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Using the following data, calculate at w...

Using the following data, calculate at what temperature will the wood just sink in benzene
Density of wood at `0^(@)`C = `8.8 xx 10^(2)kg//m^(3)`
Density of benzene at `0^(@)`C = `9 xx 10^(-4)K^(-1)`
Cubical expansivity of wood = `1.5 xx 10^(-4)K^(-1)`
Cubical expansivity of benzene = `1.2 xx 10^(-3)K^(-1)`

A

`27^(@)`C

B

`21.7^(@)`C

C

`31^(@)`C

D

`31.7^(@)`C

Text Solution

Verified by Experts

b) `rho_(1) + rho_(1)gamma_(2)DeltaT = rho_(2) + rho_(2)gamma_(1)DeltaT`
`DeltaT = (rho_(1)-rho_(2))/(rho_(2)gamma(1)-rho_(1)gamma_(2))`
`DeltaT_(2) = (900-800)/(880 xx 1.2 xx 10^(-3) - 900 xx 1.5 xx 10^(-4)` `rArr DeltaT = 21.7^(@)`C
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