2.How might the structure of molecules help scientists determine how they interact with other molecules?

Answers

Answer 1

According to the molecular geometry, with the help of structure of molecules which provide information on site of attachment with other molecules, one can determine their mode of reaction.

What is molecular geometry?

Molecular geometry can be defined as a three -dimensional arrangement of atoms which constitute the molecule.It includes parameters like bond length,bond angle and torsional angles.

It influences many properties of molecules like reactivity,polarity color,magnetism .The molecular geometry can be determined by various spectroscopic methods and diffraction methods , some of which are infrared,microwave and Raman spectroscopy.

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Answer 2

Answer: The shape of a molecule helps to determine its properties, which affect how a molecule interacts with other molecules, such as polarity and bonding.


Related Questions

Please help!! Will give brainly, photo of problem is attached

Answers

According to the stoichiometry of the mentioned chemical equation, 17.77 g of nitrogen gas is formed.

What is stoichiometry?

It is the determination of proportions of elements or compounds in a chemical reaction. The related relations are based on law of conservation of mass and law of combining weights and volumes.

Stoichiometry is used in quantitative analysis for measuring concentrations of substances present in the sample.

64 g of ammonium nitrite gives 36 g of nitrogen , thus, 32.5 g of ammonium nitrite will give 32.5 ×36/64=17.77 g.

Thus,17.77 g of nitrogen gas is formed.

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Al2(SO4)3 amount of atoms?

Answers

Answer:

17 atoms

Explanation:

So there are two aluminum atoms, three sulfur atoms, and 12 oxygen atoms in a single unit of the compound Al2(SO4)3. This sums to 17.

What is the molecular formula for a compound that is 33.38% sulfur and 66.62% oxygen and has a molar mass of 192.14g?

Answers

The empirical formula of a compound gives the whole number ratio of atoms of various elements. The molecular formula of the compound is S₂O₈.

What is Molecular formula?

The molecular formula of a compound is defined as the formula which gives the actual number of atoms of various elements present in one molecule of the compound.

Here 33.38 % 'S' = 33.38 g

66.62 % 'O' = 66.62 g

Number of moles (n) = Given mass / Molar mass

'n' of 'S' = 33.38 / 32 = 1.04 moles

'n' of 'O' = 66.62 / 16 = 4.16 moles

The ratio of number of atoms of 'S' and 'O' = 1 : 4

So empirical formula is SO₄.

Since the molar mass = 192.14g

Molecular formula = (SO₄)ₙ

192.14 = n × (32 + 4 × 16)

n = 2

Thus the molecular formula is S₂O₈ .

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What is the molar mass of iron in Daltons?​

Answers

Answer:

The molar mass of iron (Fe) is approximately 55.845 g/mol or 55,845 Daltons.

Explanation:

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What will happen to the portion of the molecule labeled C at the end of
the reaction when the product is released?
A. It will break down during the reaction process.
B. It will be scavenged by lysosomes and destroyed.
C. It will bind to another molecule of substrate.
D. It will be divided between the two products.

Answers

It will be scavenged by lysosomes and destroyed.

What is a lysosome?

Degradative organelles known as lysosomes serve as the cell's waste disposal system by breaking down old components found in the cytoplasm from both inside and outside the cell. Endocytosis is the process by which material from the outside of the cell is taken up; autophagy is the process by which material from within the cell is broken down.The organelles come in a wide range of sizes; the bigger ones might be up to ten times bigger than the smaller ones.Belgian researcher Christian de Duve, who later won the Nobel Prize in Physiology or Medicine in 1974, was responsible for their discovery and naming.More than 50 membrane proteins and more than 60 distinct enzymes have been found in lysosomes.

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What property is dependent on the mass of the object?
A: temperature
B: phase
C: state
D: heat

Answers

Answer:

D Heat

Explanation:

Tell me if you need explain

ALLEN

The answer is D


Explanation because heat has mass

Which of the following happens when an ionic bond is formed? (1 point)
O One atom becomes more electronegative than another atom.
O Two atoms share an electron.
O Two atoms attain equal electronegativities.
One atom pulls an electron from another atom.

Answers

One atom pulls an electron from another atom during formation of an ionic bond.

Ionic bond formation results in which of the following?

The complete transfer of certain electrons from one atom to another results in the formation of an ionic connection. A negatively charged ion known as a cation results from an atom losing one or more electrons. An anion, or negatively charged ion, is created when an atom gains one or more electrons.

