An ideal gas is taken through a Carnot cycle. The isothermal expansion occurs at 280°C, and the isothermal compression takes place at 50.0°C. The gas takes in 1.28 x 103 J of energy from the hot reservoir during the isothermal expansion. (a) Find the energy expelled to the cold reservoir in each cycle. (b) Find the net work done by the gas in each cycle.

Consider the following thermodynamic cycle for an ideal gas: From A to B the gas is compressed adiabatically. From B to C heat Qh is added to the gas and the gas is kept at constant volume. From C to D the gas expands adiabatically. From D to A the gas ejects heat Q₁ to the environment and is kept at constant volume. (1) Draw the PV-diagram associated to this cycle. (2) Show that the efficiency of an engine running this cycle is given by e = 1 - (3) Calculate the efficiency for a compression ratio VA/VB = 8 assuming a diatomic gas. [Hint: for a diatomic gas Cv = (5/2)R.]

An ideal gas is taken through a Carnot cycle. The isothermal expansion occurs at 230°C, and the isothermal compression takes place at 50.0°C. The gas takes in 1.22 x 103 J of energy from the hot reservoir during the isothermal expansion. (a) Find the energy expelled to the cold reservoir in each cycle. (b) Find the net work done by the gas in each cycle.

A particular heat engine has a mechanical power output of 5.20 kW and an efficiency of 26.0%. The engine expels 7.40 x 103 J of exhaust energy in each cycle. (a) Find the energy taken in during each cycle. kJ (b) Find the time interval for each cycle. S