The loss of weight of a solid when immersed in a liquid at `0^(0)C` is `DeltaW_(0)`. If `alpha` and `beta` are the volume coefficients of expansion of the solid and the liquid respectively, then the loss of weight at `t^(@)C` is approxumately

Explanation

Loss of weight at `0^(@)C = V_(0)rho_(0)g = DeltaW_(0)`
`V_(0) =` volume of body at `0^(@)C`
`V_(1) =` volume of body at `t_(1)^(@)C`
Low of weight at `t_(1)^(@)C = V_(1)rho_(1)g = DeltaW_(1)`
`(DeltaW_(1))/(DeltaW_(0)) = (V_(1)rho_(1)g)/(V_(0)rho_(0)g) = (d_(0))/(d_(1)) xx (rho_(1))/(rho_(0))` where `d_(0)` is density of solid at `0^(0)C` and `rho_(0)` is density of liquid at `0^(0)C`
`(DeltaW_(1))/(DeltaW_(0)) = (d_(1)(1 + alphat))/(d_(1)) (rho_(1))/((1 + betat)rho_(1)) = (1 + alphat)/(1 + betat)`
`DeltaW_(1) = Delta_(0)(1 + alphat)(1 - betat) = DeltaW_(0)[1 + (alpha - beta)t]`