A 1500-w heater is connected to a 120-v line. how much heat energy does it produce in 2.0 hours?

1500-W heater is connected to a 120-V line for 2.0 hours.How much heat energy is produced? A) 1.5 kJ B) 11 MJ C) 0.18 MJ D) 3.0 kJ

Answer

General guidance

Concepts and reason
The concept required to solve this problem is the relation between the power, heat consumed, time for which the heater works. First, Convert the hours to seconds for which the heater works. Then, multiply the time to power to get the value of heat energy produced by the heater.

Fundamentals

The relation between the power required by the heater and heat produced by the heater is given as follows: Q = P1 Here, Q is the heat produced by the heater, P is the power consumed by the heater, and t is the time for which heater runs.

Step-by-step

Step 1 of 2

Calculate the time for which the heater works in seconds is given as follows: 1=(2.0 hours) ( 1605)
= 7200 s Therefore, the heater works for 7200 s.

The time is converted to seconds. So that, it compatible with units of power, which is Watt .

Step 2 of 2

Calculate the heat energy produced by the heater as follows: Q = P1 Substitute 1500 W for P and 7200 s for t in the above-mentioned equation. Q=(1500 W)(7200 s)( ***
= (10.8x1043)(10MJ)
=10.8 MJ
11 MJ

Therefore, correct answer is option-B) 11 MJ.

The correct answer is option-B) 11 MJ.


The Heat produced by the heater is product of power used by the heater and time for which the heater runs.

Answer

The correct answer is option-B) 11 MJ.

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