The apparent coefficient of expansion of a li | vedclass

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

Question

(B) Let $\gamma_L$ be the real coefficient of volume expansion of the liquid.Let $\gamma_C$ and $\gamma_S$ be the coefficients of volume expansion of

Vedclass · Accepted Answer

$\frac{C+3A-S}{3}$

Vedclass · Answer

(B) Let $\gamma_L$ be the real coefficient of volume expansion of the liquid.Let $\gamma_C$ and $\gamma_S$ be the coefficients of volume expansion of copper and silver, respectively.We know that the coefficient of volume expansion $\gamma = 3 	imes 	ext{linear coefficient of expansion } \alpha$.Given $\gamma_C = 3A$.The apparent expansion coefficient is given by $\gamma_{app} = \gamma_L - \gamma_{vessel}$.For copper: $C = \gamma_L - 3A \implies \gamma_L = C + 3A$.For silver: $S = \gamma_L - \gamma_S \implies \gamma_S = \gamma_L - S$.Substituting $\gamma_L = C + 3A$ into the equation for silver: $\gamma_S = C + 3A - S$.Since $\gamma_S = 3 \alpha_S$, where $\alpha_S$ is the linear coefficient of expansion of silver:$3 \alpha_S = C + 3A - S \implies \alpha_S = \frac{C + 3A - S}{3}$.

The apparent coefficient of expansion of a liquid, when heated in a copper vessel is $C$ and when heated in a silver vessel is $S$. If $A$ is the linear coefficient of expansion of copper, then the linear coefficient of expansion of silver is:

Similar Questions

On heating a liquid of coefficient of cubical expansion $\gamma$ in a container having coefficient of linear expansion $\gamma/3$,the level of liquid in the container will

Give the value of the coefficient of volume expansion at room temperature for an ideal gas.

When water is heated from $0^{\circ} C$ to $10^{\circ} C$,its volume:

The density of water at $20^oC$ is $0.998 \, g/cm^3$ and at $40^oC$ is $0.992 \, g/cm^3$. The mean coefficient of cubical expansion (in per $^oC$) is:

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

Vedclass Test Series

Exam Paper Generator

Online Exam Module