The variation of volume V, with temperature T, keeping pressure constant is called the coefficient of thermal expansion `(alpha)` of oa gas, i.e., `alpha=(1)/(V)=((deltaV)/(deltaT))_(P)`.
For an ideal gas `alpha` is equal to

Options

A. T
B. 1/T
C. P
D. 1/P

Answer

B

Explanation

For n moles of an ideal gas PV = nRT
or `V=(RT)/(P)`
Differentiating with respect to T at constant P, we have
`((delV)/(delT))_(P)=(nR)/(p)=(V)/(T)`
`alpha=(1)/(V)=((delV)/(delT))_(P)=(1)/(V)xx(V)/(T)=(1)/(T)`