Answer:
Volume of salt water, [tex]V_{sw} = 247.74 km^3[/tex]
Explanation:
Density of Ice, [tex]\rho_{ice} = 917 kg/m^3[/tex]
Density of salt water, [tex]\rho_{sw} = 1029 kg/m^3[/tex]
Volume of ice, [tex]V_{ice} = 278 km^3[/tex]
Volume of salt water, [tex]V_{sw} = ?[/tex]
Mass = Density * Volume
Mass of Ice, [tex]m_{ice} = \rho_{ice}V_{ice}[/tex]
Mass of Salt water, [tex]m_{sw} = \rho_{sw}V_{sw}[/tex]
Since , [tex]m_{ice} = m_{sw}[/tex]
[tex]\rho_{ice}V_{ice} = \rho_{sw}V_{sw}\\\\(917*278) = (1029*V_{sw})\\\\V_{sw} = \frac{254926}{1029} \\\\V_{sw} = 247.74 km^3[/tex]
