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If 10^(20) oxygen molecules per second s...

If `10^(20)` oxygen molecules per second strike `4cm^(2)` of wall at an angle of `30^(@)` with the normal when moving at a speed of `2xx10^(3)ms^(-1)`, find the pressure exerted on the wall. (mass of `1O_(2)` atom = `2.67xx10^(-26)kg`)

Text Solution

Verified by Experts

Mass of `O_(2)" atom "=16xx "mass of 1 atom"`
`=16xx10^(20)xx2.67xx10^(-26),m=42.72xx10^(-6)kg`
Momentum of the `O _(2) ` molecule (P) =`mnu=42.72xx10^(-6)xx2xx10^(-3)`
`P=85.44xx10^(-3)kg ms^(-1)`
Momentum normal to the wall at angle `30^(@)`
`=85.44xx10^(-3)xxcos30^(@)=73.99104xx10^(-3)kgms^(-1)`
`"Pressure"=F/A="Change in momentum"/("Area)=(73.99104xx10^(-3))/((4xx10^(-2))^(2))`
`(73.99104xx10^(-3)xx10^(4))/16=4.62333xx10`
`P=46.2Nm^(-2)`
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