A mercury in glass thermometer has a stem of internal diameter 0.06 cm and contains 43 g of mercury. The mercury thread expands by 10 cm when the temperature changes from `0^@C` to `50^@C`. Find the coefficient of cubical expansion of mercury. Relative density of mercury `=13.6` and `alpha_("glass")=9xx10^(-6)//K`.

A mercury in glass thermometer has a stem of internal diameter 0.06 cm

1.	A mercury in glass thermometer has a stem of internal diameter 0.06 cm and contains 43 g of mercury. The mercury thread expands by 10 cm when the temperature changes from `0^@C` to `50^@C`. Find the coefficient of cubical expansion of mercury. Relative density of mercury `=13.6` and `alpha_("glass")=9xx10^(-6)//K`.
Answer» Apparent expansion of mercury `=(pi)/(4)(6xx10^-4)^2xx10xx10^-2` `=9pixx10^-9m^3` volume of mercury `=(43xx10^-3)/(13.6xx1000)` `=3.16xx10^-6m^3` `:. 9pixx10^-9=3.16xx10^-6xxgamma_(alpha)xx50` `(DeltaV=VgammaxxDeltaT)` or `gamma_(alpha)=18xx10^-5` `gamma_r=gamma_(alpha)+gamma_g=gamma_(alpha)+3alpha_(g) (gamma_g=3alpha_g)` `:. gamma_r=18xx10^-5+3xx9xx10^-6` `=20.7xx10^-5K^-1`

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