A glass flask of volume 1 , L is completely f | vedclass

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(B) The volume of both the mercury and the glass flask increases with the rise in temperature.The volume of mercury that overflows is the difference b

Vedclass · Accepted Answer

$15.2$

Vedclass · Answer

(B) The volume of both the mercury and the glass flask increases with the rise in temperature.The volume of mercury that overflows is the difference between the increase in the volume of mercury and the increase in the internal volume of the glass flask.Given:Initial volume $V_0 = 1 \, L = 1000 \, cm^3$Change in temperature $\Delta 	heta = 100 \, ^\circ C - 0 \, ^\circ C = 100 \, ^\circ C$Coefficient of volume expansion of mercury $\gamma_l = 1.82 	imes 10^{-4} \, ^\circ C^{-1}$Coefficient of linear expansion of glass $\alpha_g = 0.1 	imes 10^{-4} \, ^\circ C^{-1}$Coefficient of volume expansion of glass $\gamma_g = 3 \alpha_g = 3 	imes 0.1 	imes 10^{-4} = 0.3 	imes 10^{-4} \, ^\circ C^{-1}$The volume of mercury that overflows is given by:$\Delta V = V_0 (\gamma_l - \gamma_g) \Delta 	heta$$\Delta V = 1000 	imes (1.82 	imes 10^{-4} - 0.3 	imes 10^{-4}) 	imes 100$$\Delta V = 1000 	imes (1.52 	imes 10^{-4}) 	imes 100$$\Delta V = 15.2 \, cm^3$

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