Problem 20.66 A gas is inside a cylinder fitted with a piston. The gas and its s

Question

Problem 20.66 A gas is inside a cylinder fitted with a piston. The gas and its surroundings are both at 20 ?C and the gas is compressed as the piston moves and decreases the cylinder volume. The compression takes place slowly enough to allow the gas temperature to stay at 20 ?C and the work done on the gas by the compression is 1.8 × 10^3 J.

Part A

What is the change in entropy of the gas?

2016-17 Q3 PHYS123 ework 8 Problem 20.66 Problem 20.66 A gas is inside a cylinder fitted with a piston. The gas and its surroundings are both at 20°C and the gas is compressed as the piston moves and decreases the cylinder volume. The compression takes place slowly enough to allow the gas temperature to stay at 20 C and the work done on the gas by the compression is 1.8 x 10s J. session.masteringphysics.com Part A What is the change in entropy of the gas? AS 1 Submit My Answers Give Up Incorrect; Try Again: 4 attempts remaining Resources previous l 10 of 11 l next a Provide Feedback Continue

Explanation / Answer

Solution:

As temp does not change hence change in internal energy will be zero.

and from 1st law of thermodynamics,

Q = - 1.8 x 10^3 J (heat leaves the system)

change in entropy = Q / T

= - 1.8 x 10^3 J / (273 + 20) K

= - 6.14 J/K

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