Properties Of Solids And Liquids Question 400
Question: 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 a for steel is $ 12\times {{10}^{-6}}/{}^\circ C $ , then that of glass is
Options:
A) $
$
B) $ 6\times {{10}^{-6}}/{}^\circ C $
C) (c)$ 36\times {{10}^{-6}}/{}^\circ C $
D) $ 27\times {{10}^{-6}}/{}^\circ C $
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Answer:
Correct Answer: A
Solution:
[a] $ {\gamma _{real}}={\gamma _{app.}}+{\gamma _{vessel}} $ So $ {{( {\gamma _{app.}}+{\gamma _{vessel}} )} _{glass}}={{( {\gamma _{app }}+{\gamma _{vessel}} )} _{steel}} $
$ \Rightarrow 153\times {{10}^{-6}}+{{( {\gamma _{vessel}} )} _{glass}} $
$ =144\times 1{{0}^{-6}}+{{( {\gamma _{vessel}} )} _{steel}} $
$ Further{{({\gamma _{vessel}})} _{steel}}=3\alpha =3\times (12\times 1{{0}^{-6}}) $
$ =36\times {{10}^{-6}}{{/}^{o}}C $
$ \Rightarrow 153\times 1{{0}^{-6}}+{{( {\gamma _{vessel}} )} _{glass}} $
$ =144\times 1{{0}^{-6}}+36\times l{{0}^{-6}} $
$ {{( {\gamma _{vessel}} )} _{gIass}}=3\alpha =27\times 10{{/}^{o}}C $
$ \Rightarrow a=9\times {{10}^{-6}}/{}^\circ C $
