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6xx10^(22) gas molecules each of mass 10...

`6xx10^(22)` gas molecules each of mass `10^(-24)` kg are taken in 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

`20Pa`

B

`2xx10^(4)Pa`

C

`2xx10^(5)Pa`

D

`2xx10^(7)Pa`

Text Solution

Verified by Experts

The correct Answer is:
2

`P=(1)/(3)(nmc^(2))/(V)`
`=(1)/(3)xx(6xx10^(22)xx10^(-24)xx(100)^(2))/(10xx10^(-3))=2xx10^(4)Pa`
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