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The density of mercury at 0^(@)C is 13.6...

The density of mercury at `0^(@)C` is `13.6xx10^(3)kg m^(3)`. Find its density at `100^(@)C` given `y=1.8xx1^(4)//^(@)C`

Text Solution

Verified by Experts

`rho_(1)=(m)/(V_(1))`
`rho_(2)=(m)/(V_(2))=(m)/(V_(1)(1+ gamma DeltaT))`
`:. (rho_(1))/(rho_(2)0=1+gamma+DeltaT`
`rho_(2)=(rho_(1))/(1+gammaDeltaT)=(13.6xx10^(3))/(1+1.8xx10^(-4)xx100)`
`=(13.6xx10^(3))/(1+0.018)=(3.6)/(1.018)xx10^(3)`
`rho_(2)=13.36xx10^(3) kg m^(3)`
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