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Calculate the standard enthalpy change for the fusion of 50 grams of ice at -10°C to liquid water at 10°C. Given the enthalpy of fusion of ice is 6.01 kJ/mol and the specific heat capacity of water is 4.184 J/g°C.

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To calculate the standard enthalpy change for the fusion of 50 grams of ice at -10C to liquid water at 10C, we need to consider three steps:1. Heating the ice from -10C to 0C.2. Melting the ice at 0C.3. Heating the liquid water from 0C to 10C.First, let's calculate the moles of ice:The molar mass of water  H2O  is 18.015 g/mol.moles =  mass  /  molar mass  = 50 g / 18.015 g/mol = 2.776 molesStep 1: Heating the ice from -10C to 0CThe specific heat capacity of ice is approximately 2.093 J/gC.q1 =  mass    specific heat capacity of ice    change in temperature q1 = 50 g  2.093 J/gC   0 -  -10  C = 50 g  2.093 J/gC  10C = 1046.5 JStep 2: Melting the ice at 0Cq2 =  moles    enthalpy of fusion q2 = 2.776 moles  6.01 kJ/mol = 16.681 kJ = 16681 JStep 3: Heating the liquid water from 0C to 10Cq3 =  mass    specific heat capacity of water    change in temperature q3 = 50 g  4.184 J/gC   10 - 0 C = 50 g  4.184 J/gC  10C = 2092 JNow, let's sum up the enthalpy changes for all three steps:H = q1 + q2 + q3 = 1046.5 J + 16681 J + 2092 J = 19819.5 JThe standard enthalpy change for the fusion of 50 grams of ice at -10C to liquid water at 10C is 19.82 kJ  rounded to two decimal places .

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