Each insulated beaker contains equal amounts of the same fluid. The starting temperature of beaker A was 100.0 degrees Celsius and the starting temperature of beaker B was 0 degrees Celsius. At 5 minutes, the temperature of Beaker A was 82 and the temperature of Beaker B was 18. Assuming no heat was lost, what is the best estimate for the temperature of each beaker at 10 minutes?
Question
Answer:
Correct Answer: B. Beaker A will be 72 °C and beaker B will be 28 °C.
This one is actually right!
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If we are to say that no heat was lost, we would have to write this down as a absolute function.
Beaker A lost 18 degrees in the span of 5 minutes (100 – 82) and Beaker B gained 18 degrees in the span of 5 minutes.
This is where the problem gets tricky, because we have no second value for the second line of the function, though I doubt this question is that complicated.
Now, what we do is we subtract 18 degrees from Beaker A, again, since 10 – 5 minutes is 5 minutes. We then add 18 degrees to Beaker B.
Answer:
Beaker A: 64° (82 – 18)
Beaker B: 36° (18 + 18)