The coefficient of apparent expansion of merc | vedclass

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

Question

(B) The coefficient of apparent expansion $\gamma_{app}$ is related to the coefficient of real expansion of liquid $\gamma_r$ and the coefficient of v

Vedclass · Accepted Answer

$6 	imes 10^{-6} /^{\circ}C$

Vedclass · Answer

(B) The coefficient of apparent expansion $\gamma_{app}$ is related to the coefficient of real expansion of liquid $\gamma_r$ and the coefficient of volume expansion of the vessel $\gamma_v$ by the formula: $\gamma_{app} = \gamma_r - \gamma_v$.For a vessel,the coefficient of volume expansion $\gamma_v = 3\alpha$,where $\alpha$ is the coefficient of linear expansion.Thus,$\gamma_{app} = \gamma_r - 3\alpha$.For steel: $\gamma_{app, steel} = 114 	imes 10^{-6} /^{\circ}C$ and $\alpha_{steel} = 12 	imes 10^{-6} /^{\circ}C$.$\gamma_r = \gamma_{app, steel} + 3\alpha_{steel} = 114 	imes 10^{-6} + 3(12 	imes 10^{-6}) = 114 	imes 10^{-6} + 36 	imes 10^{-6} = 150 	imes 10^{-6} /^{\circ}C$.For glass: $\gamma_{app, glass} = 132 	imes 10^{-6} /^{\circ}C$.Using $\gamma_{app, glass} = \gamma_r - 3\alpha_{glass}$:$132 	imes 10^{-6} = 150 	imes 10^{-6} - 3\alpha_{glass}$.$3\alpha_{glass} = 150 	imes 10^{-6} - 132 	imes 10^{-6} = 18 	imes 10^{-6} /^{\circ}C$.$\alpha_{glass} = 6 	imes 10^{-6} /^{\circ}C$.

The coefficient of apparent expansion of mercury in a glass vessel is $132 \times 10^{-6} /^{\circ}C$ and in a steel vessel is $114 \times 10^{-6} /^{\circ}C$. If $\alpha$ for steel is $12 \times 10^{-6} /^{\circ}C$,then that of glass is:

Similar Questions

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 $473 \, K$?

If $\alpha_V$ and $T$ are the coefficient of volume expansion and temperature for an ideal gas respectively, then

The coefficient of apparent expansion of a liquid in a copper vessel is $C$ and in a silver vessel is $S$. The coefficient of volume expansion of copper is $\gamma_c$. What is the coefficient of linear expansion of silver?

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

$A$ liquid having a coefficient of cubical expansion $\gamma$ is filled in a container having a coefficient of linear expansion $\alpha$. If the liquid overflows upon heating,which of the following relations is correct?

Vedclass Test Series

Exam Paper Generator

Online Exam Module