Question

When $1g$ of water at ${100}^{\circ }C$ gets converted into steam at the same temperature, the change in volume is approximately :

• A. $1cc$
• B. $1000cc$
• C. $1500cc$
• D. $1670cc$

Answer 1

The correct option is D $1670cc$

Given: When 1g of water at ${100}^{\circ }C$ gets converted into steam at the same temperature,

To find the change in volume

Solution:

We know,

Density of water, $\rho =1000kg/m^3=1g/c{m}^3$

Density of steam, $\rho =0.6kg/m^3=0.0006g/c{m}^3$

Mass of the water and mass of water, $m=1g$

Volume of water is

$m=\rho V⟹V=\frac{m}{\rho }=\frac{1}{1}⟹V=1cc$

Volume of steam,

$V^{\prime }=\frac{m}{\rho }=\frac{1}{0.0006}=1666.7cc\approx 1667cc$

The change in volume,

$\Delta V=V^{\prime }-V⟹\Delta V=1667-1=1666cc$