1. A VP diagram is a convenient way to illustrate different thermodynamic paths, with the along the ?-axis and along the x-axis. Starting at a common (T1 P1) illustrate the direction of the following quasi-static processes for an ideal monatomic gas: (a) isothermal compression to half the original volume, (b) adiabatic compression to half the original volume, (c) isochoric heating to twice the original temperature, and (d) isobaric heating to twice the original temperature.