The average force applied on the walls of a closed container depends on $\mathrm{T}^{\mathrm{x}}$ where…
The average force applied on the walls of a closed container depends on $\mathrm{T}^{\mathrm{x}}$ where $\mathrm{T}$ is the temperature of an ideal gas. The value of ' $x$ ' is
$4$
$3$
$2$
$1$
Solution
$\begin{aligned}
& P=\frac{F}{A} \\
\therefore \quad P & \propto F .... (i)
\end{aligned}$
From Ideal Gas Equation,
$\mathrm{P}=\frac{\mathrm{nRT}}{\mathrm{V}}$
When $\mathrm{V}$ remains constant,
$\mathrm{P} \propto \mathrm{T}.... (ii)$
Comparing (i) and (ii)
$\mathrm{F} \propto \mathrm{T}^{\mathrm{x}}$
$\therefore \quad x=1$