How much time passes before the ice starts to melt? How much timepasses before t

Question

How much timepasses before the icestartsto melt?

How much timepasses before the icestartsto melt? From the time when the heating begins, how much timedoes it take before the temperature begins to rise above 0 degree C? An open container holds ice of mass 0.565 kg at a temperature of -16.9 degree C . The mass of the container can be ignored. Heat is supplied to the container at the constant rate of 800 J/minute. The specific heat of ice to is 2100 J/kg. K and the heat of fusion for ice is 334 x 10^3 J/kg.

Explanation / Answer

For ice to melt, its temperature must be 0* C. Let Q1 = heat required to raise the ice temp from -16.9 C. to 0* C. Q2 = heat required to melt the ice Q1 = MCp(delta T) Q2 = m(Hf) where M = mass of the ice = 0.565 kg (given) Cp = specific heat of ice = 2100 J/kg K (given) delta T = temperature change = 0 - -16.9 = 16.9 C. Hf = heat of fusion of ice = 334 x 10^3 J/jg. Substituting values, Q1 = 0.565(2100)(16.9) Q1 = 20051.85 joules Q2 = 0.565(334 x 10^3) Q2 =188710 joules Total heat required to melt the ice = Q1 + Q2 = 208761.85joules Tmelt = Q1/800 = 20051.85/800 = 25.06 unit Trise = (Q1 + Q2)/740 Trise = 208761.85 /800 = 260.95 units

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