Question

Density of substance at $0^{o}C$ is 10 gm/cc and at ${100}^{o}C$, its density is 9.7 gm/cc. The coefficient of linear expansion of the substance will be -

• A. ${10}^2$
• B. ${10}^{-2}$
• C. ${10}^{-3}$
• D. ${10}^{-4}$

Answer 1

The correct option is D ${10}^{-4}$

Given,

$d_0=10gm/cc$

$\Delta T={100}^{0}C$

$d=9.7gm/cc$

$\alpha =$ linear expansion coefficient.

Thermal expansion in density,

$d-d_0=3\alpha \Delta T$

$10-9.7=3\alpha \times 100$

$\alpha =\frac{10-9.7}{300}$

$\alpha ={10}^{-4}{/}^{0}C$