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?

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.