The function Eint = 3.50nRT describes the internal energy of a certain ideal gas. A sample comprising 2.00 mol of the gas always starts at pressure 100 kPa and temperature 300 K. For each one of the following processes, determine the final pressure, volume, and temperature; the change in internal energy of the gas; the energy added to the gas by heat; and the work done on the gas.
(a) The gas is heated at constant pressure to 400 K.
(b) The gas is heated at constant volume to 400 K.
(c) The gas is compressed at constant temperature to 120 kPa.
(d) The gas is compressed adiabatically to 120 kPa.