In an ideal gas at temperature T, the average force that a molecule applies on the walls of a closed container depends on T a s T q . A good estimate for q is:

Step-by-step solution

Average linear velocity for collision to occur t = 2 d u Change in momentum in 1 collision Δ p = 2 m u ∴ average force in collision = Δ p t ( u = root mean square speed) = 2 m u 2 d × u ⇒ F ∝ u 2 ∴ u 2 ∝ T ⇒ F ∝ T ⇒ q = 1