This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.

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Answer
C. 3780 J
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Step 1: Calculate the heat required to melt of ice at to water at . The formula for heat absorbed during a phase change (melting) is . Given:
Step 2: Calculate the heat required to raise the temperature of of water from to . The formula for heat absorbed during a temperature change is . Given:
Step 3: Calculate the total heat required. The total heat () is the sum of the heat required for melting and the heat required for temperature increase.
The correct option is C.
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Calculate the heat required to melt 10 g of ice at 0^ to water at 0^. The formula for heat absorbed during a phase change (melting) is Q_1 = mL_f.
This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.