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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

The correct Answer is:
B
We have `rho_(1) + rho_(1) gamma_(2) Delta T= rho_(2) + rho_(2) gamma_(1) Delta T`
`rArr Delta T= (rho_(1)- rho_(2))/(rho_(2) gamma_(1)- rho_(1) gamma_(2))`
`rArr Delta T= (900-880)/(880 xx 1.2 xx 10^(-3) - 900 xx 1.5 xx 10^(-4))`
`Delta T= 21.7^(@)C`
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