(A) The volume of the liquid that overflows is equal to the difference between the expansion of the liquid and the expansion of the glass vessel.Incre

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$V_0 \Delta T(\gamma_L - 3\alpha_g)$

(A) The volume of the liquid that overflows is equal to the difference between the expansion of the liquid and the expansion of the glass vessel.Increase in volume of liquid,$\Delta V_L = V_0 \gamma_L \Delta T$.Increase in volume of the glass vessel,$\Delta V_g = V_0 \gamma_g \Delta T$.Since the coefficient of volume expansion $\gamma_g = 3\alpha_g$,we have $\Delta V_g = V_0 (3\alpha_g) \Delta T$.The volume of liquid that overflows is $\Delta V_{overflow} = \Delta V_L - \Delta V_g$.$\Delta V_{overflow} = V_0 \gamma_L \Delta T - V_0 (3\alpha_g) \Delta T$.$\Delta V_{overflow} = V_0 \Delta T (\gamma_L - 3\alpha_g)$.

Class 11 Physics 10-1.Thermometry, Thermal Expansion and Calorimetry Thermal Expansion for fluid

Medium

$A$ glass vessel of volume $V_0$ is completely filled with a liquid and its temperature is raised by $\Delta T$. What volume of the liquid will flow over,if the coefficient of linear expansion of glass is $\alpha_g$ and the coefficient of volume expansion of the liquid is $\gamma_L$?

AP EAMCET 2021 All AP EAMCET

A
$V_0 \Delta T(\gamma_L - 3\alpha_g)$
B
$V_0 \Delta T(3\alpha_g - \gamma_L)$
C
$(\gamma_L - 3\alpha_g) \Delta T$
D
$(3\alpha_g - \gamma_L) \Delta T$

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10-1.Thermometry, Thermal Expansion and Calorimetry

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Thermal Expansion for fluid

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$A$ glass vessel of volume $V_0$ is completely filled with a liquid and its temperature is raised by $\Delta T$. What volume of the liquid will flow over,if the coefficient of linear expansion of glass is $\alpha_g$ and the coefficient of volume expansion of the liquid is $\gamma_L$?

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 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 vessel $A$ is $\alpha$,then the coefficient of linear expansion of 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?

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:

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