Question

The average force applied on the walls of a closed container depends as T^X where T is the temperature of an ideal gas. The value of x is ______.

Options

• 1

• 2

• 3

• 4

Answer 1

The average force applied on the walls of a closed container depends as T^X where T is the temperature of an ideal gas. The value of x is 1.

Explanation:

P = \[\frac {F}{A}\]

\[\therefore\] P ∝ F   ...(i)

From ideal gas equation,

P = \[\frac {nRT}{V}\]

When V remains constant,

P ∝ T   ...(ii)

From (i) and (ii)

F ∝ T^x

\[\therefore\] x = 1