Heat and Thermal ExpansionHard

Question

n moles of an ideal triatomic linear gas undergoes a process in which the  temperature changes with volume as T = k1V2 where k1 is a constant. Choose correct alternative (s).

Options

A.At  normal temperature C = R
B.At normal temperature molar Cp - Cv = R
C.At normal temperature molar heat capacity C = 3R
D.At any temperature molar heat capacity C = 3R

Solution

At normal temperature Cv = R = R ; At any temperature Cp - Cv = R = R from process T = k1V2 & ideal gas equation PV = nRT we have PV-1 = constant  ⇒ x = - 1
⇒ C = CV + At normal temperature C = = 3R.

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