An adiabatic compressor takes air $($ideal gas, $C_p=29\mathrm{.}3\frac{J}{m}$olK $)$ at $290K$ and $1$ bar and delivers air at $575K$ and $10$ bar. What is the entropy change for the air? How much work is required for the steady state compression? If compression from the initial state to $10$ bar were done in a totally reversible manner, what would be the final temperature of the compressed gas and how much work would be needed? $($ANS: $0\mathrm{.}91\frac{J}{m}$olK,$8350\frac{J}{m}ol,557K,7835\frac{J}{m}ol$