Question

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. \(T^3\)
• C. \(T^1\)
• D. \(T^{-1}\)

Hint:

Fixed volume means pressure is proportional to T.

Answer 1

The Correct Option is C

Step 1: Understanding the Concept:
The force on the walls is the pressure times the area, \(F=PA\). For a closed container, the volume is fixed.

Step 2: Gas law:
At constant volume and amount of gas, \(P\propto T\) (Gay-Lussac law).

Step 3: Conclude:
\(F=PA\propto T^1\). Option (C).

Final Answer:
The force is proportional to T. \[ \boxed{F\propto T^1} \]