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(D) The pressure $P$ exerted by a gas on the walls of a container is defined as the force $F$ per unit area $A$,given by $P = \frac{F}{A}$.Since the a

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$1$

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(D) The pressure $P$ exerted by a gas on the walls of a container is defined as the force $F$ per unit area $A$,given by $P = \frac{F}{A}$.Since the area $A$ of the container is constant,the force $F$ is directly proportional to the pressure $P$,i.e.,$F \propto P$.From the ideal gas equation,$PV = nRT$,we can write $P = \frac{nRT}{V}$.For a closed container,the volume $V$ is constant. Therefore,$P \propto T$.Substituting this into the proportionality for force,we get $F \propto T$.Comparing this with the given expression $F \propto T^{x}$,we find that $x = 1$.

The average force applied on the walls of a closed container depends on $T^{x}$ where $T$ is the temperature of an ideal gas. The value of '$x$' is

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