Question

A large electrical power station generates 1000 MW of electricity with an efficiency of 35.0%.

(a) Calculate the heat transfer to the power station, Qh, in one day.
a) 2.43 × 10¹4 J
b) 2.58 × 10¹4 J
c) 2.73 × 10¹4 J
d) 2.88 × 10¹4 J

Answer 1

The heat transfer to the power station in one day is 2.43 x 10^14 J

Step-by-step explanation:

To calculate the heat transfer to the power station, we first need to find the energy input to the power station. The efficiency of the power station is given as 35%, which means only 35% of the input energy is converted into useful work.

The energy input to the power station can be calculated using the formula:

Energy input = Energy output / Efficiency

Given that the power station generates 1000 MW of electricity, which is equivalent to 1000 million watts, the energy output is 1000 million x 1 day = 1 x 10^9 watt x 24 x 60 x 60 seconds (since there are 24 hours, 60 minutes, and 60 seconds in a day).

Substituting the values into the formula, we get:

Energy input = (1 x 10^9 watt x 24 x 60 x 60 seconds) / 0.35

Simplifying the equation gives:

Energy input = 2.43 x 10^14 J