Work Done by Gas: Pexternal*dV?

In summary, the work done by expanding gas against a constant external pressure is Pexternal*dV. However, the force generated inside the container should be used to calculate this, not the external pressure. The work done by the gas on the piston is determined by the internal pressure and involves the force exerted by the gas on the piston.
  • #1
suli
3
0
if gas in a container expands against a constant external pressure,
the work done by it is Pexternal*dV.
but the force is generated inside the container, shouldn't we use Pgas to calculate the answer?
 
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  • #2
You are mistaken (unless you have stated the problem incorrectly). The work done by the expanding gas would be

[tex]W = \int p dV[/tex] over the range from v1 to v2 and p would be the internal pressure.
 
  • #3
The piston is exerted upon by two pressures, one from the atmosphere or other gas (if any) and the second from the gas inside the chamber. The work done by the gas on the piston comes from the definition of work done by a force. This should solve your problem. Work done by a gas would obviously involve then, the force exerted BY the gas on the piston.
 

1. What is meant by "work done by gas"?

Work done by gas refers to the process of a gas expanding and performing work on its surroundings. This can occur when a gas is compressed or expands against a piston, for example.

2. What is Pexternal*dV?

Pexternal*dV, also known as the external pressure times the change in volume, is a mathematical representation of the work done by gas. It takes into account the force exerted by the gas and the change in volume of the gas.

3. How is work done by gas calculated?

Work done by gas can be calculated by multiplying the external pressure (Pexternal) by the change in volume (dV). This equation can be written as W=Pexternal*dV.

4. What are some real-life examples of work done by gas?

Some real-life examples of work done by gas include the expansion of a gas in a balloon, the compression of air in a car engine, and the expansion of steam in a steam engine. In each of these cases, the gas is performing work on its surroundings.

5. How is work done by gas related to the laws of thermodynamics?

The concept of work done by gas is closely related to the first law of thermodynamics, which states that energy cannot be created or destroyed, only transferred or converted. In the case of work done by gas, the energy of the gas is converted into work as it expands or compresses. The second law of thermodynamics also plays a role, as it states that in any energy transfer or conversion, some energy is lost as heat. In the case of work done by gas, some of the energy of the gas is lost as heat to the surroundings.

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