperature difference between the samples. Heat transfer always flows from a hotter object to a cooler object, so if sample A is hotter than sample B, heat will flow from A to B. If sample B is hotter than sample A, heat will flow from B to A.
The average kinetic energy of the molecules in a substance is related to its temperature. The higher the average kinetic energy, the higher the temperature of the substance. However, the average kinetic energy does not determine the direction of heat transfer.
It is possible for a substance with a lower average kinetic energy (and therefore a lower temperature) to transfer heat to a substance with a higher average kinetic energy (and therefore a higher temperature). This can occur if the substance with the lower temperature has a greater heat capacity, which means it can absorb more heat without a significant increase in temperature.

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A 5 carat diamond has a mass of 1.000 g. If the gemstone displaces a liquid from 1.00 mL to 1.30 mL, and the density of the diamond is 3.33 g/mL

To calculate the density of the diamond, we can use the formula:

Density = Mass / Volume

Given that the mass of the diamond is 1.000 g and it displaces a liquid from 1.00 mL to 1.30 mL, we can substitute these values into the formula:

Density = 1.000 g / (1.30 mL - 1.00 mL)

By subtracting the initial volume from the final volume, we find:

Density = 1.000 g / 0.30 mL

Performing the division, we obtain:

Density = 3.33 g/mL

Therefore, the density of the diamond is 3.33 g/mL.

It's important to note that the units for density are grams per milliliter (g/mL) because the mass is given in grams and the volume is given in milliliters.

Understanding and applying the formula for density allows us to determine the mass per unit volume of a substance. In this case, the density provides information about how much mass is contained within a given volume for the diamond.

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The red line in the diagram below represent

In the given diagram, the red line represents the activation energy. Activation energy is the minimum amount of energy required for a chemical reaction to occur. It represents the energy barrier that must be overcome for the reactants to form products.

The reactants start with a certain amount of potential energy, and the activation energy represents the additional energy needed to reach the transition state where the reaction can proceed.

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Answer:

3 Covalent Bonds and 1 Co ordinate Bond

Explanation:

4 bonds are in NH4¹+

NH4¹+ is the ammonium ion, which consists of a central nitrogen atom (N) and four hydrogen atoms (H). Nitrogen is located in group 15 of the periodic table and has 5 valence electrons. Hydrogen, on the other hand, has 1 valence electron.

To achieve a stable electron configuration, nitrogen needs to share electrons with the hydrogen atoms. Each hydrogen atom can form a single bond with the nitrogen atom by sharing its valence electron.

In NH4¹+, all four hydrogen atoms form single bonds with the central nitrogen atom. These bonds are represented by lines connecting each hydrogen atom to the nitrogen atom.

So, NH4¹+ has 4 bonds. Each bond represents a pair of electrons shared between the nitrogen atom and a hydrogen atom. The bonding arrangement ensures that the nitrogen atom has a complete octet (eight valence electrons) and each hydrogen atom has two electrons, following the stable configuration of helium.

The "+1" charge on NH4¹+ indicates that the ion has lost one electron, resulting in a positive charge. However, the number of bonds remains the same regardless of the charge.

Therefore, the correct answer is 4 for the number of bonds in NH4¹+.

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The velocity of the the newly formed molecule, given that the atoms of the newly formed molecules moved in the same direction is 2.149×10³ m/s

The velocity of the the newly formed molecule can be obtained as illustrated below:

m₁u₁ + m₂u₂ = v(m₁ + m₂)

(1 × 1.8×10³) + (35.5 × 2.1×10³) = v(1 + 35.5)

1.8×10³ + 76650 = 36.5v

78450 = 36.5v

Divide both sides by 36.5

v = 78450 / 36.5

= 2.149×10³ m/s

Thus, the velocity of the newly formed molecule is 2.149×10³ m/s

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The human population grew from 1 billion in the year 1800 to approximately 7.8 billion in the year 2021.

In the year 1800, the estimated global human population was around 1 billion. Over the next two centuries, significant advancements in technology, medicine, agriculture, and improved living conditions contributed to a rapid increase in population.

The growth rate of the human population began to accelerate in the 20th century. By the year 1927, the global population reached 2 billion. It took just 33 years for the population to double, reaching 4 billion in 1960. The population continued to grow at an unprecedented rate, with 6 billion people on Earth by the year 1999. As of 2021, the estimated global population stands at approximately 7.8 billion.

