Multiple choice

If 100 g water at 10oC is mixed with 200 g water at 80oC, calculate the final temperature of the mixture.

  1. 35.65oC

  2. 46.25oC

  3. 56.67oC

  4. 66.25oC
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C Correct answer
Explanation

With equal specific heat, the final temperature is the mass-weighted average. It is (100 × 10 + 200 × 80)/300 = 56.67°C.

AI explanation

Using the weighted average method for mixtures, the final temperature is calculated by dividing the total heat content by the total mass. The total heat content is (100 g times 10 degrees C) plus (200 g times 80 degrees C), which equals 1000 plus 16000 to give 17000. Dividing this total heat by the combined mass of 300 g gives a final temperature of 56.67 degrees C.

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