Which sequence represents the relationship between pressure and volume of an ideal gas as explained by the kinetic-molecular theory?

A. more gas particles - more collisions - higher pressure

B. smaller volume - crowded particles - less collisions - lower pressure

C. smaller volume - crowded particles - more collisions - higher pressure

D. more gas particles - more kinetic energy - more volume - higher pressure.

Answer: C

The correct option is: C. smaller volume - crowded particles - more collisions - higher pressure

Explanation:

According to the kinetic theory of gases, P. V = (2/3). K

Here, P - pressure of the gas

V-volume of the gas

K - Kinetic energy of the gas

At constant temperature and kinetic energy, P. V = constant

⇒ P ∝ 1 / V

So, according to this equation, pressure and volume of the gas are inversely proportional.

Therefore, when the volume of the gas is reduced or the gas is compressed at constant temperature, the gas molecules come closer to each other and get more crowded, which causes more collisions. Thus, increasing the pressure of the gas.

Thus, when the volume of the gas is reduced, the pressure of the gas increases.