An electric generator coupled to a windmill produces an average electric power of 6 kW. The power is used to charge a storage battery. Heat transfer from the battery to the surroundings is 0.3 kW. What will 1 be the amount of energy stored in the battery in 2 hours?

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  1. 41040 kW
  2.  114 kJ
  3. 11.4 kJ
  4. 41040 kJ

Answer (Detailed Solution Below)

Option 4 : 41040 kJ
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Explanation:

Energy Stored in the Battery

  • The energy stored in a battery refers to the amount of electrical energy that can be accumulated and retained in the battery over a given period, which is later available for use. This is determined by the net power supplied to the battery and the duration of charging.

To determine the energy stored in the battery, the following steps are performed:

The net power supplied to the battery is the generator's power output minus the heat transfer loss to the surroundings.

Net Power = Generator Power - Heat Loss

Net Power = 6 kW - 0.3 kW = 5.7 kW

Energy stored in the battery can be calculated using the formula:

Energy = Net Power × Time

Here, the net power is 5.7 kW, and the time duration is 2 hours.

Energy = 5.7 × 2 = 11.4 kWh

Since 1 kWh = 3600 kJ, the energy stored in kilojoules is:

Energy = 11.4 × 3600 = 41040 kJ

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