If a monoatomic gas undergoes a thermodynamic proces for which its molar heat capacity is equal to the universal gas constant. What is the process in terms of `V` and `T` ?

Two moles of an ideal mono-atomic gas undergoes a thermodynamic process in which the molar heat capacity 'C' of the gas depends on absolute temperature as C=(RT)/(T_(0)) , where R is gas consant and T_(0) is the initial temperature of the gas. ( V_(0) is the initial of the gas). Then answer the following questions: The equation of process is

Two moles of an ideal mono-atomic gas undergoes a thermodynamic process in which the molar heat capacity 'C' of the gas depends on absolute temperature as C=(RT)/(T_(0)) , where R is gas consant and T_(0) is the initial temperature of the gas. ( V_(0) is the initial of the gas). Then answer the following questions: The equation of process is

One mole of a monoatomic ideal gas undergoes a thermodynamic process such that V^3/T^2 = constant. Then,

An ideal gas is made to undergo a termodynamic process given by V prop T^(2) , find the molar heat capacity of the gas for the above process.

A monoatomic ideal gas undergoes a process ABC . The heat given to the gas is

an ideal diatomic gas undergoes a polytropic process described by the equation P√V= constant . The molar heat capacity of the gas during this process is

The molar heat capacity of a gas in a process

A mono atomic ideal gas undergoes a process in which the ratio of P to V at any instant is constant and equal to 1. What is molar heat capacity of the gas.

The molar heat capacity for a gas at constant T and P is