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The mass of a hydrogen molecule is 3.32 ...

The mass of a hydrogen molecule is `3.32 times 10^-27 kg`. `10^23` such molecules hit every second on a rigid wall of area `2 cm^2` at an angle of `45^@` with horizontal with a velocity of `10^3m.s^-1`. If the molecules are reflected will the same velocity,then what is the pressure exerted on the wall?

Text Solution

Verified by Experts

Suppose the molecules are incident along PO and reflected along OQ [Fig.1.6]
Here, `anglePON=angleNOQ=45^@`,
Change of momentum normal to the wall for each hydrogen molecule =`2mv cos 45^@`
`therefore` Net charge of momentum in a second
=exerted force =n.2mv cos `45^@`
(where n=number of molecules)
`therefore` Pressure exerted on the wall
`(force)/(wall)=(n.2mvcos45^@)/(area)`
`(10^23times2times(3.32times10^-27)times10^3times1/sqrt2)/(2times10^-4)`
`=2.35 times 10^3 N.m^-2`
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