How much energy (in kJ) is needed to convert 50.0 g of ice at -10.0 ºC to liquid water at 0.0 ºC?

Chemistry
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ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
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How much energy (in kJ) is needed to convert 50.0 g of ice at -10.0 ºC to liquid water at 0.0 ºC?

Expert Solution
Step 1

M=50 gm=0.05kg

 we raise the temperature of 0.05kg of ice at -10C to 0C. The heat capacity of ice, Cp = 2.093kJ/kg

ΔH1 = m•Cp•ΔT = 0.05(2.093)(0 – (-10)) = 1.4515 kJ

 we need heat to melt the ice at 0C to water at 0C. The heat of fusion of ice, Hf = 333.55kJ/kg

ΔH2 = m•Hf = 0.1kg(333.55kJ/kg) = 33.355kJ

So the total heat energy required is:

ΔH1 + ΔH2 = 1.4515+33.355= 34.8065kJ

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