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)))