Question

For an ideal gas the fractional change in its volume per degree rise in temperature at constant pressure is equal to

Answer 1

Hello friend,

The coefficient of volume expansion-

The coefficient of volume expansion of a gas at constant pressure is defined as the fraction of its volume at 0°C by which the volume of a fixed mass of gas expands per degree Celsius rise in temperature.

It's given by formula

α = ΔV/VΔT (1)

But for ideal gas

ΔV = Δ(nRT/P)

ΔV = ΔT(nR/P)

Putting this in (1)

α = ΔT(nR/P)/VΔT

α = nR/PV

But PV = nRT

α = nR/nRT

α = 1/T

So for ideal gas, coefficient of volume expansion is 1/T.

Best luck....

Answer 2

Answer:

It's given by formula

α = ΔV/VΔT (1)

But for ideal gas

ΔV =(nRΔT/P)

Putting this in (1)

α = ΔT(nR/P)/VΔT

α = nR/PV

But PV = nRT

α = nR/nRT

α = 1/T

So for ideal gas, coefficient of volume expansion is 1/T.