Question

If the mass of all the molecules is reduced to half of a gasBe given and what is their movement in double initial and final pressure.What will be the ratio?`​

Answer 1

Here is your answer

Consider a box of length ′l′

A molecule bounces elastically of the wall and to the other side and back.

Time it takes to come back is t=v2l

Force because of change in momentum when it hits the wall tΔp=t2mv=lmv2

Pressure is force per area, but we see that the pressure is directly proportional to mass and directly proportional to square of velocity.

Hence if mass is halved and velocity doubled the pressure changes by 21×2×2=2 times,

Hence pressure doubles.

Ratio is 1:2

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