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20 August, 07:19

A capacity of wind farm is 3 gigawatts (GW). Assuming that the power plant can operate at full capacity for 5,000 hrs/yr, how many kWh of electricity can be produced by the plant in one year?

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  1. 20 August, 07:25
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    1.5x10^10 KWh

    Explanation:

    Data obtained from the question include:

    Power (P) = 3GW

    We need to convert 3 gigawatts (GW) to Kilowatts (KW) in order to obtain the desired result. This is illustrated below:

    1 GW = 1x10^6 KW

    Therefore, 3 GW = 3x10^6 KW

    Time (t) = 5000 hrs/yr

    Energy (E) = ?

    Power is simply the amount of energy transferred per unit time. It can be expressed mathematically as:

    Power (P) = Energy (E) / Time (t)

    P = E/t

    Applying the above formula, we can calculate the energy in kWh of electricity that can be produced by the plant in one year. This is illustrated below:

    P = E/t

    3x10^6 KW = E / 5000 hrs/yr

    Cross multiply to express in linear form as shown below:

    E = 3x10^6 KW x 5000 hrs/yr

    E = 1.5x10^10 KWh

    Therefore, 1.5x10^10 KWh of electricity can be produced by the plant in one year.
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