Question

The absolute coefficient of expansion of a liquid is $7$ times that the volume coefficient of expansion of the vessel. Then the ratio of absolute and apparent expansion of the liquid is

• A. $\frac{1}{7}$
• B. $\frac{7}{6}$
• C. $\frac{6}{7}$
• D. None of these

Answer 1

Answer: (B)

Apparent coefficient of volume expansion
$\gamma_{\text {app. }}=\gamma_{L}-\gamma_{s}=7 \gamma_{s}-\gamma_{s}=6 \gamma_{s}$ (given $\gamma_{L}=7 \gamma_{s}$ )
Ratio of absolute and apparent expansion of liquid
$\frac{\gamma_{L}}{\gamma_{\text {app }}}=\frac{7 \gamma_{s}}{6 \gamma_{s}}=\frac{7}{6}$