Using the following data, find the change in temperature at which wood will just sink in benzene. Density of benzene at `0^(@)C=9xx10^(2)kgm^(-3)`, Density of wood at `0^(@)C=8.8xx10^(2)kgm^(-3)`, Cubical expansivity of benzene `=1.2xx10^(-3)K^(-1)` Cubical expansivity of wood `=1.5xx10^(-4)K^(-1)`

Using the following data, find the change in temperature at which wood

1.	Using the following data, find the change in temperature at which wood will just sink in benzene. Density of benzene at `0^(@)C=9xx10^(2)kgm^(-3)`, Density of wood at `0^(@)C=8.8xx10^(2)kgm^(-3)`, Cubical expansivity of benzene `=1.2xx10^(-3)K^(-1)` Cubical expansivity of wood `=1.5xx10^(-4)K^(-1)`
Answer» Let the subscript `1` and `2` denotes benzene and wood, respectively. `:. (rho_(1))/(1+gamma_(1)DeltaT)=(rho_(2))/(1+gamma_(2)DeltaT)` or `rho_(1)+rho_(1)gamma_(2)DeltaT=rho_(2)+rho_(2)gamma_(1)DeltaT` or `DeltaT=(rho_(1)-rho_(2))/(rho_(2)gamma_(1)-rho_(1)gamma_(2))` Here, `rho_(1)=900kgm^(3)`, `rho_(2)=880kg//m^(3)` , `gamma_(1)=1.2xx10^(-3)K^(-1)` , `gamma_(2)=1.5xx10^(-4)K^(-1)` `:. DeltaT=21.7^(@)C`