
a)
The final temperature of the helium
a)

Answer to Problem 175RP
The final temperature of the helium is
Explanation of Solution
Write the relation between the pressure and temperature in the isentropic process:
Here, temperature at state 2 is
Conclusion:
From the Table A-2, “Ideal-gas specific heats of various common gases table”, select the specific heat ratio
Substitute
b)
The final volume of nitrogen
b)

Answer to Problem 175RP
The final volume of nitrogen is
Explanation of Solution
Write the expression for calculating the initial volume of helium
Here, mass of the helium is
Write the expression for calculating the initial volume of helium
Here, mass of the helium is
Write the expression for the final volume of the nitrogen
Here, volume of the nitrogen at initial state 1 is
Conclusion:
From the Table A-2, “Ideal-gas specific heats of various common gases table”, select the gas constant for the helium gas as
Substitute
Substitute
Substitute
Thus, the final volume of nitrogen is
c)
The heat transferred to the nitrogen.
c)

Answer to Problem 175RP
The heat transferred to the nitrogen is
Explanation of Solution
Write the expression for calculating the mass of the nitrogen
Write the expression for calculating the temperature of the nitrogen
Write the formula for the change in internal energy of the nitrogen.
Here, specific heat capacity of nitrogen at constant volume is
Write the formula for the change in internal energy of the Helium.
Here, specific heat capacity of Helium at constant volume is
Write the formula for the energy balance equation for the system:
Conclusion:
From the Table A-2, “Ideal-gas specific heats of various common gases table”, select the gas constant for the helium gas and specific heat constant at constant volume for the helium gas as
From the Table A-2, “Ideal-gas specific heats of various common gases table”, select the gas constant for the Nitrogen gas and specific heat constant at constant volume for the helium gas as
Substitute
Substitute
Substitute
Substitute
Substitute
Thus, the heat transferred to the nitrogen is
d)
The entropy generation during the process
d)

Answer to Problem 175RP
The entropy generation during the process is
Explanation of Solution
Write the expression for the entropy generation for the isentropic process:
Here, specific heat capacity of nitrogen at constant pressure is
Conclusion:
Substitute 0.2185 kg for
Thus, the entropy generation during the process is
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Chapter 7 Solutions
Thermodynamics: An Engineering Approach
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