By using which equation can the force acting | vedclass

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

Vedclass · Accepted Answer

$P = \frac{1}{3} \rho v_{rms}^2$

Vedclass · Answer

(A) According to the kinetic theory of gases,the pressure $P$ exerted by an ideal gas on the walls of its container is given by the relation: $P = \frac{1}{3} \frac{N m}{V} v_{rms}^2$,where $N$ is the number of molecules,$m$ is the mass of each molecule,$V$ is the volume,and $v_{rms}$ is the root mean square speed. Since pressure is defined as force per unit area $(P = F/A)$,the force $F$ exerted on a wall of area $A$ is $F = P 	imes A$. Substituting the expression for pressure,we get $F = (\frac{1}{3} \frac{N m}{V} v_{rms}^2) 	imes A$. Thus,the force is derived from the fundamental kinetic theory pressure equation $P = \frac{1}{3} ho v_{rms}^2$.

By using which equation can the force acting on the walls of a container due to gas molecules be obtained?

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