A process consists of two steps: (1) One mole of air at T = 800 K and 4 bar is cooled at constant volume to T = 350 K. (2) The air is then heated at constant pressure until its temperature reaches 800 K. If this two-step process is replaced by a single isothermal expansion of the air from 800 K and 4 bar to some final pressure P, what is the value of P that make the work of the two processes the same? Assume mechanical reversibility and treat air as an ideal gas with Cp = (7/2)R and Cy = (5/2) R.