To make stable atoms, ions are produced. In a chemical process known as an ionic bond, ions join forces with an atom or compound that has an opposing charge in order to become stable. Atoms are bound together during chemical processes to create neutral, stable molecules.

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An aqueous solution is 12.0% by mass silver nitrate, AgNo3, and had a density of 1.11 g/ml. The mole fraction of silver nitrate in the solution is?

Answers

Answer:

Explanation:

To find the mole fraction of silver nitrate in the solution, you need to first find the molar mass of silver nitrate and then the number of moles of silver nitrate in the solution. Here's how you can do that:

Calculate the molar mass of silver nitrate:

AgNo3 has a molar mass of 169.87 g/mol

Calculate the mass of silver nitrate in the solution:

The solution is 12.0% by mass silver nitrate, so the mass of silver nitrate in 100 mL of the solution is:

mass of AgNO3 = 100 mL * 0.12 g/mL = 12 g

Calculate the number of moles of silver nitrate:

Number of moles of AgNO3 = mass of AgNO3 / molar mass of AgNO3

Number of moles of AgNO3 = 12 g / 169.87 g/mol = 0.0703 moles

Calculate the number of moles of the solvent (water) in the solution:

Since the density of the solution is 1.11 g/mL, the mass of 100 mL of the solution is 111 g. The mass of water in the solution is:

mass of water = 111 g - 12 g = 99 g

Since the molar mass of water is 18.015 g/mol, the number of moles of water in the solution is:

number of moles of water = 99 g / 18.015 g/mol = 5.49 moles

Calculate the mole fraction of silver nitrate:

The mole fraction of silver nitrate is the ratio of the number of moles of silver nitrate to the total number of moles in the solution:

mole fraction of AgNO3 = 0.0703 moles / (0.0703 moles + 5.49 moles) = 0.0127

So, the mole fraction of silver nitrate in the solution is 0.0127.

What isotopes are used to determine the age of ancient objects?

Answers

Answer:

Radioactive isotope carbon-14

Explanation:

Radiocarbon dating, also known as carbon-14 dating, is a method that is commonly used to determine the age of ancient objects. This method relies on the measurement of the radioactive isotope carbon-14. Carbon-14 is formed in the upper atmosphere by the interaction of cosmic rays with nitrogen-14 atoms. It then enters the food chain and is taken up by plants and animals. Upon death, the carbon-14 in the organism begins to decay, with a half-life of approximately 5,700 years. By measuring the amount of carbon-14 remaining in an ancient object, scientists can determine how long it has been since the object died and calculate its age.

Another method for determining the age of ancient objects is uranium-lead dating, which relies on the measurement of the isotopes uranium-238 and lead-206. This method is useful for determining the age of rocks and minerals, as well as for dating the age of the Earth itself.

Answer:

Radioactive isotope carbon-14

Explanation:

In going from room temperature (25 C) to 20 C above room temperature, the rate of reaction triples. Calculate the activation energy for the reaction .

Answers

Answer: 67890iuhnm, m

Explanation:b ghjit6789 k k

What is frequency?


A. the lowest point of the wave in relation the the undisturbed position

B. the number of crests that pass a given point in one second

C. a measure of the electromagnetic field's alignment

D. the highest point of the wave in relation to the undisturbed position

Answers

Answer: B

Explanation: The number of waves passing through a point in one second is called frequency.

Which of the following is
the correct way to express
0.0000321 in scientific
notation?
A. 3.21 x 105
B. 32.1 x 106
C. 3.21 x 10-5
D. 32.1 x 10-6

Answers

3.21x10^-5 would be the answer

Lab: Measuring pH Table or

Lab Report please ( just link it )

Answers

There are two ways to measure pH: calorimetrically with indicator fluids or sheets and electrochemically with electrodes and a millivoltmeter for greater accuracy (pH meter).

A pH lab report is what?

The pH scale is used to indicate how basic or acidic a solution is (pH stands for potential of hydrogen). The pH scale gauges a substance's acidity or basicity. It falls between 0 and 14. Seven is the neutral pH.

How is pH calculated?

The pH scale is a useful tool for illustrating how basic or acidic a solution is. By using the negative logarithm of the hydronium ion concentration, or pH = -log[H3O+], we may determine the pH of a solution.

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Answer: here’s mine :)

A scientist studies the effect of adding different amounts of salt on the boiling point of water. He places his results in the
graph below.

What are the independent and dependent variables in this experiment?

