At constant pressure, the temperature coefficient of volume expansion of an ideal gas is `delta = 1/V (dV)/(dT)`. What will be the nature of the graph relating `delta` with the temperature T?

Explanation

For 1 mol of an ideal gas,
`pV = RT or, V = (RT)/p`
So at constant pressure,
`(dV)/(dT) = R/p`
`:. Delta = 1/V (dV)/(dT) = 1/V R/p = R(pV)`
`= R/RT = 1/T`
or, `delta T = "constant"`
This equation is represented by a rectangular hyperbola on the `delta - T` graph (fig.)