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Q.

The P-V diagram of 4 gm of helium gas for a certain process  A→B is shown in the figure. what is the heat given to the gas during the process   A→B

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a

4PoVo

b

6PoVo

c

4.5PoVo

d

2PoVo

answer is B.

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Detailed Solution

Change in internal energy from A→B  is ΔU=f2μRΔT=f2(PfVf−PiVi)=32(2P0×2V0−P0×V0)=92P0V0Work done in process  A→B is equal to the Area covered by the graph with volume axis i.e.,WA→B=12(P0+2P0)×(2V0−V0)=32P0V0Hence,  ΔQ=ΔU+ΔW  =92P0V0+32P0V0=6P0V0
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