Give a simple explanation why the pressure changes by this factor. word bank: 1. two2.greater3.smaller4.four5.eightd oubling the speed of the molecules means that they will hit the walls of the as often.
further, since the molecules bounce off the walls at twice the speed, their momentum change as great.
this means that the average force imparted to the wall on each collision .
taken together, these two factors will lead to a factor increase of the pressure.

Answer

speed of the molecules

s₁ = v t

when velocity is doubled

s₂ = (2 v)t

   = 2 s₁

they will hit the wall of container two times as often.

the momentum of molecule

p₁ = mvr

p₂ = m(2v)r = 2(mvr)

    = 2 p₁

the momentum change is two times as great.

force is change in momentum

Δp = F(Δt)

mv-(-mv) = 2 mv

F α v

therefore average force impart to the wall on each collision is two times

p α v²

here the velocity is doubled it means pressure becomes four times.

the answer is a)

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