Question

A. In one year, a commercial wind turbine produces enough electricity to power 1,927 households. The average household consumes 3,300 kWh of electricity. How many megawatts of electricity does a wind turbine produce? (1000 kWh = 1 megawatt)

a. 6.366 MW
b. 6.927 MW
c. 6.198 MW
d. 5.827 MW

B. Peter buys a small wind turbine for use on his farm. It generates 13,000 kWh of electricity in the first year. He uses 7,570 kWh of electricity and sells the remaining kWh to his energy suppliers. He receives £412.68 for the electricity he sells. How much does he get for each kWh he produces?

a. £0.022
b. £0.032
c. £0.026
d. £0.042

Answer 1

A commercial wind turbine produces 6.366 MW of electricity, and Peter receives £0.032 for each kWh he produces.

Step-by-step explanation:

In one year, a commercial wind turbine produces enough electricity to power 1,927 households. Since the average household consumes 3,300 kWh of electricity, we can calculate the total electricity produced by the wind turbine by multiplying the number of households by the average household consumption:

Total electricity produced = 1,927 households * 3,300 kWh/household

To convert this to megawatts (MW), we divide the total electricity produced by 1,000 kWh:

Total electricity produced in MW = (1,927 households * 3,300 kWh/household) / 1,000 kWh/MW

Calculating this gives us an answer of 6.366 MW, so the correct option is a. 6.366 MW.

Peter generates 13,000 kWh of electricity from his wind turbine. He uses 7,570 kWh and sells the remaining electricity to his energy suppliers for £412.68. To determine the price per kWh, we divide the total amount received (£412.68) by the amount of electricity sold (13,000 kWh):

Price per kWh = £412.68 / 13,000 kWh

Calculating this gives us an answer of £0.0318, which is closest to option b. £0.032.