The final temperature of the water is 75.6∘C.
Condensation is the process by which steam is converted to water at the boiling point of water. Heat lost by steam = Heat gained by water.
Heat lost by steam= ( 0.534 g × 2.03 × (104 - 100)) + (0.534 g × 40.7 × 10^3 / 18) = 4.34 + 1207.4 = 1211.74 J
Heat gained by water = ( 4.86 × 4.18 × (T2 - 15.9 ∘C))
1211.74 = 20.3T2 - 322.77
1211.74 + 322.77 = 20.3T2
T2 = 1211.74 + 322.77/20.3
T2 = 75.6∘C
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