Answer:
The power plant produces approximately 24,713,760,000,000,000 joules of energy in a year.
Step-by-step explanation:
To calculate the energy produced in a year, we need to know the number of seconds in a year and convert it into joules using the power produced by the power plant.
There are 60 seconds in a minute, 60 minutes in an hour, and 24 hours in a day. Thus, there are 60 x 60 x 24 = 86,400 seconds in a day.
A year consists of 365 days, so there are 365 x 86,400 = 31,536,000 seconds in a year.
Now, to calculate the energy produced in joules, we use the formula:
Energy (Joules) = Power (Watts) x Time (Seconds)
Given that the power plant produces 785 MW (Megawatts) of power, we need to convert it to watts by multiplying by 10^6:
785 MW = 785 x 10^6 W = 785,000,000 W
Now we can calculate the energy produced annually:
Energy (Joules) = 785,000,000 W x 31,536,000 seconds
Performing the multiplication, the energy produced by the power plant in a year is:
Energy (Joules) = 24,713,760,000,000,000 J
Therefore, the power plant produces approximately 24,713,760,000,000,000 joules of energy in a year.