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An ideal gas undergoes a process in which co-efficient of volume expansion of gas $γ$ ,varies with absolute temperature by the relation $γ = \frac{2}{T}$ .Let C is the molar heat capacity in this process and ,C_PC_Vare molar heat capacity at constant pressure and volume respectively. Then

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CP=3Cv+2R

CP=2Cv+R

CP=Cv+2R

CP=Cv−R

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detailed solution

Correct option is C

dVVdT=2T and C=Cv+PndVdT

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An ideal gas undergoes a process in which co-efficient of volume expansion of gas γ,varies with absolute temperature by the relation γ=2T.Let C is the molar heat capacity in this process and ,CPCV are molar heat capacity at constant pressure and volume respectively. Then

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Ready to Test Your Skills?

free study material

An ideal gas undergoes a process in which co-efficient of volume expansion of gas $γ$ ,varies with absolute temperature by the relation $γ = \frac{2}{T}$ .Let C is the molar heat capacity in this process and ,C_PC_Vare molar heat capacity at constant pressure and volume respectively. Then