First slide

Thermal expansion

Question

Coefficient of real expansion of mercury is 0.18 x 10^-3 / ⁰C. If the density of mercury at 0⁰C is 13.6 gm/c.c., its density at 573K will be

Easy

A

12.90 gm/c.c
B

13.10 gm/c.c
C

12.95 gm/c.c
D

12.75 gm/c.c

Solution

$\large d_2=\frac {d_1}{(1+\gamma.\Delta t)}$
$\large d_2=d_1(1-\gamma \Delta t)=13.6(1-0.18\times 10^{-3}\times 300)=12.90\;gm/c.c$

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