Final answer:
Yes, it is possible to change pressure and volume without changing the kinetic energy of an ideal gas by performing an isothermal process where the temperature and thus the kinetic energy of the gas remain constant.
Step-by-step explanation:
The question asks: Can we change P (pressure) and V (volume) without changing the kinetic energy of an ideal gas? The answer is yes it is possible to change the pressure and volume of an ideal gas without changing its kinetic energy. This can be achieved through an isothermal process where the temperature of the gas remains constant.
Since kinetic energy is directly related to temperature in the case of an ideal gas maintaining a constant temperature ensures that kinetic energy remains unchanged. However, altering pressure and volume without changing temperature requires the gas to exchange heat with its surroundings to compensate for the work done during the expansion or compression.