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Q.

If 1.5 L of an ideal gas at a pressure of 20 atm expands isothermally and reversibly to a final volume of 15 L. The work done by the gas in L atm is 

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a

–34.55 

b

34.55 

c

69.08 

d

–69.09

answer is D.

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Detailed Solution

Thermodynamic terms

In an isothermal reversible process, the work done is

w=-2.303nRTlogVxV1

And we know, PV=nRT

Here it is given that pressure, P=20 atm

And volume, V or V1=1.5L,V2=15.

w=-2.303PVlogV2V1 w=-2.303×20×1.5log1.51.5=69.09Latm

Hence, w=-69.09 L atm

Therefore, option (D) is correct.

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