A Carnot engine operates between temperatures $T_1 = 500\text{ K}$ and $T_2 = 300\text{ K}$. Calculate its efficiency $\eta$ and work done per cycle if heat absorbed from hot reservoir is $1000\text{ J}$.
2.
One mole of a ideal gas with $\gamma = 1.4$ expands adiabatically from pressure $P_1 = 4\text{ atm}$ and volume $V_1 = 1\text{ L}$ to volume $V_2 = 32\text{ L}$. Find final pressure $P_2$.
