30g water at 30°C is mixed with 1g of steam at 100℃. Calculate the final temperature of the mixture. Sw = 1cal/ g°C, Lvap= 540cal/g.

30g water at 30°C is mixed with 1g of steam at 100℃. Calculate the final temperature of the mixture. Sw = 1cal/ g°C, Lvap= 540cal/g. Correct Answer 49.67°C

30*1*(T-30) = 1*540 + 1*1*(100-T) ∴ 30T – 900 = 540 + 100 – T ⇒ 31T = 1540 ⇒ T = 49.67°C
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