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A fiven sample of an ideal gas occupise ...

A fiven sample of an ideal gas occupise a volume V at a pressure p and sbsoulte temperature T.The mass of each molecule of the gas is m. Which of the following fives the dinsity of the gas ?

A

`P//(kT)`

B

`Pm//(kT)`

C

`P//(kTV)`

D

`mkT`

Text Solution

Verified by Experts

The correct Answer is:
B
As `PV=nRT`
or `n=(PV)/(RT)=("mass")/("molar mass")" "...(i)`
Density `(rho)=("mass")/("volume")=(("molar mass")P)/(RT)=((mN_(A))P)/(RT)` [from eqn. (i)]
`rho(mP)/(kT)(because R=N_(A)k)`
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