One mole of an ideal gas with heat capacity at constant pressure `C_p` undergoes the process `T = T_0 + alpha V`, where `T_0` and `alpha` are constants. Find :
(a) heat capacity of the gas as a function of its volume ,
(b) the amount of heat transferred to the gas, if its volume increased from `V_1` to `V_2`.

One mole an ideal gas whose adiabatic exponent equals gamma undergoes a process p = p_0 + alpha//V , where p_0 and alpha are positive constants. Find : (a) heat capacity of the gas as a function of its volume , (b) the internal energy of heat transferred to the gas, of its volume increased from V_1 to V_2 .

One mole of an ideal monoatomic gas undergoes the process T=T_(0)+4V , where T_(0) is initial temperature. Find (i) Heat capacity of gas as function of its volume. (ii) The amount of heat transferred to gas if its volume increases from V_(0) to 4V_(0) .

One mole of an ideal monoatomic gas undergoes the process T=T_(0)+4V , where T_(0) is initial temperature. Find (i) Heat capacity of gas as function of its volume. (ii) The amount of heat transferred to gas if its volume increases from V_(0) to 4V_(0) .

An ideal gas with heat capacity at constant volume C_(V) undergoes a quasistatic process described by P V^(alpha) in a P-V diagram, where alpha is a constant. The heat capacity of the gas during this process is given by-

One mole of an ideal gas with heat capacity at constant pressure C_(P) undergoes the process T=T_(0)+alpha V where T_(0) and a are constants.If its volume increases from V_(1)toV_(2) the amount of heat transferred to the gas is C_(P)RT_(0)ln((V_(2))/(V_(1))) O alpha C_(P)((V_(2)-V_(1)))/(RT_(0))ln((V_(2))/(V_(1))) qquad alpha C_(P)(V_(2)-V_(1))+RT_(0)ln((V_(2))/(V_(1)))

One mole of an ideal gas with heat capacity at constant pressure C_(P) undergoes the process T=T_(0)+alpha V where T_(0) and a are constants.If its volume increases from V_(1)toV_(2) the amount of heat transferred to the gas is C_(P)RT_(0)ln((V_(2))/(V_(1))) alpha C_(P)((V_(2)-V_(1)))/(RT_(0))ln((V_(2))/(V_(1))) alpha C_(P)(V_(2)-V_(1))+RT_(0)ln((V_(2))/(V_(1)))

The molar heat capacity of a perfect gas at constant volume is C_v . The gas is subjected to a process T =T_0e^(AV) , Where T_0 and A are constant. Calculate the molar heat capacity of the gas a function of its volume