A glass flask of volume 1 L is filled comple | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The volume of mercury that overflows is equal to the difference in the volume expansion of mercury and the glass flask.$\Delta V = V_0 [\gamma_m -

Vedclass · Accepted Answer

$15.2$

Vedclass · Answer

(B) The volume of mercury that overflows is equal to the difference in the volume expansion of mercury and the glass flask.$\Delta V = V_0 [\gamma_m - \gamma_g] \Delta 	heta$Since $\gamma_g = 3\alpha_g$, we have:$\Delta V = V_0 [\gamma_m - 3\alpha_g] \Delta 	heta$Given:$V_0 = 1 \ L = 1000 \ cc$$\gamma_m = 1.82 	imes 10^{-4} /{ }^{\circ} C = 182 	imes 10^{-6} /{ }^{\circ} C$$\alpha_g = 0.1 	imes 10^{-4} /{ }^{\circ} C = 10 	imes 10^{-6} /{ }^{\circ} C$$\Delta 	heta = 100^{\circ} C - 0^{\circ} C = 100^{\circ} C$Substituting the values:$\Delta V = 1000 	imes [182 	imes 10^{-6} - 3(10 	imes 10^{-6})] 	imes 100$$\Delta V = 1000 	imes [182 	imes 10^{-6} - 30 	imes 10^{-6}] 	imes 100$$\Delta V = 1000 	imes [152 	imes 10^{-6}] 	imes 100 = 15.2 \ cc$

Similar Questions

$A$ liquid with a coefficient of volume expansion $\gamma$ is filled in a container of a material having a coefficient of linear expansion $\alpha$. If the liquid overflows on heating,then

The coefficient of volume expansion of glycerin is $5 \times 10^{-4} \ K^{-1}$. If the temperature of glycerin is raised by $40^{\circ} C$,the fractional change in its density will be . . . . . . .

The coefficient of linear expansion of a vessel completely filled with $Hg$ is $1 \times 10^{-5} /^{\circ} C$. If there is no overflow of $Hg$ on heating the vessel,then the coefficient of cubical expansion of $Hg$ is:

The apparent coefficient of expansion of a liquid when heated in a brass vessel is $X$ and when heated in a tin vessel is $Y$. If $\alpha$ is the coefficient of linear expansion for brass, the coefficient of linear expansion of tin is ..........

Which of the following curves represent the variation of coefficient of volume expansion of an ideal gas at constant pressure?

Vedclass Test Series

Exam Paper Generator

Online Exam Module