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6 xx 10^(22) gas molecules each of mass ...

`6 xx 10^(22)` gas molecules each of mass `10^(-24) kg` are taken in a vessel of 10 litre. What is the pressure exerted by gas molecules? The root mean square speed of gas molecules is 100 m/s.

A

`10^(0) N//m^(2)`

B

`10^(16) N//m^(2)`

C

`10^(3) N//m^(2)`

D

`10^(4) N//m^(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
`v= 10^(4) m//s,m= 10^(-26), n= 10^(22), A= 1m^(2)`
`Delta p= 2mnv`
`Delta p= 2 xx 10^(22) xx 10^(-26) xx 10^(4)=2`
`P= (F)/(A)= 2 xx 10^(0) N//m^(2)`
So the order of exerted pressure is zero `(10^(0))`
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