Question

Which expression can be used to calculate the density of an ideal gas?

PM + RT
mRT + PV
mRT ÷ PV
PM ÷ RT

Answer 1

Correct answer is PM ÷ RT

Step-by-step explanation:

Ideal gas equation,
`$PV=nRT$\\`.........(1)

Where,

P = Pressure of the gas

V = Volume occupied by the gas

n = Number of moles of gas =
`$=(Mass)/(Molecular mass)$`

R = Universal gas content

T= Temperature

`$\therefore PV=(m)/(M) RT$</p><p>[tex]$P=(m)/(V) (RT)/(M)$`

`$\Rightarrow P=d(RT)/(M)$`
`($\because Density, d=(m)/(V)$)`

`$\therefore d=(PM)/(RT)$`