A flask contains 100 c.c of a liquid at `10^(@)C`. When it is heated to `110^(@)C` increase in volume of the liquid appears to be 2 c.c. Find the coefficient of real expansion of the liquid.
(`alpha` of flask is `11xx10^(-6)//""^(@)C`).

Explanation

Coefficient of apparent expansion
`gamma_(a)=(v_(2)-v_(1))/(v_(1)(t_(2)-t_(1)))=2/(100(110-10))=2xx10^(-4)//""^(@)C`
Coefficient of cubical expansion of the flask `(gamma)=3alpha`
= `3xx11xx10^(-6)=33xx10^(-6)//""^(@)C`
Coefficient of real expansion of the liquid, `gamma_(R)=gamma_(a)=gamma`
= `2xx10^(-4)+33xx10^(-6)=2xx10^(-4)+0.33+10^(-4)`
`thereforegamma_(R)=2.33xx10^(-4)//""^(@)C`