Using the equation of state PV = nRT; show that at a given ...

NCERT Class XI Chemistry States of Matter Solutions

Question : 3 of 23

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Using the equation of state PV = nRT; show that at a given temperature density of a gas is proportional to gas pressure P.

Solution:

According to ideal gas equation for ‘n’ moles of a gas, PV = nRT
But , n =

Mass‌of‌the‌gas(m)

Molar‌mass(M)

or P =

nRT

or P =

mRT

[m/V = d density of the gas)]
∴ P =

dRT

or d =

or P α d

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