Question

The coefficient of real expansion of a liquid is $0.2\times {10}^{-3}{/}^o$C. If its density at $0^o$C is 10 gm/c.c., then its density at ${100}^0$C is :

• A. 9.8 gm/c.c.
• B. 980 gm /c.c.
• C. 0.98 gm/c.c.
• D. 10.2 gm/c.c.

Answer 1

The correct option is A 9.8 gm/c.c.

$d_0=d_t(1+\gamma \Delta t)$
Given,
$d_0=10$
$\gamma =0.2\ast {10}^{-3}$
$\Delta t=100$
$\therefore 10=d_t(1+0.2\ast {10}^{-3}\ast 100)$
$\therefore d_t=\frac{10}{(1+0.2\ast {10}^{-3}\ast 100)}=9.8\frac{g}{c.c.}$