This remarkable growth in population can be attributed to several factors, including advancements in healthcare leading to reduced infant mortality rates, improved access to education and contraception, increased agricultural productivity, and overall socio-economic development.

It's important to note that population growth has not been uniform across all regions. Different countries and regions have experienced varying rates of population growth due to factors such as fertility rates, mortality rates, migration patterns, and government policies.

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The equation that can be able to complete the reaction as it has been shown is option C

Free energy takes into account both the enthalpy (heat content) and entropy (degree of disorder) of a system. It provides a measure of the system's ability to do useful work or drive chemical reactions.

The formula for calculating free energy is:

G = H - TS

where:

G is the Gibbs free energy

H is the enthalpy (heat content) of the system

T is the temperature in Kelvin

S is the entropy (degree of disorder) of the system

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e. The radius of the metal cylinder is 1.27 cm / 2 = 0.635 cm.

f. The volume of the metal cylinder is 4.745 cm³

g. The density of the metal cylinder is 7.53 g/cm³

Data given:

b. Mass of metal cylinder: 35.732 g

c. Length of metal cylinder: 3.15 cm

d. Diameter of metal cylinder: 1.27 cm

e. Radius of metal cylinder: The radius (r) of a cylinder is half of its diameter. Therefore, the radius of the metal cylinder is 1.27 cm / 2 = 0.635 cm.

To calculate the volume (V) of the metal cylinder;

V = πr²h, where π is approximately 3.14159, r is the radius, and h is the height (length) of the cylinder.

Volume of metal cylinder:

V = 3.14159 * (0.635 cm)² * 3.15 cm = 4.745 cm³

Density of metal cylinder:

Density (ρ) is defined as mass (m) divided by volume (V). Therefore, the density of the metal cylinder is ρ = 35.732 g / 4.745 cm³ = 7.53 g/cm³ (rounded to two decimal places).

So, the radius of the metal cylinder is 0.635 cm, the volume is 4.745 cm³, and the density is 7.53 g/cm³.

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The correct options are: changes in shape or size, color changes, formation of precipitates or gases, and whether changes are easily reversible.

According to the lab guide, the following changes below will be looked for in order to test the hypothesis: changes in shape or sizecolor changesformation of precipitates or gaseswhether changes are easily reversibleThese changes are the characteristics that will be observed in order to test the hypothesis in the lab. Furthermore, temperature changes and changes of state (gas, liquid, or solid) may also occur and can be observed while testing the hypothesis.

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Answer:

A,B,E,F

Explanation:

(a) The optical transition in the He+ spectrum that has the same wavelength as the first Lyman transition of hydrogen is from the n=3 to n=2 energy level. (b)  The second ionization energy of helium (He) is -54.4 eV. (c)  The radius of the first Bohr orbit for He+ is approximately 0.2645 angstroms.

(a) To find the optical transition in the He+ spectrum with the same wavelength as the first Lyman transition of hydrogen (n=2 to n=1), we need to consider the energy levels of both systems.

The energy of an electron in the nth energy level of hydrogen is given by the formula: E = -13.6/n^2 electron volts (eV).

For the Lyman transition, we have n1=2 and n2=1, so the energy difference is:

ΔE_H = E_2 - E_1 = -13.6(1/1^2 - 1/2^2) = -10.2 eV.

Now, for He+, the energy levels are determined by the nuclear charge Z=2 instead of Z=1 for hydrogen. The energy levels in He+ are given by the formula: E = -13.6Z^2/n^2 eV.

For the optical transition with the same wavelength as the Lyman transition, we need to find the value of n for which the energy difference matches ΔE_H.

Setting the energy difference equal to ΔE_H, we have:

-13.6(2^2/n^2) = -10.2.

Solving this equation gives us n^2 = 8, so n = √8 = 2.83.

The optical transition in the He+ spectrum that has the same wavelength as the first Lyman transition of hydrogen is from the n=3 to n=2 energy level.

(b) The second ionization energy of He+ refers to the energy required to remove the second electron from the He+ ion. Since He+ already has only one electron, removing it will result in a neutral helium atom. The second ionization energy of He+ is the same as the ionization energy of neutral helium.

The ionization energy of neutral helium can be calculated using the formula:

[tex]\(\hat{v} = \frac{{-13.6Z^2}}{{n^2}}\)[/tex], where Z is the nuclear charge (2 for helium) and n is the principal quantum number of the electron in the initial energy level.

