What is the efficiency of this reversible engine?

In summary, the problem involves a reversible engine with 0.5 mol of an ideal monatomic gas, operating using a cycle consisting of constant volume and constant pressure segments. The efficiency of the cycle is 13.8%, and the work done by the engine in one cycle is not equal to the output work used to find efficiency.
  • #1
GeorgeCostanz
31
0

Homework Statement



A reversible engine contains 0.5 mol of an ideal monatomic gas and operates using a cycle, similar to that shown in Fig. 19.21 on page 324 of the textbook, consisting of constant volume and constant pressure segments. (You will need to draw your own diagram using the data that follow.)

Starting at the lower left corner, the first part of the cycle goes from 1.62 atm to 2.75 atm at a constant volume of 0.00255 m3. Next, we have an isobaric expansion (at 2.75 atm) from 0.00255 m3 to 0.00578 m3. In the third segment of the cycle, the pressure falls from 2.75 atm to 1.62 atm at a constant volume of 0.00578 m3, while the final part of the cycle is an isobaric compression (at 1.62 atm) to 0.00255 m3.

(a) Determine the efficiency for this cycle. Give your answer as a percentage (do not enter units).

(b) How much work is done by this engine in one cycle?

Homework Equations



efficiency = work(out)/Q(in)

The Attempt at a Solution



I sketched my PV diagram and worked the problem out completely. I got e = 13.8% which was right.

Part b asked for work done by the engine in one cycle. Isn't that just work(out) which I used to find efficiency? Apparently not because it's not accepting that answer.

Any help would be appreciated, thanks
 
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  • #2
GeorgeCostanz said:
Part b asked for work done by the engine in one cycle. Isn't that just work(out) which I used to find efficiency? Apparently not because it's not accepting that answer.

Any help would be appreciated, thanks
What was your answer for the output work?

AM
 
  • #3
w(out) was .0036499

Q(in) was .0265285
 

Related to What is the efficiency of this reversible engine?

1. What is a heat engine?

A heat engine is a device that converts thermal energy into mechanical work. It operates on the principles of thermodynamics, specifically the first and second laws of thermodynamics.

2. What is the efficiency of a heat engine?

The efficiency of a heat engine is the ratio of the work output to the heat input. It is represented by the symbol eta (η) and is always less than 1, as some energy is always lost in the conversion process.

3. How is the efficiency of a heat engine calculated?

The efficiency of a heat engine is calculated using the formula: η = W/Qh, where W is the work output and Qh is the heat input. This formula is known as the Carnot efficiency and represents the maximum possible efficiency for a heat engine operating between two temperatures.

4. What factors affect the efficiency of a heat engine?

The efficiency of a heat engine is affected by various factors, including the operating temperature, the type of fuel used, the design and construction of the engine, and any external factors such as friction and heat loss.

5. How can the efficiency of a heat engine be improved?

The efficiency of a heat engine can be improved by increasing the operating temperature, using more efficient fuels, reducing friction and heat loss, and optimizing the design and construction of the engine. Additionally, regular maintenance and tuning can also help improve efficiency.

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