Just as no mechanical device can be 100% efficient, no heat engine can transfer 100% of its heat to a single object. Some of the heat energy must be wasted (released into the environment). We have a heat engine that produces 150 J of heat, does 40 J of work, and emits 110 J into another system. What is the efficiency of the heat engine? Show your work.

Question

Just as no mechanical device can be 100% efficient, no heat engine can transfer 100% of its heat to a single object. Some of the heat energy must be wasted (released into the environment). We have a heat engine that produces 150 J of heat, does 40 J of work, and emits 110 J into another system. What is the efficiency of the heat engine? Show your work.

I can't figure out how to answer this! Can someone please help me?! Thank you so much!! Please don't give me the answer, just help me find it!

Answer 1

%Eff. = Output/Input * 100% = 40/150 * 100% =

Answer 2

To find the efficiency of a heat engine, we need to use the formula:

Efficiency = (Useful work output / Heat input) x 100%

In this case,
Useful work output = 40 J
Heat input = 150 J

Let's substitute these values into the formula:

Efficiency = (40 J / 150 J) x 100%

Now, we can calculate the efficiency:

Efficiency = (4/15) x 100%

To simplify this fraction, we can multiply the numerator and denominator by 5:

Efficiency = (4/15) x (5/5) x 100%
= (20/75) x 100%

Simplifying further:

Efficiency = 26.67%

Therefore, the efficiency of the heat engine is approximately 26.67%.

Answer 3

Of course! I can help you find the answer by guiding you through the steps. The efficiency of a heat engine can be calculated using the equation:

Efficiency = (Useful Work Output) / (Heat Input)

In this case, the useful work output is given as 40 J, and the heat input is the sum of the heat produced and the heat emitted into another system. So, we need to find the total heat input.

To calculate the total heat input, we can use the fact that the heat engine produces 150 J of heat and emits 110 J into another system. Therefore, the total heat input is the sum of these two quantities:

Total Heat Input = Heat Produced + Heat Emitted
= 150 J + 110 J

Now that we know the useful work output (40 J) and the total heat input (150 J + 110 J), we can substitute these values into the efficiency equation and solve for the efficiency of the heat engine.

Efficiency = (Useful Work Output) / (Heat Input)
= 40 J / (150 J + 110 J)

To calculate the efficiency, perform the addition in the denominator and divide the numerator by the resulting sum. This will give you the efficiency of the heat engine as a decimal or a percentage.

I hope this explanation helps you understand how to find the efficiency of a heat engine! Let me know if you need further assistance.