Which of the following would require the most thermal energy?Heating 500 g cube of cheese from 40 °C to 50 °C.Heating 500 g cube of cheese from 25 °C to 30 °C.Heating 500 g cube of cheese from 20 °C to 35 °C.Heating 500 g cube of cheese from 30 °C to 50 °C.
Question
Which of the following would require the most thermal energy?Heating 500 g cube of cheese from 40 °C to 50 °C.Heating 500 g cube of cheese from 25 °C to 30 °C.Heating 500 g cube of cheese from 20 °C to 35 °C.Heating 500 g cube of cheese from 30 °C to 50 °C.
Solution
The amount of thermal energy required to heat an object is determined by the formula Q = mcΔT, where Q is the thermal energy, m is the mass, c is the specific heat capacity, and ΔT is the change in temperature.
In this case, the mass and the specific heat capacity of the cheese are constant, so the amount of thermal energy required depends solely on the change in temperature.
Here are the temperature changes for each option:
- Heating from 40 °C to 50 °C: ΔT = 50 - 40 = 10 °C
- Heating from 25 °C to 30 °C: ΔT = 30 - 25 = 5 °C
- Heating from 20 °C to 35 °C: ΔT = 35 - 20 = 15 °C
- Heating from 30 °C to 50 °C: ΔT = 50 - 30 = 20 °C
Therefore, heating the 500 g cube of cheese from 30 °C to 50 °C would require the most thermal energy because it has the largest temperature change.
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