A beaker contains 200 g of water. The heat capacity of beaker is equal to that 20 g of water. The initial temperature of water in the beaker is 20°C . If 440 g of hot water at 92°C is poured in, the final temperature, neglecting radiation loss, will be (a) 58°C (b) 68°C (c) 73°C (d) 78°C
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Answer:
Let the final temperature of the system be T.
Thus the heat absorbed by the cold water and beaker system=200×1×(T−20)+20×1×(T−20)
Heat lost be the hot water=440×1×(92−T)
From conservation of heat energy,
200×1×(T−20)+20×1×(T−20) =440×1×(92−T)
⟹T=68
∘
C
Explanation:
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