Answer:
16.78kg
Explanation:
Data Given from question
Heat of fusion of water Lf=33.5×10^4 J/kg Lf=33.5×10^4 J/kg
Heat of vaporization Lv=22.6×10^5 J/kg Lv=22.6×10^5 J/kg
Mass of the steam condensed Ms=2.48 kgms=2.48 kg
From the condition given in the question
Heat Released during freezing = Heat released during condensation
Where Mw= Mass of water
MwLf=MsLv
MwLf=MsLv
Mw=MsLv÷Lf
Mw=MsLv÷Lf
Mw=2.48 kg×22.6×10^5 J/KG÷ 33.4×10^4 J/kg
Mw=2.48 kg×22.6×10^5 J/kg ÷33.4×10^4 J/kg
Therefore mass of water would be
Mw=16.78 kg