Question

The density of ice is 917 kg/m3. The density of salt water is 1029 kg/m3. A mass of ice is 2.55 x 1013 kg. Calculate the volume of salt water that has the same mass as 278 km3 of ice.

Answer 1

Answer:

Volume of salt water, $V_{sw} = 247.74 km^3$

Explanation:

Density of Ice, $\rho_{ice} = 917 kg/m^3$

Density of salt water, $\rho_{sw} = 1029 kg/m^3$

Volume of ice, $V_{ice} = 278 km^3$

Volume of salt water, $V_{sw} = ?$

Mass = Density * Volume

Mass of Ice, $m_{ice} = \rho_{ice}V_{ice}$

Mass of Salt water, $m_{sw} = \rho_{sw}V_{sw}$

Since , $m_{ice} = m_{sw}$

$\rho_{ice}V_{ice} = \rho_{sw}V_{sw}\\\\(917*278) = (1029*V_{sw})\\\\V_{sw} = \frac{254926}{1029} \\\\V_{sw} = 247.74 km^3$