First slide

Thermal expansion

Question

The apparent coefficient of expansion of a liquid when heated in a copper vessel is C and when heated in a silver vessel, it is S. If A is the linear coefficient of expansion of copper, then the linear coefficient of expansion of silver is

Moderate

A

$\frac{C + S - 3 A}{3}$
B

$\frac{C - S + 3 A}{3}$
C

$\frac{S + 3 A - C}{3}$
D

$\frac{C + S + 3 A}{3}$

Solution

$γ_{r} = γ_{a} + γ_{v}$ , where $γ_{r}$ = coefficient of real expansion,
$γ_{α}$ = coefficient of apparent expansion
and $γ_{v}$ = coefficient of expansion of vessel.
For copper, $γ_{r} = C + 3 α_{C u} = C + 3 A$
For silver, $γ_{r} = S + 3 α_{A g}$
$\Rightarrow C + 3 A = S + 3 α_{A g}$
$\Rightarrow α_{A g} = \frac{C - S + 3 A}{3}$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App