# A given sample of an ideal gas occupies a volume V at a pressure P and absolute temperature T. The mass of each molecule of the gas is m. Which of the following gives the density of the gas? Option 1) Option 2) Option 3) Option 4) mkT

Ideal gas equation -

$PV = nRT$

- wherein

T= Temprature

P= pressure of ideal gas

V= volume

n= numbers of mole

R = universal gas constant

From equation of ideal gas

PM = $\rho$RT

Or pm =  $\rho$KT -(1)

m = mass of a molecule.

$\rho$ = density of gas.

K = Boltzmann's constant

=>  $\rho$ = $\rho \frac{pm}{kt}$

Option 1)

this is the incorrect option

Option 2)

this is the correct option

Option 3)

this is the incorrect option

Option 4)

mkT

this is the incorrect option

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