High School

Q20. A metal block has a mass of 2.7 kg. The metal of the block has a specific heat capacity of 900 J/kg°C. In 2 minutes and 30 seconds, the temperature rises from 21°C to 39°C. Calculate the power of the heater.

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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