MHT CET202615 April 2026Morning ShiftPhysicsKinetic Theory of GasesActual
The average force applied on the walls of a closed container depends on temperature (T) as (T is the temperature of an ideal gas)
Options
- AT^2
- BT^3
- CT^1
- DT⁻¹
Correct answer
C. T^1
Step-by-step solution
For an ideal gas in a closed container, the volume V and the number of moles n are constant. Using the ideal gas equation, PV = nRT . Since V , n , and R are constants, the pressure P is directly proportional to the absolute temperature T , i.e., P T . The average force F exerted by the gas on the walls of the container is given by F = P A , where A is the surface area of the walls. Since the container is closed and rigid, the area A is constant. Therefore, F P T . The average force depends on temperature as T^1 .