One mole of a monatomic ideal gas ( Cv = 3/2R ) has an initial pressure, volume, and temperature of P0, V0, and 400 K, respectively. It undergoes an isothermal expansion that triples the volume of the gas. Then, the gas undergoes an isobaric compression back to its original volume. Finally, the gas undergoes an isochoric increase in pressure, so that the final pressure, volume, and temperature are P0, V0, and 400 K, respectively. a) calculate delta U, W, and Q ( including the algebraic signs ) for each of the three steps and the whole cycle. Show step by step.b) how much heat enters the gas and how much leaves the gas each cycle? Please show step by step with formulas used. Thank u