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How does temperature affect the density of gases?

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.


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