Question

The density of ice is x gm/cc and that of water is y gm/cc What is the change in volume in cc, when m gm of ice melts?

• A. M (y - x)
• B. (y - x)/m
• C. mxy (x - y)
• D. m (1/y - 1/x)

Answer 1

The correct option is D m (1/y - 1/x)

${\rho }_1=x;{\rho }_2=y$
mass of melted ice $=m$
volume of ice before melting$=\frac{m}{{\rho }_1}=\frac{m}{x}$
volume of ice after melting$=\frac{m}{{\rho }_2}=\frac{m}{y}$
change in volume of ice$=\frac{m}{{\rho }_2}-\frac{m}{{\rho }_1}=m(\frac{1}{y}-\frac{1}{x})$