A non-conductiong body floats in a liquid at `25^(@)C` with `1//3` of its volume immersed in the liquid. When liquid temperature is increased to `105^(@)C,` `1//2` of body's volume is immersed is the liquid. Then, find the coefficient of real expansion of the liqquid (neglecting the expansion of container of the liquid) .

Explanation

Coefficient of real expansion,
`gamma_(R)=(V_(2)-V_(1))/(V_(1)(t_(2)-t_(1)))`
`Here," " V_(2)=(1)/(2),V1=(1)/(3) `
`and" " (t_(2)-t_(1))=(105-25)=80^(@)C`
`therfore` Putting these values, in Eq. (i) we get
`gamma_(R)(((1)/(2)=(1)/(3)))/(1//3(80))=(1)/(160)`
`=62.5 xx 10^(-4)"^(@)C^(-1)`