Achamber containijng a gas was evacuated till the vacuum attained was `10^(-14)` m of Hg. If the temperature of the chamber was `30^(@)C,` the number of molecules that remains in it per cubic metre is

Options

A. `3.2xx10^(11)`
B. `3.2xx10^(12)`
C. `2.3xx10^(12)`
D. `2.3xx10^(10)`

Answer

A

Explanation

pV = nRT
`n=(pV)/(TR)or N=nxx6.02xx10^(23)=(pV)/(RT)xx6.02xx10^(23)`
or `N=((10^(-14)xx13.6xx10^(3)xx10)(1))/((8.31)(273+30))xx6.02xx10^(23)`
`" "=3.2xx10^(11)`