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

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 relation between the coefficient of real expansion $(\gamma_r)$ and coefficient of apparent expansion $(\gamma_a)$ of a liquid and the coefficient of linear expansion $(\alpha_g)$ of the material of the container is:

In a vertical $U-$tube containing a liquid,the two arms are maintained at different temperatures ${t_1}$ and ${t_2}$. The liquid columns in the two arms have heights ${l_1}$ and ${l_2}$ respectively. The coefficient of volume expansion of the liquid is equal to

The change in density of mercury,when it is heated from $10^{\circ} C$ to $60^{\circ} C$ is (The coefficient of volume expansion of mercury is $18.2 \times 10^{-5} \ K^{-1}$) (in $\%$)

$A$ 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

Vedclass Test Series

Exam Paper Generator

Online Exam Module