The volume of a gas at `20^(@)C` is 100 cm at normal pressure. If it is heated to `100^(@)C` , its volume becomes 125 cm at the same pressure, then volume coefficient of the gas at normal pressure is

Options

A. `0.0015//""^@C`
B. `0.0045//""^(@)C`
C. `0.0025//""^@ C`
D. `0.0033//""^@C`

Answer

D

Explanation

`(V_1)/(V_2) = (1 + gamma Delta t_1)/(1 + gamma Delta t_2) = (100)/(125) = (1 + gamma xx 20)/(1 + gamma xx 100)`
`rArr gamma = 0.0033//""^(@)C`.