Q136 / 150 · MHT CET 2026 (15 April Shift 1) · Physics
The average force applied on the walls of a closed container depends on temperature (T) as (T is the temperature of an ideal gas)
- A$T^2$
- B$T^3$
- Correct answerC$T^1$
- D$T^{-1}$
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., $P \propto T$.
The average force $F$ exerted by the gas on the walls of the container is given by $F = P \times A$, where $A$ is the surface area of the walls.
Since the container is closed and rigid, the area $A$ is constant.
Therefore, $F \propto P \propto T$.
The average force depends on temperature as $T^1$.
Answer: $T^1$
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., $P \propto T$.
The average force $F$ exerted by the gas on the walls of the container is given by $F = P \times A$, where $A$ is the surface area of the walls.
Since the container is closed and rigid, the area $A$ is constant.
Therefore, $F \propto P \propto T$.
The average force depends on temperature as $T^1$.
Answer: $T^1$
Hence, the correct answer is option: 'C'.