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Two mole of a diatomic ideal gas is taken through the process PT=constant. Its temperature is increased from $T_{0} K$ to $2 T_{0} K$ . Find work done by the system?
( R is gas constant)

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detailed solution

Correct option is D

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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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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Ready to Test Your Skills?

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Two mole of a diatomic ideal gas is taken through the process PT=constant. Its temperature is increased from $T_{0} K$ to $2 T_{0} K$ . Find work done by the system?
( R is gas constant)