# a wieghtthermometer contains 200 g of mercury at 0 degree centigrade is surrounded by a liquid in a bath and 8 g of mercury flows out . what was the temperature of the bath if co-eff of apparent expansion of mercury is 0.00018 ?

Dear Student,

Please find below the solution to the asked query:

Initial volume of the mercury is *200 g*, then the mass flowing out, when the temperature increases is *8 g*. Therefore, the

The relation between the mass and the density of the thermometer is *$m=V\rho \Rightarrow m\propto \rho $*

$\u2206\rho =\rho \left(3\alpha \right)\left(\u2206T\right)\Rightarrow \u2206m=m\left(3\alpha \right)\left(\u2206T\right)\phantom{\rule{0ex}{0ex}}\Rightarrow 8=200\times \left(3\times 0.00018\right)\times \left(T-0\right)\Rightarrow 8=6\times 0.018\times T\phantom{\rule{0ex}{0ex}}\Rightarrow T=\frac{2000}{27}=74.07{}^{0}C$

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