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3.75 × 105 calories of heat is given out by 5 kg of water at 100°C. Calculate the temperature of the cooled water. The specific heat capacity of water is 1000 calkg−1°C−1.

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Question

3.75 × 105 calories of heat is given out by 5 kg of water at 100°C. Calculate the temperature of the cooled water. The specific heat capacity of water is 1000 calkg−1°C−1.

Numerical
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Solution

Given: m = 5 kg, c = 1000 calkg−1°C−1, Q = 3.75 × 105

Heat lost by water (Q) = mcΔT

$$\Delta T = \frac{Q}{mc}$$

$$= \frac{3.75 \times 10^5}{5 \times 1000}$$

= 75°C

Since water cools, final temperature = 100°C − 75°C = 25°C

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Chapter 10: Calorimetry - NUMERICAL PROBLEMS ON SPECIFIC HEAT CAPACITY [Page 238]

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Goyal Brothers Prakashan A New Approach to ICSE Physics [English] Class 10
Chapter 10 Calorimetry
NUMERICAL PROBLEMS ON SPECIFIC HEAT CAPACITY | Q 2. | Page 238
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