Mass is the independent variable, and boiling point is the dependent variable

Bowling point is the independent variable, and mass is the dependent variable

There are two independent variables and no dependent variables

There are two dependent variables and no independent variables

Answers

Answer:

Mass is the independent variable, and boiling point is the dependent variable.

Describe the molecular structure around the indicated atom or atoms:
(a) the sulfur atom in sulfuric acid, (b) the chlorine atom in chloric acid, (c) the oxygen atom in hydrogen peroxide, HOOH
(d) the nitrogen atom in nitric acid, (e) the oxygen atom in the OH group in nitric acid, (f) the central oxygen atom in the ozone molecule, (g) each of the carbon atoms in propyne, (h) the carbon atom in Freon, (i) each of the carbon atoms in allene,

Answers

(a) tetrahedral (b) tetrahedral (c) bent or V-shaped (d) trigonal planar (e) bent or V-shaped (f) bent or V-shaped (g) linear (h) tetrahedral (i) trigonal planar

(a) The molecular structure is tetrahedral around the sulfur atom, with the four oxygen atoms forming the vertices of the tetrahedron.

(b) The molecular structure is tetrahedral around the chlorine atom, with the three oxygen atoms and hydrogen atom.

(c) The molecular structure is bent or V-shaped around the oxygen atom, with the two hydrogen atoms at the bottom of the V.

(d) The molecular structure is trigonal planar around the nitrogen atom, with the three oxygen atoms and hydrogen atom.

(e) The molecular structure is bent or V-shaped around the oxygen atom, with the hydrogen atom and nitrogen atom.

(f) The molecular structure is bent or V-shaped around the central oxygen atom, with the two other oxygen atoms at the bottom of the V.

(g) The molecular structure around each carbon atom is linear, with the two other carbon atoms forming a straight line with the carbon atom at the center.

(h) The molecular structure around the carbon atom is tetrahedral, with the two other carbon atoms and two fluorine atoms forming the vertices of the tetrahedron.

(i) The molecular structure around each carbon atom is trigonal planar, with the two other carbon atoms forming a straight line.

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--The complete question is, Describe the molecular structure around the indicated atom or atoms:

(a) the sulfur atom in sulfuric acid,

(b) the chlorine atom in chloric acid,

(c) the oxygen atom in hydrogen peroxide, HOOH

(d) the nitrogen atom in nitric acid,

(e) the oxygen atom in the OH group in nitric acid,

(f) the central oxygen atom in the ozone molecule,

(g) each of the carbon atoms in propyne,

(h) the carbon atom in Freon,

(i) each of the carbon atoms in allene--

list three ways to increase the rate of calcium carbinate and hydrochloric acid

Answers

The three ways to increase the rate of calcium carbinate and hydrochloric acid are decreasing pressure, increasing temperature and use of catalyst.

What is pressure?

Pressure is defined as the force applied on an object perpendicular to it's surface per unit area over which it is distributed.Gauge pressure is a pressure which is related with the ambient pressure.

There are various units by which pressure is expressed most of which are derived units which are obtained from unit of force divided by unit of area . The SI unit of pressure is pascal .

It is a scalar quantity which is related to the vector area element with a normal force acting on it.It is distributed over solid boundaries and across arbitary sections of fluid normal to the boundaries at every point.

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What are the properties of noble gases and why are they so unreactive?

Answers

Answer:

because they have a full outer electron shell

Explanation:

Answer:

Noble gases are unreactive because they have a full outer electron shell, making them very stable and unlikely to participate in chemical reactions. They have low reactivity and are odorless, tasteless, and colorless gases.

Explanation:

What is the solubility of PbF₂ in a solution that contains 0.0500 M Pb²⁺ ions?

Answers


4.24 × 10⁻⁴ M


This should be the right answer I will attach my work with this

The solubility product constant (Ksp) of PbF2 may be used to calculate the solubility of PbF2 in a solution containing 0.0500 M Pb2+ ions. PbF2 has a Ksp of 8.3 x 10-8.

What is the way for calculating the concentration ?

Accordingly, the concentration of Pb2+ ions multiplied by the concentration of F ions at equilibrium must equal 8.3 x 10-8. By dividing the Ksp by the known concentration of Pb2+ ions (0.0500 M), which is known, the concentration of F ions may be calculated.

As a result, there will be 1.66 x 10-6 M or 8.3 x 10-8/0.0500 M of F ions in the solution. This indicates that 1.66 x 10-6 M of PbF2 is soluble in the solution.

It is essential to remember that the The answer is 1.66 x 10-6 M. Due to the low concentration of F ions in this solution, it is significant to notice that PbF2 is not highly soluble in it. This is due to the fact that the relationship between the concentration of Pb2+ ions and the solubility of PbF2 is inverse.

