Find the relatio between volume and temperature of a gas in a process, in which the molar heat capacity C varies with temperature T as `C=C_(V)+alphaT`. [`alpha` is a constant] .

For an ideal gas the equation of a process for which the heat capacity of the gas varies with temperatue as C=(alpha//T(alpha) is a constant) is given by

For an ideal gas the equation of a process for which the heat capacity of the gas varies with temperatue as C=(alpha//T(alpha) is a constant) is given by

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

Molar heat capacity of a gas at constant temperature and pressure is:

For the case of an ideal gas find the equation of the process (in the variables T, V ) in which the molar heat capacity varies as : (a) C = C_V + alpha T , (b) C = C_V + beta V , ( c) C = C_v + ap , where alpha, beta and a are constants.

Oxygen gas is made to undergo a process in which its molar heat capacity C depends on its absolute temperature T as C = alpha T . Work done by it when heated from an initial temperature T_(0) to a final temperature 2 T_(0) , will be

Oxygen gas is made to undergo a process in which its molar heat capacity C depends on its absolute temperature T as C = alpha T . Work done by it when heated from an initial temperature T_(0) to a final temperature 2 T_(0) , will be