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Question

A gas expands against a constant external pressure of 2.00 atm, increasing its volume by 3.40 L. Simultaneously, the system absorbs 400 J of heat from its surroundings. What is ΔE, in joules, for this gas?

A
689
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B
289
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C
+400
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D
+289
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Solution

The correct option is B 289
Solution:- (B) 289J
As the heat is absorbed by the system, therefore,
q=+400J
Now as we know thta,
W=Pext.ΔV
Given:-
Pext.=2atm
ΔV=3.4L
W=2×3.4=6.8Latm=689J
Now, from first law of thermodynamics,
ΔE=q+W
ΔE=400+(689)=289J
Hence the value of ΔE for the gas is 289J.

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