The solubility of PbF2 reduces as Pb2+ ion concentration rises. PbF2 is therefore only barely soluble in this solution.  

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Colorimetric Analysis of Asprin Chem Lab:
Students prepared a solution by hydrolyzing 0.3219 g of a crushed aspirin tablet in NaOH and then diluting with DI water in a 100-mL volumetric flask. Next, they transferred 1.50 mL of the solution to a 50-mL volumetric flask and diluted to the mark with FeCl3-KCl-HCl solution. The absorbance of the dilution was 0.346. Using their standard curve, they determined the concentration to be 5.02 × 10e-4 mol/L. If an aspirin tablet weighs 0.4267 g, determine the mass of ASA (in mg) per tablet.
*Note the answer is 400 mg and the Molarity of the standard solution is unknown.
-To account for not using the whole crushed tablet multiply by the ratio of m(tablet)/m(tablet used).
-I'm not sure which step in the calculations to apply this ratio.
-Any help would be greatly appreciated!

Answers

The mass of ASA - Acetylsalicylic acid per tablet is 214.9 mg. The number of moles present in the tablet, is 0.001190.

For this experiment it is important to find the number of moles of ASA present in the solution. By doing this we will get the amount of ASA in the tablet also.

Students prepared a solution by hydrolyzing 0.3219 g of a crushed aspirin tablet in NaOH and then diluting with DI water in a 100-mL volumetric flask.

Number of moles = mass of ASA / molar mass of ASA

The molar mass of ASA = 180.16 g/mol

Therefore, Number of moles = 0.3219 g / 180.16 g/mol

= 0.001785 mol.

Now finding the number of moles present in the tablet,

Moles in tablet = (moles of ASA from solution) x (mass of tablet / mass of solution)

= 0.001785 mol x (0.4267 g / 0.3219 g x 1.50 mL / 50 mL)

= 0.001190 mol

Now finding the mass of ASA,

Mass of ASA per tablet = (moles of ASA in tablet) x (molar mass of ASA)

= 0.001190 mol x 180.16 g/mol

= 0.2149 g or 214.9 mg

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What effect does a drop in pH during high-intensity interval exercise have on glycogen utilization?

Answers

Answer:

During high-intensity interval training, a pH decrease may affect how well glycogen is used. Acidosis, often known as a drop in pH, is a condition that develops when lactic acid builds up in the muscles. The glycogen phosphorylase enzyme, which converts glycogen to glucose, may become inhibited as a result of this acidosis. As a result, glycogen is used less frequently as a source of energy. As a result of this decline in glycogen usage, tiredness and poor performance during intense activity may result. However, the impact of acidosis on glycogen use is poorly understood, and more investigation is needed to identify the underlying mechanism.

Hope it helps! : )

Explanation:

Answer:

During high-intensity interval exercise, a drop in pH can affect glycogen utilization in several ways. A decrease in pH, also known as acidosis, can lead to a decrease in the activity of enzymes involved in glycogen metabolism. For example, glycolytic enzymes, which break down glycogen into glucose and other metabolites, are sensitive to changes in pH and their activity may be decreased in acidic conditions.

In addition, acidosis can also reduce the availability of glycogen in muscle cells, as it can cause the breakdown of glycogen into lactate, which can interfere with the normal functioning of the muscle. This, in turn, can lead to decreased energy production and a reduction in the ability of the muscles to perform high-intensity activities.

Explanation:

Therefore, a drop in pH during high-intensity interval exercise can have a negative impact on glycogen utilization, leading to decreased energy production and reduced athletic performance.

Calculate the volume of air in liters that you might inhale (and exhale) in 24.0 hours. Assume that each breath has a volume of 0.495 liters, and that you are breathing 13 times a minute.

Answers

The units which are used to represent the volume are mL, L, cm³, m³, etc. The volume of air in liters that you might inhale (and exhale) in 24.0 hours is 10,684.8 L.

What is volume?

The measure of the capacity that an object holds is generally defined as the volume. For example if a beaker can hold 100 mL of water, then its volume is said to be 100mL.

Here in minute, volume is:

15 × 0.495 = 7.42 L

In an hour, volume is:

7.42 × 60 = 445.2

In 24 hours, the volume will be:

Volume = 445.2 × 24 = 10,684.8 L

Thus the volume of air in 24 hours is 10,684.8 L.

