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Q.

Two mole of a diatomic ideal gas is taken through the process PT=constant. Its temperature is increased from T0K to 2T0K . Find work done by the system?( R is gas constant)

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a

6RT0

b

112RT0

c

92RT0

d

4RT0

answer is D.

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Detailed Solution

PT=const⇒P.PVnR=const⇒PV12=constIt is a polytropic process with n=1/2Hence C=Cv+R1−12=52R+2R=4.5RΔQ=nCΔT=2×4.5R×T0=9RT0ΔU=nCvΔT=2×2.5R×T0=5RT0ΔQ=ΔW+ΔU⇒ΔW=ΔQ−ΔU=4RT0
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