The value of the coefficient of volume expans | vedclass

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

Question

(C) Let $\rho_0$ and $\rho_T$ be the densities of glycerin at initial temperature and final temperature respectively.The relationship between density

Vedclass · Accepted Answer

$0.02$

Vedclass · Answer

(C) Let $ho_0$ and $ho_T$ be the densities of glycerin at initial temperature and final temperature respectively.The relationship between density and temperature is given by $ho_T = ho_0(1 - \gamma \Delta T)$,where $\gamma$ is the coefficient of volume expansion and $\Delta T$ is the change in temperature.Rearranging the equation,we get $\frac{ho_T}{ho_0} = 1 - \gamma \Delta T$.The fractional change in density is defined as $\frac{ho_0 - ho_T}{ho_0}$.From the equation,$\frac{ho_0 - ho_T}{ho_0} = \gamma \Delta T$.Given $\gamma = 5 	imes 10^{-4} \ K^{-1}$ and $\Delta T = 40 \ K$.Substituting the values,the fractional change in density = $(5 	imes 10^{-4} \ K^{-1}) 	imes (40 \ K) = 200 	imes 10^{-4} = 0.02$.

The value of the coefficient of volume expansion of glycerin is $5 \times 10^{-4} \ K^{-1}$. The fractional change in the density of glycerin for a rise of $40^{\circ}C$ in its temperature is:

Similar Questions

Obtain the coefficient of volume expansion for an ideal gas.

If on heating a liquid through $80^{\circ}C$,the mass expelled is $(1/100)^{th}$ of the mass remaining,the coefficient of apparent expansion of the liquid is:

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

The graph between volume and temperature for a gas is shown in the figure. If $\alpha$ = volume coefficient of the gas = $\frac{1}{273} \text{ per } ^oC$,then what is the volume of the gas at a temperature of $819 ^oC$?

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?

Vedclass Test Series

Exam Paper Generator

Online Exam Module