For an ideal gas, coefficient of volume expansion is given by

Question

For an ideal gas, coefficient of volume expansion is given by (A) (n R Δ T/p) (B) (Δ T/T) (C) (R Δ T/T) (D) (1/T)

Tardigrade Admin · Accepted Answer

For an ideal gas, the coefficient of volume expansion at constant pressure can be found from the ideal gas equation,

p V = μ RT

...(i)
At constant pressure,

p Δ V = μ R Δ T

...(ii)
Divide Eq. (ii) by Eq. (i), we get

\frac{Δ V}{V} = \frac{Δ T}{T}

Also,

\frac{Δ V}{V} = α_{V} Δ T

i.e.

α_{V} = \frac{1}{T}

, for ideal gas
So, for an ideal gas, coefficient of volume expansion is given by

\frac{1}{T}

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Q. For an ideal gas, coefficient of volume expansion is given by