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500 g of molten lead at its m.p. is just kept in molten state by a heater of 25 W. If the heater is switched off, the temperature of lead starts falling after 7 min.

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Question

500 g of molten lead at its m.p. is just kept in molten state by a heater of 25 W. If the heater is switched off, the temperature of lead starts falling after 7 min. Calculate the sp. latent heat of fusion of lead.

Numerical
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Solution

Time for which temp. does not fall = Time in which lead changes its state from liquid to solid.

Heat given out by lead at its m.p. = mL

= 500 g × L

Also, heat given out by lead = P × t

\[=25 \frac{J}{s} \times 7 \times 60 \mathrm{~s}\]

= 10500 J

∴ 500 g × L = 10500 J

\[\therefore L =\frac{10500}{500}\]

= 21 Jg−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 8. | Page 253
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