At constant pressure if the volume of a fixed mass of gas at temperature `80^@C` is `500cm^3` and that at `150^@C` is `600cm^3`, what is the coefficient of volume expansion `(gamma_p)` of the gas?

Explanation

we have `V_t=V_0(1+gamma+pt)`
Using the given conditions we get,
`500=V_0(1+gamma_ptimes80)`
and `600=V_0(1+gamma_ptimes150)`
Dividing (2) by (1) we get
`6/5=(1+150gamma_p)/(1+80gamma_p)or,6+480gamma_p=5+750gamma_p`
or,`270gamma_p=1or,gamma_p=1/270^@C^-1`