Answer:
The density of most gases is inversely proportional to temperature.
For ideal gases, the equation of state is given as
Pv = RT
where,
P = Pressure
v = Specific volume (m^3/Kg)
R = Gas constant (kJ/Kg.K)
T = Temperature (K)
The above equation can be written in terms of density as specific volume is reciprocal of density.
P = ρRT
where,
ρ = density (Kg/m^3)
From the above equation,
ρ ∝ 1/T
Density is inversely proportional to the temperature of ideal gases.