To find the second ionization energy, we need to remove the second electron from neutral helium, which is in the n=1 energy level. Plugging in the values, we get:

[tex]\(\hat{v} = \frac{{-13.6 \times 2^2}}{{1^2}} = -54.4 \, \text{eV}\).[/tex]

(c) The radius of the first Bohr orbit for He+ can be calculated using the Bohr radius formula:

r =[tex]\(\frac{{0.529 \times n^2}}{{Z}}\)[/tex] angstroms.

For He+, Z = 2 and we need to consider the n = 1 orbit. Plugging in the values, we have:

r =[tex]\(\frac{{0.529 \times 1^2}}{{2}} = 0.2645\)[/tex] angstroms.

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The volume of the tank is approximately 130.75 m³.

To solve this problem, we need to use the concept of air and water vapor mixture. The given data includes the mass of dry air and water vapor, temperature, and total pressure. We can calculate the specific humidity, relative humidity, and volume of the tank using the following steps:

(a) Specific humidity:

The specific humidity (ω) is defined as the ratio of the mass of water vapor (m_w) to the total mass of the air-water vapor mixture (m_t):

ω = m_w / m_t

Given that the mass of water vapor is 0.17 kg and the total mass of the mixture is 15 kg + 0.17 kg = 15.17 kg, we can calculate the specific humidity:

ω = 0.17 kg / 15.17 kg ≈ 0.0112

So, the specific humidity is approximately 0.0112.

(b) Relative humidity:

Relative humidity (RH) is the ratio of the partial pressure of water vapor (P_w) to the saturation vapor pressure of water (P_ws) at the given temperature, multiplied by 100:

RH = (P_w / P_ws) * 100

To find the relative humidity, we need to determine the saturation vapor pressure at 30°C. Using a vapor pressure table or equation, we can find that the saturation vapor pressure at 30°C is approximately 4.246 kPa.

Given that the total pressure is 100 kPa, the partial pressure of water vapor is 0.17 kg / 15.17 kg * 100 kPa = 1.119 kPa.

Now we can calculate the relative humidity:

RH = (1.119 kPa / 4.246 kPa) * 100 ≈ 26.34%

So, the relative humidity is approximately 26.34%.

(c) Volume of the tank:

To find the volume of the tank, we can use the ideal gas law equation:

PV = nRT

Where P is the total pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature in Kelvin.

First, we need to calculate the number of moles of dry air and water vapor in the tank. The number of moles (n) can be obtained using the equation:

n = m / M

Where m is the mass and M is the molar mass.

The molar mass of dry air is approximately 28.97 g/mol, and the molar mass of water vapor is approximately 18.015 g/mol.

For dry air:

n_air = 15 kg / 0.02897 kg/mol ≈ 517.82 mol

For water vapor:

n_water = 0.17 kg / 0.018015 kg/mol ≈ 9.43 mol

Now we can calculate the volume using the ideal gas law:

V = (n_air + n_water) * R * T / P

Given that R is the gas constant (8.314 J/(mol·K)), T is the temperature in Kelvin (30°C + 273.15 = 303.15 K), and P is the total pressure (100 kPa), we can calculate the volume:

V = (517.82 mol + 9.43 Mol) * 8.314 J/(mol·K) * 303.15 K / (100,000 Pa) ≈ 130.75 m³

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Each person should choose 6 items from Column A and 4 items from Column B, ensuring that everyone orders the same number of items from each column. Option B

To divide the items evenly among four people while ensuring that each person orders the same number of items from each column, we need to find the common divisor of the number of items in each column.

Column A has 24 items, and Column B has 16 items. The common divisor of 24 and 16 is 8. Therefore, each person should choose 8 items.

Since there are 24 items in Column A, and each person needs to choose 8 items, the answer is 24 divided by 8, which equals 3. Each person should choose 3 items from Column A.

Similarly, since there are 16 items in Column B, and each person needs to choose 8 items, the answer is 16 divided by 8, which equals 2. Each person should choose 2 items from Column B.

Therefore, the correct answer is:

B) 6 from A, 4 from B

Each person should choose 6 items from Column A and 4 items from Column B, ensuring that everyone orders the same number of items from each column.

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The phrase "The science" best escribes synthesis.

