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Answer :
Final answer:
To calculate the power of the heater, use the formula Q = mcΔT to determine the heat transferred and divide it by the time to get the power. The power of the heater is 291.6 W.
Explanation:
To calculate the power of the heater, we first need to determine the amount of heat transferred. The formula to calculate heat transfer is Q = mcΔT, where Q is the heat transferred, m is the mass, c is the specific heat capacity, and ΔT is the change in temperature. In this case, the temperature change is 39°C - 21°C = 18°C. Plugging in the values, we get Q = (2.7 kg)(900 J/kg °C)(18°C) = 43,740 J. To calculate the power, we divide the energy transferred by the time, which is (43,740 J)/(150 s) = 291.6 W.
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