The coefficient of apparent expansion of merc | vedclass

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(A) The coefficient of real expansion of mercury $(\gamma_{	ext{real}})$ is constant for both cases.We know that $\gamma_{	ext{real}} = \gamma_{	ex

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

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(A) The coefficient of real expansion of mercury $(\gamma_{	ext{real}})$ is constant for both cases.We know that $\gamma_{	ext{real}} = \gamma_{	ext{app}} + \gamma_{	ext{vessel}}$,where $\gamma_{	ext{vessel}} = 3\alpha$.For the steel vessel: $\gamma_{	ext{real}} = 144 	imes 10^{-6} + 3(12 	imes 10^{-6}) = 144 	imes 10^{-6} + 36 	imes 10^{-6} = 180 	imes 10^{-6}/^{\circ}C$.For the glass vessel: $\gamma_{	ext{real}} = \gamma_{	ext{app, glass}} + 3\alpha_{	ext{glass}}$.Equating the two: $180 	imes 10^{-6} = 153 	imes 10^{-6} + 3\alpha_{	ext{glass}}$.$3\alpha_{	ext{glass}} = (180 - 153) 	imes 10^{-6} = 27 	imes 10^{-6}/^{\circ}C$.$\alpha_{	ext{glass}} = 9 	imes 10^{-6}/^{\circ}C$.

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:

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