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A 50-g chunk of 80°C iron is dropped into a cavity in a

Chapter 9, Problem 5P

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QUESTION:

A 50-g chunk of 80°C iron is dropped into a cavity in a very large block of ice at 0°C. Show that 5.5 g of ice will melt. (The specific heat capacity of iron is 0.11 cal/g°C.)

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QUESTION:

A 50-g chunk of 80°C iron is dropped into a cavity in a very large block of ice at 0°C. Show that 5.5 g of ice will melt. (The specific heat capacity of iron is 0.11 cal/g°C.)

ANSWER:

Solution 5P Introduction Since the ice chunk is very large, some of the ice will melt and the whole system will come down to the 0°C temperature. Solution Step 1 Heat released by the iron block is given by Q iron= miron iron iron……….(1) Where m ironis the mass of the temperatureironis the specific heat of the iron anironis the change in temperature. Here we know that m iron= 50 g ciron= 0.11 cal/g°C Spte 2 Since the

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