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A hydrocarbon of mass 1.5 kg is just kept in the molten state by a heater of 500 W. If the heater is switched off, the temperature starts dropping after 4 min.

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Question

A hydrocarbon of mass 1.5 kg is just kept in the molten state by a heater of 500 W. If the heater is switched off, the temperature starts dropping after 4 min. Calculate sp. latent heat of fusion of the hydrocarbon.

Numerical
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Solution

The heat supplied while the hydrocarbon changes state is Q = Pt.

Time = 4 × 60 = 240 s

Q = 500 × 240 = 120000 J

Using Q = mL

$$L = \frac{Q}{m}$$

$$= \frac{120000}{1.5}$$

= 80000 Jkg−1

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Chapter 10: Calorimetry - NUMERICAL PROBLEMS ON SPECIFIC LATENT HEAT OF FUSION [Page 253]

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Goyal Brothers Prakashan A New Approach to ICSE Physics [English] Class 10
Chapter 10 Calorimetry
NUMERICAL PROBLEMS ON SPECIFIC LATENT HEAT OF FUSION | Q 2. | Page 253
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