Heat Engine Carnot Efficiency question

In summary, for a heat engine with a Carnot efficiency of 0.11, the internal energy used to do 5.1 x 10^4 joules of work is 412636 joules. The heat given off/exhausted by the engine is also 412636 joules. The relationship between work, heat, and efficiency is described by the equation Q=W+(change in)U and the value of Q can be found by using the formula for thermal efficiency.
  • #1
DrDonaldDuck
13
0

Homework Statement


A heat engine has a carnot efficiency of 0.11. How much internal energy does this engine use in order to do 5.1 x 10^4 joules of work? How much heat does this engine give off/exhaust?

Homework Equations


(change in)U=Q-W
W=(change in)E
 
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  • #2
You need to post your attempt.

How does W and Q relate to the efficiency?
 
  • #3
rock.freak667 said:
You need to post your attempt.

How does W and Q relate to the efficiency?

W is the work done and Q is the heat generated. U is the total internal energy. No idea how to do this, hence my non-existent attempt.
 
  • #4
Still stumped and don't know how to attack problem!
 
  • #5
Someone PLEASE help?!? Growing very desperate here.
EDIT:
I think I got it.
Internal energy=412636J, exhaust heat is the same. So sleepy, please confirm.
 
Last edited:
  • #6
Look up 'thermal efficiency', that will tell you how Q and W are related to the efficiency n.

When you know that you can get the value of Q and subsquently U.
 

1. What is a heat engine Carnot efficiency?

The Carnot efficiency is the maximum possible efficiency that a heat engine can have, and it is based on the principles of thermodynamics. It represents the ratio of the work output to the heat input of a heat engine.

2. How is the Carnot efficiency calculated?

The Carnot efficiency is calculated by dividing the temperature difference between the hot and cold reservoirs by the temperature of the hot reservoir. The equation for Carnot efficiency is: Efficiency = 1 - (TC/TH), where TC is the cold reservoir temperature and TH is the hot reservoir temperature.

3. What is the significance of the Carnot efficiency?

The Carnot efficiency is significant because it sets a theoretical limit for the efficiency of any heat engine. It helps us understand the maximum possible efficiency that can be achieved and provides a benchmark for comparing the efficiencies of real heat engines.

4. Are there any real heat engines that have a Carnot efficiency?

No, there are no real heat engines that have a Carnot efficiency. The Carnot efficiency is a theoretical ideal and it is impossible to achieve in real life due to various factors such as friction, heat loss, and imperfections in the engine design.

5. How can the Carnot efficiency be improved?

The Carnot efficiency can be improved by reducing the temperature difference between the hot and cold reservoirs, and by increasing the temperature of the hot reservoir. This can be achieved by using more efficient engine designs and by improving insulation to reduce heat loss.

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