The average force applied on the walls of a c | vedclass

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(C) According to the kinetic theory of gases, the pressure $(P)$ exerted by an ideal gas on the walls of a container is given by the relation $P = \fr

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$T^1$

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(C) According to the kinetic theory of gases, the pressure $(P)$ exerted by an ideal gas on the walls of a container is given by the relation $P = \frac{1}{3} ho v_{rms}^2$, where $ho$ is the density and $v_{rms}$ is the root mean square velocity.Since $v_{rms} = \sqrt{\frac{3RT}{M}}$, we have $v_{rms}^2 = \frac{3RT}{M}$.Substituting this into the pressure equation, we get $P = \frac{1}{3} ho \left(\frac{3RT}{M}ight) = \frac{ho RT}{M}$.Since the density $ho$ and molar mass $M$ are constant for a fixed amount of gas in a closed container, the pressure $P$ is directly proportional to the temperature $T$ $(P \propto T)$.Force $(F)$ is defined as pressure multiplied by the area of the wall $(F = P 	imes A)$.Since the area of the container walls is constant, the force $F$ is also directly proportional to the pressure, and thus directly proportional to the temperature $(F \propto T^1)$.

The average force applied on the walls of a closed container depends on temperature $(T)$ as ($T$ is the temperature of an ideal gas).

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