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Would aluminum be a positive or a negative charge if it just lost one valance electron?

Answers

An aluminium atom will be positive if it just lost one valence electron.

What is an ion?

Ion is an atom or group of atoms bearing an electrical charge, such as the sodium and chlorine atoms in a salt solution.

An ion is formed when an atom loses or gains electrons. Ions are formed by the addition of electrons to, or the removal of electrons from, neutral atoms or molecules or other ions.

According to this question, an aluminium atom is neutrally charged i.e. 0. However, when it loses an electron, it becomes positively charged.

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The percent by mass of cobalt(II) in COSO3 is _____%.

please help.

Answers

The percentage by mass of cobalt in cobalt sulfate is 42.39%.

How to calculate percent by mass?

The mass percentage of a solution equals the mass of an element in one mole of the compound divided by the molar mass of the compound, multiplied by 100.

Percent by mass = (atomic mass of element/atomic mass of compound) × 100

According to this question, cobalt sulfate is given in this question. The atomic mass of cobalt is 58.93g/mol while the atomic mass of cobalt sulfate is 138.996g/mol.

% by mass = (58.93 ÷ 138.996) × 100

% by mass = 42.39%

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A sample of aluminum with mass of 53.2 g is initially at
155 °C. What is the temperature of the aluminum after it
en loses 2.87 x 10³ J?

Answers

Answer:

the final temperature of the aluminum after losing 2.87 x 10^3 J of heat is approximately 91.3 °C.

Explanation:

The relationship between heat, mass, and temperature change can be described by the formula:

Q = mcΔT

where Q is the heat transferred (in joules), m is the mass of the sample (in kilograms), c is the specific heat capacity of aluminum (about 0.9 J/g°C), and ΔT is the change in temperature (in degrees Celsius).

Rearranging the equation to solve for ΔT, we get:

ΔT = Q / (mc)

First, we need to convert the mass from grams to kilograms:

m = 53.2 g / 1000 g/kg = 0.0532 kg

Next, we can plug in the values for Q, m, and c and solve for ΔT:

ΔT = (2.87 x 10^3 J) / (0.0532 kg * 0.9 J/g°C) = approximately 63.7 °C

Finally, we can subtract the ΔT from the initial temperature to find the final temperature:

T_final = 155 °C - 63.7 °C = 91.3 °C

Ice charts (Image)

Need help figuring how this works.

Answers

The equilibrium concentrations of the gases are:

[H2] = 0.865 M, [CO2] = 0.865 M, [CO] = 1.135M ,[H2O] = 1.135 M.

What is the sum of molar concentration of reactants?

The sum of the molar concentrations of the reactants (H2 and CO2) is equal to the sum of the molar concentrations of the products (CO and H2O), as expected for a reaction at equilibrium.

The equilibrium concentrations of the four gases can be determined using the equilibrium constant expression and the initial concentrations of the reactants.

The equilibrium constant expression for the reaction is:

K_eq = [CO][H2O]/[H2][CO2]

where the concentrations are in units of M (molarity).

We are given that K_eq = 0.771 at 650 degrees Celsius.

We start by setting up an ICE table (Initial, Change, Equilibrium) to determine the equilibrium concentrations:

                 H2         CO         CO  H2O

Initial 2.00 2.00 0 0

Change    -x            -x       +x     +x

Equil. 2.00-x 2.00-x x x

where "x" is the change in concentration from the initial state to the equilibrium state, and we assume that the reaction proceeds to equilibrium.

Substituting the equilibrium concentrations into the equilibrium constant expression and solving for "x", we get:

K_eq = [CO][H2O]/[H2][CO2] = x^2 / (2.00 - x)^2 = 0.771

Solving for "x" using the quadratic formula, we get:

x = 1.135 M

Therefore, the equilibrium concentrations of the gases are:

[H2] = 0.865 M

[CO2] = 0.865 M

[CO] = 1.135 M

[H2O] = 1.135 M

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Why the density of a gold coin and a gold statue are same, even though the gold statue consists of the greater quantity of gold

Answers

Answer:

Explanation: Density is an intensive property of matter. This means that the value of density is independent of the quantity of matter present. It is measured by mass per unit volume. So, even though a gold statue may contain more mass or a larger quantity of gold than a gold coin, the density of both objects will remain the same, as they will have the same mass per unit volume.

One mole each of SO, and NO, were combined in a one-
liter container, and the following reaction was allowed to
come to equilibrium.
SO₂(g) + NO₂(g) = SO₂(g) + NO(g)
The equilibrium concentrations were found to be [SO₂] =
[NO₂] = 0.350 M and [SO,] = [NO] = 0.650 M. Calculate Kc
for the reaction.

