Does the food cook easily in pressure cooker because the average kinetic energy if the particles of gas is directly proportional to the kelvin temperature of the gas?

Answer 1

Increasing the pressure the temperature also increase and cooking is faster.

In a normal, uncovered pot, the temperature of the liquid will increase until it reaches the boiling point, and then stabilize at that temperature. The reason that a pressure cooker can improve on cooking times is that the boiling point is a function of the ambient pressure. An uncovered pot at sea level will boil at a higher temperature than the same uncovered pot in Mexico City or Denver or any other high altitude city. A pressure cooker allows the temperature to go higher because the pressure of the vapor above the liquid is contained so the boiling temperature can go higher and thus the food inside is subject to is higher temperatures. As far as kinematic energy is concerned - yes - that will be true. Higher temperatures mean higher average kinematic energy for the molecules and it tends towards being proportional to the Kelvin temperature as long as you are still well below the critical temperature and pressure of the fluid.