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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//(kTV)`

B

` mkT `

C

` P//(kT)`

D

`Pm//kT`

Text Solution

Verified by Experts

The correct Answer is:
D
` (P)/(rho ) = (RT)/(M_w) ` ( Ideal gas equations)
` rArr rho = (PM_w)/(RT) = (P xx (mN_A))/(kN_AT) = (Pm)/(kT)`
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