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The heating element of a coffeemaker operates at 120 V and carries a current of

ID: 1407638 • Letter: T

Question

The heating element of a coffeemaker operates at 120 V and carries a current of 2.50 A. Assuming the water absorbs all of the energy converted by the resistor, calculate how long it takes to heat 0.590 kg of water from room temperature (23.0°C) to the boiling point. The heating element of a coffeemaker operates at 120 V and carries a current of 2.50 A. Assuming the water absorbs all of the energy converted by the resistor, calculate how long it takes to heat 0.590 kg of water from room temperature (23.0°C) to the boiling point. The heating element of a coffeemaker operates at 120 V and carries a current of 2.50 A. Assuming the water absorbs all of the energy converted by the resistor, calculate how long it takes to heat 0.590 kg of water from room temperature (23.0°C) to the boiling point.

Explanation / Answer


amount of heat reqiured = Q = m*c*dt = 0.59*4190*(100-23)

Q = 190351.7 J

power of the heating element P = v*I = 120*2.5 = 300 W


time taken = t = Q/P = 190351.7/300 = 634.51 s <<<<-------answer