Properties Of Solids And Liquids Question 468
Question: 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 [EAMCET 1991]
Options:
A) $ \frac{C+S-3A}{3} $
B) $ \frac{C+3A-S}{3} $
C) $ \frac{S+3A-C}{3} $
D) $ \frac{C+S+3A}{3} $
Show Answer
Answer:
Correct Answer: B
Solution:
$ {\gamma _{r}}={\gamma _{a}}+{\gamma _{v}} $ ;
where $ {\gamma _{r}}= $ coefficient of real expansion, $ {\gamma _{a}}= $ coefficient of apparent expansion and $ {\gamma _{v}}= $ coefficient of expansion of vessel.
For copper $ {\gamma _{r}}=C+3{\alpha _{Cu}}=C+3A $
For silver $ {\gamma _{r}}=S+3{\alpha _{Ag}} $
therefore $ C+3A=S+3{\alpha _{Ag}} $
therefore $ {\alpha _{Ag}}=\frac{C-S+3A}{3} $
