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 ?

Options

A. P/(kT)
B. Pm/(kT)
C. P/(kTV)
D. mkT

Answer

B

Explanation

`PV=nRT`
`(n)/(V)=(P)/(RT)`
`(n)/(V)=(P)/(kN_(A)T)" "(k=(R)/(N_(A)))`
`(nN_(A))/(V)=(P)/(kT)`
`(mnN_(A))/(V)=(mP)/(kT)`
`rho=(mP)/(kT)`