Why is cooling the gas necessary for efficient heat engines?

In summary, by heating a gas in a cylinder, you can allow it to expand against a piston while maintaining a constant temperature. The energy added as heat goes into the PV work of the gas against the piston. To start the process again, the piston must be pushed back to the starting point and the gas must be compressed. It is necessary to cool the gas first before compressing it back to its original state with less work, as not doing so would result in a different state with a higher pressure and temperature. This is because the initial work was done by the gas itself, gaining kinetic energy which forced the piston to move. In a heat engine, a large portion of the energy is lost as hot gas out of the exhaust,
  • #1
gkangelexa
81
1
By heating a gas inside a cylinder, you allow it to expand against a piston while maintaining a constant temperature.
The energy that you add as heat goes into the PV work of the gas against the piston.

To start again, you have to push the piston back to the start point, compress the gas.

My book says that "we must cool the gas first before it can be compressed to its original state with less work than was gained"

Why must the gas be cooled first?

It's slightly confusing..
 
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  • #2
As the process is not irreversible so we have to cooled down the gas in order to get the energy cosnt.
 
  • #3
Well, think about it, if you do not cool it down and only attempt to compress it, you will end up at a different state...at the initial volume but hotter gas (and higher pressure) and so, you would have done more work...if you want to go through the same process but in reverse, then you need to take heat out of the gas, since what you did before was to put heat into the gas
 
  • #4
In a car engine (internal combustion), you put fresh, cool air in every time. In a Stirling Engine (External combustion), the same air is used repeatedly and needs to be cooled to repeat the cycle.
 
  • #5
You NEED to cool the gas because the initial work was done by the gas itself. It was heated up and gained kinetic energy which forced the piston to move. Imagine an internal combustion engine in your car. The hot air is forced out through the exhaust valve and cool air is drawn in from the intake valve. The total amount of air doesn't change between the hot and the cold air, but the hot air would take much more work to compress again, as you would have to do work against the higher energy of the hot gas. (Plus it doesn't have any more O2 anyways)
 
  • #6
Drakkith said:
It was heated up and gained kinetic energy which forced the piston to move.

When you explain it like that, it makes sense, but doesn't all the heat we put in the gas go into the work of moving the piston.

I thought the success in a heat engine was adding heat and allowing the piston to move so that all the heat goes into doing work, meaning the temperature stays constant...
 
  • #7
gkangelexa said:
When you explain it like that, it makes sense, but doesn't all the heat we put in the gas go into the work of moving the piston.

I thought the success in a heat engine was adding heat and allowing the piston to move so that all the heat goes into doing work, meaning the temperature stays constant...

No, a large portion of the energy is simply lost as hot gas out of your exhaust. If the gas did not retain heat then we wouldn't need cooling for the engine and your exhaust would never be hot!

Realize that the piston and walls contain the gas as it heats up. So when the gas is heated by the burning of the fuel a lot of this energy is given to the walls of the cylinder and the piston itself as heat.
 
  • #8
If all the heat went into mechanical energy, the engine would be 100% efficient. In fact, the thermodynamic efficiency relates to the temperature range that the engine operates over.
 

1. What is a heat engine?

A heat engine is a device that converts thermal energy into mechanical energy. It typically involves the transfer of heat from a hot source to a cooler sink, resulting in the production of work.

2. How does a heat engine cool the gas?

A heat engine cools the gas by using the energy from the hot source to do work on the gas, causing it to expand and lose thermal energy. This expansion results in a decrease in temperature, which can then be used for various purposes.

3. What are the main components of a heat engine?

The main components of a heat engine are a hot source, a cooler sink, a working substance (such as a gas), and a mechanism to convert the thermal energy into mechanical energy (such as a piston or turbine).

4. What is the Carnot efficiency of a heat engine?

The Carnot efficiency is the maximum theoretical efficiency that a heat engine can achieve when operating between two temperature extremes. It is equal to 1 - (Tcold/Thot), where Tcold is the temperature of the cooler sink and Thot is the temperature of the hot source.

5. How is the performance of a heat engine measured?

The performance of a heat engine is typically measured by its efficiency, which is the ratio of the work output to the heat input. It can also be measured by the power output, which is the rate at which work is produced. The higher the efficiency and power output, the better the performance of the heat engine.

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