The volume of a gas at `20^(@)C` is 100 cm 3 at normal pressure. If it is heated to `100^(@)C` , its volume becomes 125 cm 3 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+gammat_(1))/(1+gammat_(2)) rArr(100)/(125)=(1+gammaxx20)/(1+gammaxx100)`
`rArr gamma=0.0033//^(@)C`