The coefficient of apparent expansion of merc | vedclass

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

Question

(A) The relationship between real expansion,apparent expansion,and vessel expansion is given by: $\gamma_{real} = \gamma_{app} + \gamma_{vessel}$.Sinc

Vedclass · Accepted Answer

$9 	imes 10^{-6}/^{\circ}C$

Vedclass · Answer

(A) The relationship between real expansion,apparent expansion,and vessel expansion is given by: $\gamma_{real} = \gamma_{app} + \gamma_{vessel}$.Since the real expansion coefficient of mercury $(\gamma_{real})$ is constant,we have: $(\gamma_{app} + \gamma_{vessel})_{glass} = (\gamma_{app} + \gamma_{vessel})_{steel}$.Given $\gamma_{app, glass} = 153 	imes 10^{-6}/^{\circ}C$ and $\gamma_{app, steel} = 144 	imes 10^{-6}/^{\circ}C$.For a solid vessel,the volume expansion coefficient is $\gamma_{vessel} = 3\alpha$.For steel,$\gamma_{vessel, steel} = 3 	imes (12 	imes 10^{-6}) = 36 	imes 10^{-6}/^{\circ}C$.Substituting these values into the equation: $153 	imes 10^{-6} + \gamma_{vessel, glass} = 144 	imes 10^{-6} + 36 	imes 10^{-6}$.$153 	imes 10^{-6} + \gamma_{vessel, glass} = 180 	imes 10^{-6}$.$\gamma_{vessel, glass} = (180 - 153) 	imes 10^{-6} = 27 	imes 10^{-6}/^{\circ}C$.Since $\gamma_{vessel, glass} = 3\alpha_{glass}$,we have $3\alpha_{glass} = 27 	imes 10^{-6}/^{\circ}C$.Therefore,$\alpha_{glass} = 9 	imes 10^{-6}/^{\circ}C$.

The coefficient of apparent expansion of mercury in a glass vessel is $153 \times 10^{-6}/^{\circ}C$ and in a steel vessel is $144 \times 10^{-6}/^{\circ}C$. If $\alpha$ for steel is $12 \times 10^{-6}/^{\circ}C$,then $\alpha$ for glass is:

Similar Questions

Pure hydrogen sulphide is stored in a tank of $100 \ L$ capacity at $20 \ ^oC$ and $2 \ atm$ pressure. The mass of the gas will be ................. $g$.

Which of the following reagents will convert propanoic acid to propan-$1$-ol?

Along the $x$-axis,three charges $\frac{q}{2}, -q$ and $\frac{q}{2}$ are placed at $x=0, x=a$ and $x=2a$ respectively. The resultant electric potential at a point $P$ located at a distance $r$ from the charge $-q$ (where $r > a$) is ($\varepsilon_0$ is the permittivity of free space):

$A$ man is watching two trains,one leaving and the other coming with equal speed of $4\,m/s$. If they sound their whistles each of frequency $240\,Hz$,the number of beats per second heard by the man will be equal to (velocity of sound in air $= 320\,m/s$)

Which logic gate is represented by the following combination of logic gates?

Vedclass Test Series

Exam Paper Generator

Online Exam Module