A gas is compressed at a constant pressure of 50N/m2 from a volume of 10m3 to a volume of 4m3. Heat of 100J is then added to the gas by heating. Its internal energy is
A
Decreased by 200 J
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B
Increased by 200 J
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C
Decreased by 400 J
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D
Increased by 400 J
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Solution
The correct option is D Increased by 400 J Given, Energy added to the system, ΔQ=+100J Pressure applied (P)=50N/m2 Change in volume, ΔV=V2−V1=4−10=−6m3 From first law of the thermodynamics ΔQ=ΔU+ΔW we can write that, ΔQ=ΔU+PΔV ⇒+100=ΔU+50×(−6) ⇒ΔU=400 J Hence , option 'D' is the correct answer.