The densities of wood and benzene at `0^(@)C` are `880 kg//m^(3)` and `900 kg//m^(3)` respectively. The coefficients of volume expansion are `1.2 xx 10^(-3)//'^(@)C` for wood and `1.5 xx 10^(-3)//'^(@)C` for benzene. At what temperature will a piece of wood just sink in benzene?

Explanation

At just sink gravitation force = upthrust force
`rArr mg = F_(B) rArr V rho_(1)g = V rho_(2)g rArr rho_(1) = rho_(2)`
`rArr (880)/(1+1.2 xx 10^(-3)theta) = (900)/(1+1/5 xx 10^(-3)theta) rArr theta = 83^(@)C`