Question

on the basis of kinetic theory derive the equetion of pressure of a gas.​

Answer 1

Hint: We will start the solution by considering the gas in a closed cube of length l units and focus on only one particle in it. After that we will find its velocity and force exerted on it by any of the faces of the cube. By using the formula of root mean square velocity and pressure we will get the required value of the pressure.

Formula used:

f2=u2+v2+w2,

P=mv where P is momentum, m is mass and v is velocity of the particle,

ΔP=P2−P1,

Time=DistanceSpeed,

Force=mass × velocity2Total Distance Covered,

F=mv12l+mv22l+..+mvn2l,

pressure=ForceArea,

vaverage=v12+v22+...+vn2n−−−−−−−−−−−−−−−−√

J=mn,

ρ=JV where J is total mass and V is total volume, ρ is density of gas.

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