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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^(2) kg//m^(3)`
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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