Synthesis epitomizes the art of forging novel entities through the amalgamation of preexisting materials or information. Its versatile application spans across a plethora of domains, encompassing disciplines such as chemistry, biology, physics, and engineering.

Synthesis stands as an omnipotent instrument, harnessing the potential to engender fresh wisdom and surmount challenges. It assumes an indispensable role within a myriad of fields of study, constituting a fundamental acumen for engineers, scientists, and other astute practitioners.

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Complete question:

Which phrase describes synthesis?

The change

The reading

The emotion

The science

Answer:divide

Explanation:this is not science this is math dont be lazy just divide

The balanced equation is: 4 [tex]H_2S[/tex]+ 3 [tex]O_2[/tex]→ 4 [tex]SO_2[/tex]+ 8 [tex]H_2O[/tex]

The given chemical equation is unbalanced. To balance it, we need to adjust the coefficients in front of each chemical species until the number of atoms on both sides of the equation is equal.

The unbalanced equation is:

2 [tex]H_2S[/tex]+ 3 [tex]O_2[/tex]→ [tex]SO_2[/tex]

Let's start by balancing the sulfur (S) atoms. We have two sulfur atoms on the left side and one sulfur atom on the right side. To balance the sulfur, we can place a coefficient of 2 in front of the [tex]SO_2[/tex]:

2 [tex]H_2S[/tex]+ 3 [tex]O_2[/tex]→ 2 [tex]SO_2[/tex]

Now, let's balance the hydrogen (H) atoms. We have four hydrogen atoms on the left side (2 from each [tex]H_2S[/tex]) and none on the right side. To balance the hydrogen, we can place a coefficient of 4 in front of the water (H2O) on the right side:

2 [tex]H_2S[/tex]+ 3 [tex]O_2[/tex]→ 2 [tex]SO_2[/tex]+ 4 [tex]H_2O[/tex]

Finally, let's balance the oxygen (O) atoms. We have six oxygen atoms on the right side (3 from [tex]O_2[/tex] and 3 from 2 [tex]SO_2[/tex]) and three on the left side (2 from [tex]H_2S[/tex]). To balance the oxygen, we can place a coefficient of 3/2 in front of the O2:

2 [tex]H_2S[/tex]+ (3/2) [tex]O_2[/tex]→ 2 [tex]SO_2[/tex]+ 4 [tex]H_2O[/tex]

To remove the fractional coefficient, we can multiply all coefficients by 2:

4 [tex]H_2S[/tex] + 3 [tex]O_2[/tex]→ 4 [tex]SO_2[/tex]+ 8 [tex]H_2O[/tex]

Now the equation is balanced, with an equal number of atoms on both sides. The balanced equation is:

4 [tex]H_2S[/tex]+ 3 [tex]O_2[/tex]→ 4 [tex]SO_2[/tex]+ 8 [tex]H_2O[/tex]

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The correct answer is B. 8 molecules [tex]SO_3[/tex]. Option B

In the given reaction:

S(s) + [tex]O_2[/tex](g) → [tex]SO_3[/tex](g)

The stoichiometric coefficient in front of the [tex]SO_3[/tex]molecule is 8, which indicates that 8 molecules of [tex]SO_3[/tex]are formed as a product. This coefficient represents the ratio of the number of molecules involved in the reaction.

Option A (8 atoms [tex]SO_3[/tex]) is incorrect because it only mentions the number of atoms, not molecules. The stoichiometric coefficient does not represent the number of atoms, but rather the number of molecules.

Option C (80.07g [tex]SO_3[/tex]) is incorrect because it mentions a specific mass. The stoichiometric coefficient does not directly represent the mass of the substance, but rather the relative amount of molecules involved in the reaction.

Option D (32 [tex]SO_3[/tex]) is incorrect because it mentions a specific volume. The stoichiometric coefficient does not directly represent the volume of the substance, but rather the relative amount of molecules involved in the reaction.

Therefore, the correct way to describe the [tex]SO_3[/tex]component in the reaction is option B: 8 molecules [tex]SO_3[/tex]. This represents the ratio of the number of molecules of [tex]SO_3[/tex]that are produced in the reaction.

Option B

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The purpose of the cotton wool plug on the conical flask is to permit the free passage of air over the edge of the flask and prevent the establishment of semi-anaerobic conditions in the culture. It can also be used to allow gases produced during a reaction to escape while preventing contaminants from entering the flask.

Container 3 has the gas stored at the highest temperature.

