A liquid whose coefficient of volume expansion is `gamma_(r)` Completely fills a sealed metal tank at negligible pressure the coefficient of linear expansion of the metal is alpha and the pressure of the liquid will be

Options

A. `gamma_(r) t/k`
B. `t/k(gamma_(r)-3alpha)`
C. `tk(gamma_r)-3alpha)`
D. `t/k(gamma_(r)-alpha)`

Answer

B

Explanation

`t/k = v(dp)/(dv)`
`dp=(dv)/vxx1/k=(gamma_(r)-3alpha)(dv)/v=(vgamma_(r)t-v3alphaz)/v`
`p=(gamma_(r)-3alpha)xxt/k`