This geography problem is solved step by step below, with detailed explanations to help you understand the method and arrive at the correct answer.

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Answer
Step 1: Calculate the mass of cold water.
Step 2: Calculate the mass of hot water.
Step 3: Set up the heat balance equation (heat lost by hot water equals heat gained by cold water).
where , , .
Step 4: Substitute the known values ( cancels out).
Step 5: Expand both sides.
Step 6: Add to both sides.
Step 7: Solve for .
Step 8: Calculate heat lost by hot water.
Step 9: Calculate heat gained by cold water.
Final temperature of the mixture:
Heat lost by hot water:
Heat gained by cold water:
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Calculate the mass of cold water. m_c = 25~mL × 1~gmL = 25~g Step 2: Calculate the mass of hot water.
This geography problem is solved step by step below, with detailed explanations to help you understand the method and arrive at the correct answer.