Task 3 A 3 m tank contains air at 15 C and 400 kPa is connected through a valve to another tank containing 5 kg of air at 40 C and 300 kPa. After 10 minutes, the valve is opened, and the whole system will reach thermal equilibrium with the surroundings (T= 25 C). Determine the volume of the second tank and the final pressure of air. Explain the relationships between system constants for a perfect gas. In addition, discuss under what conditions is the ideal-gas assumption suitable for real gases?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Task3

Project 1
You are an engineer that design and manufactures gas compressors, you manager asked you to
calculate the amount of heat and work transfer to the gas compressor, use the following tasks:
Task1
Using the following gases: hydrogen, carbon monoxide, carbon dioxide, and oxygen determine the
specific heats at constant volume and constant pressure maintained at different temperatures :20 °C,
25 °C, 30 °C, and 40 °C.
a. What is the effect of temperature on specific heat for different gases. You can present
your data in a table or graph since you have different gases and temperatures.
b. Calculate the gas constant for different gases maintained at different temperatures
and compare your results to the published data.
c. A fixed mass of an ideal gas is heated from 50 to 80 C at a constant pressure of (a)
1 atm and (b) 3 atm. For which case do you think the energy required will be greater?
Why?
d. A fixed mass of an ideal gas is heated from 50 to 80 C (a) at constant volume and
(b) at constant pressure. For which case do you think the energy required will be
greater? Why?
Task 2
A frictionless piston fitted inside a cylinder containing gas at a pressure of 200 kPa, volume of 1
liter and temperature of 25 ° C. Choose one gas from Task 1, the gas is to be compressed in the
system and the final volume is 0.5 liter. Work is done to move the piston and heat is transferred to
the cooling system around the cylinder. Illustrate the importance of expressions for work done
in thermodynamic processes by applying first principles while calculating the work done when the
expansion is ADIABATIC, ISOTHERMAL and POLYTROPIC for different n= (1.2, 1.3, 1.4, 1.8,
1.9). Discuss the effect of varying n on the calculated boundary work.
Task 3
A 3 m3 tank contains air at 15 C and 400 kPa is connected through a valve to another tank containing
5 kg of air at 40 C and 300 kPa. After 10 minutes, the valve is opened, and the whole system will
reach thermal equilibrium with the surroundings (T= 25 C). Determine the volume of the second
tank and the final pressure of air. Explain the relationships between system constants for a perfect
gas. In addition, discuss under what conditions is the ideal-gas assumption suitable for real gases?
Transcribed Image Text:Project 1 You are an engineer that design and manufactures gas compressors, you manager asked you to calculate the amount of heat and work transfer to the gas compressor, use the following tasks: Task1 Using the following gases: hydrogen, carbon monoxide, carbon dioxide, and oxygen determine the specific heats at constant volume and constant pressure maintained at different temperatures :20 °C, 25 °C, 30 °C, and 40 °C. a. What is the effect of temperature on specific heat for different gases. You can present your data in a table or graph since you have different gases and temperatures. b. Calculate the gas constant for different gases maintained at different temperatures and compare your results to the published data. c. A fixed mass of an ideal gas is heated from 50 to 80 C at a constant pressure of (a) 1 atm and (b) 3 atm. For which case do you think the energy required will be greater? Why? d. A fixed mass of an ideal gas is heated from 50 to 80 C (a) at constant volume and (b) at constant pressure. For which case do you think the energy required will be greater? Why? Task 2 A frictionless piston fitted inside a cylinder containing gas at a pressure of 200 kPa, volume of 1 liter and temperature of 25 ° C. Choose one gas from Task 1, the gas is to be compressed in the system and the final volume is 0.5 liter. Work is done to move the piston and heat is transferred to the cooling system around the cylinder. Illustrate the importance of expressions for work done in thermodynamic processes by applying first principles while calculating the work done when the expansion is ADIABATIC, ISOTHERMAL and POLYTROPIC for different n= (1.2, 1.3, 1.4, 1.8, 1.9). Discuss the effect of varying n on the calculated boundary work. Task 3 A 3 m3 tank contains air at 15 C and 400 kPa is connected through a valve to another tank containing 5 kg of air at 40 C and 300 kPa. After 10 minutes, the valve is opened, and the whole system will reach thermal equilibrium with the surroundings (T= 25 C). Determine the volume of the second tank and the final pressure of air. Explain the relationships between system constants for a perfect gas. In addition, discuss under what conditions is the ideal-gas assumption suitable for real gases?
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