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QPages 98-102: Q52: HC Verma: Concepts of Physics - Volume 2 Heat Transfer Pages 98-102: Q52 Solution: A calorimeter contains 50 g of water at 50�C. The temperature…

A calorimeter contains 50 g of water at 50�C. The temperature falls to 45�C in 10 minutes. When the calorimeter contains 100 g of water at 50�C, it takes 18 minutes for the temperature to become 45�C. Find the water equivalent of the calorimeter.

Step-by-Step Verified Solution

**Answer:** Water equivalent of calorimeter = 12.5 g. **Step-BY-Step Explanation:** For 50 g water: (50+w) _ 5/t_ = constant. For 100 g water: (100+w) _ 5/t_ = same.
50+w10=100+w18⇒18(50+w)=10(100+w)⇒w=12.5 g\frac{50+w}{10} = \frac{100+w}{18} \Rightarrow 18(50+w) = 10(100+w) \Rightarrow w = 12.5 \text{ g}

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