Question

If $\gamma$ is the coefficient of a real expansion of a liquid then the temperature at which density of a liquid is 1% of its density at 0${}^o$C is :

• A. $\frac{99}{\gamma }$
• B. $\frac{1}{99\gamma }$
• C. $\frac{100}{\gamma }$
• D. $\frac{1}{100\gamma }$

Answer 1

Answer: (A)

$\frac{99}{\gamma }$

$d_0=d_t(1+\gamma \Delta t)$
Given $d_t=0.01\ast d_0$

$\therefore ,100=(1+\gamma \Delta t)$
$\therefore \Delta t=\frac{99}{\gamma }$
$\therefore t-0=\frac{99}{\gamma }$
$\Rightarrow t=\frac{99}{\gamma }$