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

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

Question

(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$

Similar Questions

The coefficients of apparent expansion of a liquid when determined using two different vessels $A$ and $B$ are $\gamma_1$ and $\gamma_2$, respectively. If the coefficient of linear expansion of the vessel $A$ is $\alpha$, the coefficient of linear expansion of the vessel $B$ is

The coefficient of volume expansion of glycerin is $49 \times 10^{-5} \; K^{-1}$. What is the fractional change in its density for a $30 \; ^{\circ}C$ rise in temperature?

$A$ 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 real expansion of mercury is $0.18 \times 10^{-3} \, ^{\circ}C^{-1}$. If the density of mercury at $0^{\circ}C$ is $13.6 \, g/cm^3$,what is its density at $473 \, K$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module