Question

Using the ideal gas equation, show that at a given temperature density of a gas is proportional to the gas pressure.​

Answer 1

Answer:

Class 11

>>Chemistry

>>States of Matter

>>Ideal Gas Equation

>>Using the equation of state pV = nRT , s

Using the equation of state pV=nRT, show that, at a given temperature the density of a gas is proportional to its gas pressure p.

Medium

Solution

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PV=nRT=

M

w

RT

Hence, PM=

V

w

RT=ρRT

ρ∝P

Here, ρ=

V

w

n=

M

w

ρ is the density, P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, T is the temperature and M is the molar mass