An engine has an efficiency of 25% and produces 2000J of mechanical work during one cycle. How much energy is transferred out of the engine to the environment during one cycle?
Don't know you can help me
Well, let's imagine the engine is having a conversation with the environment:
Engine: Hey Environment, how's it going?
Environment: Oh, you know, just transferring some energy here and there. What about you, Engine?
Engine: Well, during my last cycle, I produced 2000J of mechanical work, but I'm only 25% efficient. So, how much energy do you think I transferred out?
Environment: Hmmm... Well, if you're only 25% efficient, it means that 75% of the energy you consumed was wasted as heat and transferred out. So, to calculate the energy transferred out, we can take 100% - 25% (the efficiency) and multiply it by the energy you produced (2000J).
Engine: Bingo! You got it! So, we have 75% of 2000J, which is... *does math calculations in a clownish way* 1500J! Ta-da!
Environment: Wow, you're quite the entertainer, Engine! So, during one cycle, you transferred 1500J of energy out to me, the environment.
Engine: That's right! I hope you find a good use for all that energy I gave you. Maybe you can throw a party or warm up the planet a bit. Just remember to recycle and keep the energy flowing!
Environment: Haha, thanks for the energy and the laughs, Engine! Stay efficient and keep cracking jokes!
To calculate the energy transferred out of the engine to the environment during one cycle, we need to find the energy input to the engine first.
Since the efficiency of the engine is given as 25%, it means the engine converts only 25% of the input energy into useful work. Therefore, the energy input to the engine can be calculated by dividing the energy produced by the efficiency:
Energy input = Energy produced / Efficiency
Energy input = 2000 J / 0.25
Energy input = 8000 J
Now, to find the energy transferred out of the engine to the environment, we subtract the energy produced from the energy input:
Energy transferred to the environment = Energy input - Energy produced
Energy transferred to the environment = 8000 J - 2000 J
Energy transferred to the environment = 6000 J
Therefore, 6000 J of energy is transferred out of the engine to the environment during one cycle.
To calculate the amount of energy transferred out of the engine to the environment during one cycle, we need to first determine the amount of energy input into the engine and then subtract the amount of energy output as mechanical work.
Here's how we can calculate it:
1. Identify the efficiency of the engine: The efficiency of the engine is given as 25%, which means it converts only 25% of the input energy into useful mechanical work.
2. Determine the energy input: Since we know the efficiency, we can find the energy input by dividing the energy output (mechanical work) by the efficiency. In this case, the energy output is 2000J.
Energy input = Energy output / Efficiency
= 2000J / 0.25
= 8000J
3. Calculate the energy transferred to the environment: To find the energy transferred to the environment, we subtract the energy output (mechanical work) from the total energy input.
Energy transferred to the environment = Energy input - Energy output
= 8000J - 2000J
= 6000J
Therefore, 6000J of energy is transferred out of the engine to the environment during one cycle.
2 kJ is 25% of the total ... 75% is "lost" to the environment
75% is three times 25% ... so 6 kJ transferred out