Chemical Thermodynamics Question 35

Question: The volume of a gas decreases from 500,cc to 300,cc when a sample of gas is compressed by an average pressure of 0.6 atm. During this process 10 J of heat is liberated. The change in internal energy is [Pb. PMT 2000]

Options:

A) - 2.16 J

B) 12.156 J

C) 2.16 J

D) 101.3 J

Show Answer

Answer:

Correct Answer: C

Solution:

Here: Change in Volume (V)=500300=200cc=0.2,litre,

Pressure (P)=0.6,atm and heat liberated (q) = 10J Work done (W)=PΔV=(0.2×0.6)=0.12,litreatm

But 1,litreatm=101.3,J . hence W=0.12×101.3=12.156,J .

We also know that heat is liberated, therefore it would be negative. Thus change in ΔE=q+W=10+12.16=2.16,J .



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