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Answer: A 10.0-L gas tank containing 3.20 moles of ideal
Chapter 20, Problem 31E(choose chapter or problem)
Problem 31E
A 10.0-L gas tank containing 3.20 moles of ideal He gas at 20.0°C is placed inside, completely evacuated, insulated bell jar of volume 35.0 L. A small hole in the tank allows the He to leak out into the jar until the gas reaches a final equilibrium state with no more leakage. (a) What is the change in entropy of this system due to the leaking of the gas? (b) Is the process reversible or irreversible How do you know?
Questions & Answers
QUESTION:
Problem 31E
A 10.0-L gas tank containing 3.20 moles of ideal He gas at 20.0°C is placed inside, completely evacuated, insulated bell jar of volume 35.0 L. A small hole in the tank allows the He to leak out into the jar until the gas reaches a final equilibrium state with no more leakage. (a) What is the change in entropy of this system due to the leaking of the gas? (b) Is the process reversible or irreversible How do you know?
ANSWER:Solution 31E
Step 1:
The differential entropy element we can write as a function of temperature and volume.
By the use of maxwell’s relation we can write it as,