Hi can someone advise whether my methodology is right on this

Question

Hi can someone advise whether my methodology is right on this

with a potential energy of 589 kJ per tonne, 100 tonnes of water per second are delivered to a turbine. Assuming all the potential energy of this water is used to drive the turbine how much power will be delivered to the turbine

589 kJ x 100 tonnes per second = 58900 kj per second

Convert to watts (1 watt = 1 joule per second)

58900 kJ per second = 58900 kW

Convert kilowatts to megawatts

58900 kW /1000

59 MW to 2 significant figures

Thanks

Mark

Answer 1

Yes, correct. YOu can do the same thing in the Google Calculator:

Put this in your google search window

589kJ/tonne * 100 tonnes/second in megawatts

Nice

Answer 2

Cheers bob

thats a great piece of kit.

Mark

Answer 3

Your methodology is correct in determining the power delivered to the turbine. Let's go through it step by step to ensure understanding:

1. Calculate the potential energy of the water per second:
- Given: potential energy = 589 kJ per tonne
- Amount of water per second = 100 tonnes
- Total potential energy = 589 kJ/tonne x 100 tonnes = 58900 kJ/s

2. Convert the potential energy to watts:
- 1 watt = 1 joule per second
- So, 58900 kJ/s can be converted to kW (kilowatts) by dividing by 1000:
58900 kJ/s = 58900 kW

3. Convert kilowatts to megawatts:
- 1 megawatt = 1000 kilowatts
- Dividing 58900 kW by 1000 gives the power in megawatts:
58900 kW / 1000 = 59 MW

Therefore, the correct answer is that 59 MW (megawatts) of power will be delivered to the turbine when 100 tonnes of water per second, with a potential energy of 589 kJ per tonne, is used.