An engine absorbs 2000J of heat from a hot reservoir and expels 750J to a cold reservoir during each operating cycle. What is the power output of the engine if each cycle lasts for 0.5 seconds?

2500W

To calculate the power output of the engine, we need to use the formula for power, which is defined as the rate at which work is done or energy is transferred. It can be calculated using the equation:

Power = Energy transferred / Time

Given that the engine absorbs 2000J of heat and expels 750J of heat during each operating cycle, we need to determine the net energy transferred.

Net Energy Transferred = Energy absorbed - Energy expelled

Net Energy Transferred = 2000J - 750J

Net Energy Transferred = 1250J

Since the cycle lasts for 0.5 seconds, we can now calculate the power output of the engine by dividing the net energy transferred by the time:

Power = Net Energy Transferred / Time

Power = 1250J / 0.5s

Power = 2500W

Therefore, the power output of the engine is 2500 Watts.