Temperature is a measure of the average kinetic energy of the particles in a substance. In the given table, it is stated that container 3 has a large number of collisions with container walls, high average kinetic energy, and large number of particles with large spaces between them.

These properties indicate that the gas in container 3 has higher kinetic energy and more vigorous movement compared to the other containers.

Container 1 has a low number of collisions with container walls and a medium average kinetic energy. This suggests that the gas in container 1 has lower energy and less movement than the gas in container 3.

Container 2 has a large number of collisions with container walls, but it also has a small number of particles with little spaces between them. While the collisions may be frequent, the limited number of particles and the lack of space between them may result in lower overall kinetic energy compared to container 3.

Container 4 has few collisions with container walls, low average kinetic energy, and a small number of particles. These properties indicate that the gas in container 4 has the lowest energy and least movement among all the containers.

Container 3

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The statement "Each member of a homologous series differs from its nearest neighbors by 14 amu" is true of members about a homologous series.

In organic chemistry, a homologous series unveils itself as a sequential assembly of compounds exhibiting an identical functional group, boasting akin chemical traits. Within this series, the constituents can either sport a branched or unbranched structure, or deviate through the molecular formula of CH2 and a molecular mass variation of 14u.

This divergence may manifest as the elongation of a carbon chain, as observed in the linear alkanes (paraffins), or as the augmentation in the count of monomers forming a homopolymer, such as amylose.

The entities belonging to a homologous series typically embrace a fixed assortment of functional groups, thereby conferring upon them resemblant chemical and physical characteristics.

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Answer: 80.14

Explanation:

The first step to solve this problem is to calculate the amount of oxygen gas needed to react with the given amount of acetylene gas. According to the balanced equation of the combustion reaction, 5 moles of O2 are needed for every 2 moles of C2H2:

2C2H2(g) + 5O2(g) → 4CO2(g) + 2H2O(g)

Thus, we can use the following proportion to calculate the amount of oxygen gas needed:

5 mol O2 / 2 mol C2H2 = x mol O2 / y mol C2H2

where x and y are the numbers of moles of oxygen and acetylene gases, respectively, needed to fill each tank.

To calculate the pressure needed to fill the acetylene tank, we can use the ideal gas law:

PV = nRT

where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature. Assuming that the temperature and volume are constant for both tanks, we can write:

P1 / P2 = n1 / n2

where P1 and P2 are the pressures in the oxygen and acetylene tanks, respectively, and n1 and n2 are the number of moles of each gas.

Now, we can combine these two equations to solve for P2, the pressure in the acetylene tank:

5 / 2 = x / y

y = 2x / 5

P1 / P2 = n1 / n2 = (5 mol / 4.50 L) / (2x / 6.50 L)

P2 = P1 * (2x / 5) * (4.50 L / 6.50 L)

P2 = 145 atm * (2/5) * (4.50/6.50)

P2 = 80.14 atm

Therefore, the acetylene tank should be filled to a pressure of 80.14 atm to ensure that both tanks run out of gas at the same time.

The balanced equation is: 4 [tex]H_2S[/tex]+ 3 [tex]O_2[/tex]→ 4 [tex]SO_2[/tex]+ 8 [tex]H_2O[/tex]

The given chemical equation is unbalanced. To balance it, we need to adjust the coefficients in front of each chemical species until the number of atoms on both sides of the equation is equal.

The unbalanced equation is:

2 [tex]H_2S[/tex]+ 3 [tex]O_2[/tex]→ [tex]SO_2[/tex]

Let's start by balancing the sulfur (S) atoms. We have two sulfur atoms on the left side and one sulfur atom on the right side. To balance the sulfur, we can place a coefficient of 2 in front of the [tex]SO_2[/tex]:

2 [tex]H_2S[/tex]+ 3 [tex]O_2[/tex]→ 2 [tex]SO_2[/tex]

Now, let's balance the hydrogen (H) atoms. We have four hydrogen atoms on the left side (2 from each [tex]H_2S[/tex]) and none on the right side. To balance the hydrogen, we can place a coefficient of 4 in front of the water (H2O) on the right side:

2 [tex]H_2S[/tex]+ 3 [tex]O_2[/tex]→ 2 [tex]SO_2[/tex]+ 4 [tex]H_2O[/tex]

