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Reading Two Heating Curves That Cross 4 questions

Reading Two Heating Curves That Cross

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A classroom model heats two solid samples. Neither changes phase. Each receives energy from its heater at 10 J per minute, and each loses negligible energy to the surroundings. The graph records the temperature of each sample. The heat capacity of a sample is the energy required to raise that entire sample by 1 °C.

At 0, 2, 4, 6, and 8 minutes, sample A is at 18, 22, 26, 30, and 34 °C, and sample B is at 24, 26, 28, 30, and 32 °C.
Temperature records for samples A and B.
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Question 1

At which recorded time do the two samples have the same temperature?

  1. 2 min
  2. 4 min
  3. 6 min
  4. 8 min

Question 2

Use the first six minutes of the graph to compare the average temperature increase per minute for the two samples.

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Question 3

At six minutes the samples have the same temperature. Explain why their temperature changes and the energy supplied show that B has the greater heat capacity.

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The class repeats the test with B. It changes the rate of energy transfer from B’s heater while keeping the sample and the other conditions the same.

Question 4

What heater energy transfer rate would make B warm at the same rate that A warmed in the first test? Show your reasoning.

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