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The densities of a liquid at 0^(@)C and ...

The densities of a liquid at `0^(@)C` and `100^(@)C` are respectively `1.0127` and 1. A specific gravity bottle is filled with 300 g of the liquid at `0^(@)C` upto the brim and it is heated to `100^(@)C`. Then, the mass of the liquid expelled in gram is
Coefficient of linear expansion of glass `= 9 xx 10^(-6)//^(@)C`)

Text Solution

Verified by Experts

`d _(t) = (d _(0))/( 1 + gamma t) implies 1 + gammat = (d_(0))/( d _(t)) = 1. 018 implies gamma t = 0.018 implies gamma = (0.018)/(100) = 0.00018 per ^(@)C`
`gamma _(app) = 0.000180 -0.000027 = 0.000153 implies -000153 = (x)/((340 -x) xx 1000)`
`x =0.0153 (340 -x) implies 1.0153 x = 340 xx 0.0153 implies x = (340 xx 0.0153)/( 1.0153) = 5.126 gm`
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