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(B) The pressure $P$ exerted by an ideal gas on the wall of a container is defined as the force $F$ per unit area $A$,given by $P = F/A$. Since the ar

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$1$

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(B) The pressure $P$ exerted by an ideal gas on the wall of a container is defined as the force $F$ per unit area $A$,given by $P = F/A$. Since the area $A$ of the container wall is constant,we have $P \propto F$. From the ideal gas equation,$PV = nRT$,where $n$ is the number of moles,$R$ is the universal gas constant,$T$ is the temperature,and $V$ is the volume. For a closed container,the volume $V$ is constant. Thus,$P = (nR/V)T$,which implies $P \propto T$. Comparing the two relations,$F \propto P$ and $P \propto T$,we get $F \propto T^1$. Therefore,comparing this with $F \propto T^x$,we find that $x = 1$.

The average force applied on the wall of a closed container depends as $T^{x}$ where $T$ is the temperature of an ideal gas. The value of $x$ is

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