Engineering College

Required information NOTE: This is a muitipart question. Once an answer is submitted, you will be unable fo retum to this part. A 327−m3 tank contains 100 kg of nitrogen at 175 K. The gas constant, the cracal pressure, and the critical temperature of nitrogen are R=0.2968kPamm3 kg K:M=28.013 kg/mol,Tcr=126.2 K and Pcr=3.39MPa. Use data from the steam tables: Determine the pressure in the tank using the Beatte-Bridgeman equation. Compare your results with the actual value of 1505 kPa The pressure is kPa The percentage error from ideal-gas equation is The percentage error from van der Waals equation is The percentage error from Beattie-Bridgeman equabon is

Answers

Answer 1

The percentage error from the ideal-gas equation is 34.34 %.

The percentage error from the van der Waals equation is 20.27 %.

The percentage error from the Beattie-Bridgeman equation is 34.34 %.

The given information is: Tank volume, V = 327 m³

Quantity of nitrogen in the tank, n = 100 kg

Temperature of nitrogen, T = 175 KPcr = 3.39 MPa

Tcr = 126.2 K

The gas constant of nitrogen, R = 0.2968 kPa m³/kg K

Basing on the Beattie-Bridgeman equation, the pressure (P) of the tank containing nitrogen can be determined as given below: `P= (R × T) / [V - b × n] - a × n² / (V² × T)`where `a` and `b` are constants given by: `a = 0.245( R × Tcr)² / Pcr``b = 0.0266(R × Tcr) / Pcr`

Substituting the given values in the above equations: `a = 0.245(0.2968 × 126.2)² / 3.39 = 0.1088 kPa m6 / kg²``b = 0.0266(0.2968 × 126.2) / 3.39 = 0.001 kPa m³ / kg

`Again substituting the values in the Beattie-Bridgeman equation:` P = (0.2968 × 175) / [327 - (0.001 × 100)] - (0.1088 × 100²) / (327² × 175)`P = 0.9892 MPa = 989.2 kPa.

The percentage error of the ideal-gas equation can be calculated as:` % error = [(Pactual - Pideal) / Pactual] × 100`where `Pactual` = 1505 kPa (given) and `Pideal` is the pressure value obtained using the ideal-gas equation. Substituting the values in the above equation:`% error = [(1505 - 989.2) / 1505] × 100 = 34.34 %.

`The percentage error of the van der Waals equation can be calculated as:`% error = [(Pactual - Pvander Waals) / Pactual] × 100`where `Pvander Waals` is the pressure value obtained using the van der Waals equation.

Substituting the given values in the equation:` Pvander Waals = [R × T / (V - b × n)] - a × n² / V²Pvander Waals = [0.2968 × 175 / (327 - 0.001 × 100)] - 0.1088 × 100² / 327² = 1198.9 kPa% error = [(1505 - 1198.9) / 1505] × 100 = 20.27 %

The percentage error of the Beattie-Bridgeman equation can be calculated as:`% error = [(Pactual - PBeattie-Bridgeman) / Pactual] × 100 `where `PBeattie-Bridgeman` is the pressure value obtained using the Beattie-Bridgeman equation. Substituting the given values in the equation:`PBeattie-Bridgeman = 989.2 kPa% error = [(1505 - 989.2) / 1505] × 100 = 34.34 %

Therefore, the pressure in the tank using the Beattie-Bridgeman equation is 989.2 kPa.

The percentage error from the ideal-gas equation is 34.34 %. The percentage error from the van der Waals equation is 20.27 %.The percentage error from the Beattie-Bridgeman equation is 34.34 %.

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Related Questions

You are required to design and develop a program to monitor and control the hydroponic system. The hydroponic system comprises many hardware, including but not limited to Fertigation and dosing, temperature, and humidity controller, timer and water pump.
The system should have the following features (USING C LANGUAGE)
Calculate the amount of water/nutrition to be dispensed based on the current crops conditions (crops health, pH level, humidity, temperature, light etc)
Keep a log of temperature, air and water condition.
Display relevant information such as water level, humidity, temperature and light intensity.
Schedule the duration and frequency of the watering and lighting cycle.
Adjust the air to control the crops' environment with desired humidity and temperature
Alert user when the measurement falls outside of the acceptable range (temperature or water is too low)

Answers

Design and develop a program in C language to monitor and control a hydroponic system. The program should calculate the amount of water/nutrition to be dispensed based on crop conditions, keep a log of temperature and air/water conditions, display relevant information, schedule watering and lighting cycles, adjust the air for desired humidity and temperature, and alert the user when measurements fall outside acceptable ranges.

To create a program for monitoring and controlling a hydroponic system, we can follow these steps:

1. Implement a module to calculate the amount of water/nutrition to be dispensed based on the current crop conditions. This module should consider factors such as crop health, pH level, humidity, temperature, and light intensity.

2. Develop a logging system to record temperature, air, and water conditions at regular intervals. This log will provide historical data for analysis and troubleshooting.

3. Create a user interface to display relevant information, including water level, humidity, temperature, and light intensity. This interface should provide real-time updates and a clear overview of the system's status.

4. Implement a scheduling feature that allows the user to set the duration and frequency of the watering and lighting cycles. This feature ensures that the hydroponic system operates according to the desired schedule.

5. Develop a module to adjust the air environment, including humidity and temperature, to maintain optimal conditions for crop growth. This module should have controls to regulate fans, heaters, and humidifiers/dehumidifiers.

6. Implement an alert mechanism that notifies the user when measurements fall outside the acceptable range. For example, if the temperature or water level is too low, the program should generate an alert to prompt corrective action.

By incorporating these features into the program, it will effectively monitor and control the hydroponic system, ensuring optimal growing conditions for the crops and facilitating efficient management of the system.

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