1. Tardigrade
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  3. Physics
  4. Heat is being supplied at a constant rate to a sphere of ice which is melting at the rate of 0.1 gm / sec. It melts completely in 100 sec. The rate of rise of temperature thereafter will be (Assume no loss of heat)

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Q. Heat is being supplied at a constant rate to a sphere of ice which is melting at the rate of $0.1\, gm / \sec$. It melts completely in $100\, \sec$. The rate of rise of temperature thereafter will be (Assume no loss of heat)

Solution:

Required heat/sec $=0.1 \times 80\, cal / gm$
$=8 \,cal / \sec$
Produced mass $=0.1 \times 100=10$
$gm$ ice or water $[$ now $Q = ms \Delta T ]$
In unit time rise of temperature will be
$\Delta T = Q / ms =8 /(10 \times 1)=0.8^{\circ} C / s$