Question

If on heating liquid through ${80}^{\circ }C$, the mass expelled is $(\frac{1}{100}{)}^{th}$ of mass still remaining, the coefficient of apparent expansion of liquid is

• A. $1.25\times {10}^{-4}{/}^{\circ }C$
• B. None of these
• C. $1.25\times {10}^{-5}{/}^{\circ }C$
• D. $12.5\times {10}^{-4}{/}^{\circ }C$

Answer 1

The correct option is A $1.25\times {10}^{-4}{/}^{\circ }C$

We know that: ${\gamma }_{app}=\frac{\text{Mass expelled}}{\text{Mass remained}\times \Delta T}$
Given:
Expelled mass=$\frac{1}{100}$ mass remaining
$\Delta T={80}^{\circ }C$
${\gamma }_{app}=\frac{\text{Mass expelled}}{\text{Mass remained}\times \Delta T}$
${\gamma }_{app}=\frac{\frac{x}{100}}{x\times 80}$
=$\frac{1}{8000}$
${\gamma }_{app}=1.25\times {10}^{-4}{/}^{\circ }C$
Final answer (a)