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Q.

A monoatomic gas is supplied the heat Q very slowly keeping the pressure constant. The work done bythe gas will be

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a

23Q

b

35Q

c

25Q

d

15Q

answer is C.

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Detailed Solution

ΔQ=ΔU+ΔW⇒ΔW=(ΔQ)p−(ΔU)V=(ΔQ)p1−(ΔU)V(ΔQ)p=(ΔQ)p1−CVCp=Q1−35=25Q(∵ (ΔQ)p=Q and γ=53 for monoatomic gas)
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A monoatomic gas is supplied the heat Q very slowly keeping the pressure constant. The work done bythe gas will be