Finally, let's balance the oxygen (O) atoms. We have six oxygen atoms on the right side (3 from [tex]O_2[/tex]and 3 from 2 [tex]SO_2[/tex]) and three on the left side (2 from [tex]H_2S[/tex]). To balance the oxygen, we can place a coefficient of 3/2 in front of the O2:

2 [tex]H_2S[/tex]+ (3/2) [tex]O_2[/tex]→ 2 [tex]SO_2[/tex]+ 4 [tex]H_2O[/tex]

To remove the fractional coefficient, we can multiply all coefficients by 2:

4 [tex]H_2S[/tex]+ 3 [tex]O_2[/tex]→ 4 [tex]SO_2[/tex]+ 8 [tex]H_2O[/tex]

Now the equation is balanced, with an equal number of atoms on both sides. The balanced equation is:

4 [tex]H_2S[/tex]+ 3 [tex]O_2[/tex]→ 4 [tex]SO_2[/tex] + 8 [tex]H_2O[/tex]

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The heat capacity for the metals are;

Aluminum -  0.89

Copper - 0.11

Iron - 0.44

Lead - 0.12

The specific heat of a substance is denoted by the symbol "C" and is typically measured in units of J/g·°C (joules per gram per degree Celsius) or cal/g·°C (calories per gram per degree Celsius).

The specific h

We have that;

For Aluminum;

c = 4.184 * 39.85 * 4.7/11.98 * 72.9

= 783.6/873.3

= 0.89

For Copper;

c =  4.184 * 12.14 * 1.9/12.14 * 75.4

= 96.5/915.3

= 0.11

For Iron

c =  4.184 * 40.24 * 2.4/12.31 * 75.1

= 404.1/924.5

= 0.44

For Lead

c = 4.184 * 39.65 * 0.7/12.46 * 76.7

c = 116.1/955.68

= 0.12

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The enthalpy change (ΔH) for the reaction CaC(s) + H2O(I) → Ca(OH)(ag) + CH4(g) is -3617.6 kJ.

To calculate ΔH for the reaction CaC(s) + H2O(l) → Ca(OH)2(ag) + CH4(g), we can use Hess's law, which states that the enthalpy change of a reaction is independent of the pathway taken and depends only on the initial and final states.

We can manipulate the given reactions to obtain the desired reaction:

(i) Ca(s) + 2C(graphite) → CaC2(s) ΔH = X (unknown value)

(ii) Ca(s) + 1/2O2(g) → CaO(s) ΔH = -635.5 kJ

(iii) CaO(s) + H2O(l) → Ca(OH)2(ag) ΔH = -653.1 kJ

(iv) CH4(g) + 2O2(g) → CO2(g) + 2H2O(l) ΔH = -1300.0 kJ

(v) C(graphite) + 1/2O2(g) → CO(g) ΔH = -393.5 kJ

Now, let's manipulate these equations to cancel out the common reactants and products and obtain the desired reaction:

(i) Ca(s) + 2C(graphite) → CaC2(s) ΔH = X

(ii) Ca(s) + 1/2O2(g) → CaO(s) ΔH = -635.5 kJ

(iii) CaO(s) + H2O(l) → Ca(OH)2(ag) ΔH = -653.1 kJ

(iv) CH4(g) + 2O2(g) → CO2(g) + 2H2O(l) ΔH = -1300.0 kJ

(v) C(graphite) + 1/2O2(g) → CO(g) ΔH = -393.5 kJ

Now, let's sum up the equations to obtain the desired reaction:(i) Ca(s) + 2C(graphite) → CaC2(s) ΔH = X

(ii) 2Ca(s) + O2(g) → 2CaO(s) ΔH = -1271 kJ

(iii) CaO(s) + H2O(l) → Ca(OH)2(ag) ΔH = -653.1 kJ

(iv) CH4(g) + 2O2(g) → CO2(g) + 2H2O(l) ΔH = -1300.0 kJ

(v) C(graphite) + 1/2O2(g) → CO(g) ΔH = -393.5 kJ

By adding equations (ii), (iii), (iv), and (v), we can cancel out CaO(s), H2O(l), and O2(g):

2Ca(s) + 2C(graphite) + CH4(g) → 2Ca(OH)2(ag) + CO(g) ΔH = X -1271 -653.1 -1300.0 -393.5

2Ca(s) + 2C(graphite) + CH4(g) → 2Ca(OH)2(ag) + CO(g) ΔH = X -3617.6 kJ

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