Answers

Answer:  Kc = 0.5625

Explanation: The equilibrium constant, Kc, can be calculated using the equilibrium concentrations of the reactants and products: Kc = ([SO₂] * [NO]) / ([SO] * [NO₂]) Plugging in the given concentrations: Kc = (0.350 * 0.650) / (0.650 * 0.350) Kc = 0.5625

A student sets up two reactions. Reaction 1 uses 0.210 mol/L of reactant, and Reaction 2 uses 0.510 mol/L of
reactant. How many times faster is Reaction 2 compared to Reaction 1?



Answers

The relationship between rate and reactant concentration is given by the rate equation. Here reaction 2 is 2.4289 times faster than 1.

What is rate equation?

An equation which expresses the experimentally observed rate of a reaction in terms of the molar concentrations of the reactants that determine the rate of a reaction is called the rate equation.

Rate ∝ concentration

Rate = k [ concentration ]

Rate₁ / Rate₂ = k [conc]₁ / [conc]₂

= k × 0.210 / k × 0.510

= 0.4117

Rate₁ =  0.4117 × Rate₂

Rate₁ / 0.4117 = Rate₂

2.4289 × Rate₁ = Rate₂

Thus reaction 2 is 2.4289 times faster compared to reaction 1.

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Dr. MArcus analyzed items on his physics test by calculating the proportion of students who got each item correct. Dr. Marcus was examining -item difficulty
-the guessing threshold
-item discriminability
-the antimode Ch6
Choose matching definition
a. item discriminability
b. mental age
c. item discrimination
d. item difficulty

Answers

Item analysis involves analyzing the performance of test items by calculating statistics such as item difficulty, item discriminability, and item discrimination. This information can be used to improve the test items, identify flawed items, and evaluate the overall quality of the test.

a. item discriminability - This refers to the ability of an item on a test to discriminate between students who have high levels of knowledge or skill in the domain being tested and those who do not.

b. mental age - This is a measure of intellectual ability that compares a person's performance on an intelligence test with the performance of typical individuals at different ages.

c. item discrimination - This is another term for item discriminability, which refers to the ability of an item on a test to discriminate between high- and low-performing students.

d. item difficulty - This refers to the level of challenge posed by an item on a test, typically measured as the proportion of students who answer the item correctly.

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--The complete question is, Dr. Marcus analyzed items on his physics test by calculating the proportion of students who got each item correct. Dr. Marcus was examining,

a. item discriminability

b. mental age

c. item discrimination

d. item difficulty--

a. Derive planar density expressions for FCC(100) and (111) in terms of the atomic radius R.b. Compute and compare linear density values for these same two planes for aluminum.Consider the (100) plane inFCC in the figure below.How many atoms are centered on the [100] inFCC?

Answers

Derivate planar density expressions for FCC(100) and (111) is 1/4R² and 4R²√3, number of  atoms are centered on the [100] in FCC is 4.

Atoms can be arranged either closely or widely together. A periodic three-dimensional pattern of atoms is packed into crystalline solids like metals. Atoms are not subject to periodic packing in non-crystalline materials like silicon oxide. A unit cell is a crystal structure's fundamental building block. The packing density of crystals is measured by planar density.

For (100) plane one atom at each of  four cube corners

,each of which is shared with four adjecent unit cells.

Centre atom lies with in the unit cell.

Thus there is the equivalence of 2 atoms associated with this FCC(100) plane.

The plannar section in the above figure is square.

Where

The side lengths are equal to unit cell edge length = 2R√2

Area of the square =( 2R√2 )2

                            =8R2

a) So plannar density of (100) plane

PD (100)plane =(number of atoms centerd at (100) plane)  / (area of plane)

                    = (2) / 8R2

                    =1 / 4R2

∴Plannar density of  FCC(100) is 1 / 4R2.

b) There are 6 atoms whose centre lie on this plane .

Total  equivalence is 2 atoms associated with this FCC(111) plane at centered.

In above diagram

 (2R)2 + h2 = 4R2

which leads to h = 2R√3

Thus Area =4(R) (h) /2

                 =4(R) (2R√3) /2

                 =4R2√3

PD (111)plane =(number of atoms centerd at (111) plane)  / (area of plane)

                    =(2) / 4R2√3

                     =1/ (2R2√3)

∴Plannar density of  FCC(111) is 1/ (2R2√3).

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