Gas Expansion in insulated cylinder (piston & Diaphragm)

In summary, the conversation discusses two expansion cases involving an insulated cylinder divided by a separating element - diaphragm for case A and piston for case B. Case A involves a thin diaphragm that is suddenly removed, resulting in a free expansion process. Case B involves a piston that is allowed to move without friction, resulting in an irreversible free expansion process. The final pressure for case A can be determined using the simple equation P1*V1=P2*V2, while the final pressure for case B is more complex and depends on the work done by the gas on the surroundings. It is noted that the final pressure in case B will be lower than in case A due to the work done on the surroundings. The conversation also discusses
  • #36
It is generally bad when one symbol means more than one thing, as is the case with your symbols labeled with "f". Your conclusion is correct, however.

I do not think it is possible to obtain final temperature/pressure in case B without making additional assumptions on the process.
 
<h2>1. What is gas expansion in an insulated cylinder?</h2><p>Gas expansion in an insulated cylinder refers to the process in which the volume of a gas increases due to an increase in temperature or a decrease in pressure. This expansion occurs within a closed system, such as a cylinder with a piston or diaphragm, and is isolated from the surrounding environment by insulation.</p><h2>2. How does gas expansion in an insulated cylinder occur?</h2><p>Gas expansion in an insulated cylinder occurs when the gas particles gain kinetic energy, causing them to move faster and collide with the walls of the cylinder with more force. This results in an increase in pressure and an expansion of the gas volume.</p><h2>3. What is the purpose of using an insulated cylinder for gas expansion?</h2><p>The purpose of using an insulated cylinder for gas expansion is to prevent heat exchange between the gas and its surroundings. This allows for more accurate measurements of the gas expansion and helps maintain a constant temperature and pressure within the system.</p><h2>4. How does the piston or diaphragm affect gas expansion in an insulated cylinder?</h2><p>The piston or diaphragm in an insulated cylinder acts as a barrier that separates the gas from its surroundings and allows for the measurement of the gas expansion. As the gas expands, the piston or diaphragm moves, indicating the change in volume of the gas.</p><h2>5. What factors can affect gas expansion in an insulated cylinder?</h2><p>The main factors that can affect gas expansion in an insulated cylinder are temperature, pressure, and volume. Changes in any of these factors can result in a change in the volume of the gas and the overall behavior of the system.</p>

1. What is gas expansion in an insulated cylinder?

Gas expansion in an insulated cylinder refers to the process in which the volume of a gas increases due to an increase in temperature or a decrease in pressure. This expansion occurs within a closed system, such as a cylinder with a piston or diaphragm, and is isolated from the surrounding environment by insulation.

2. How does gas expansion in an insulated cylinder occur?

Gas expansion in an insulated cylinder occurs when the gas particles gain kinetic energy, causing them to move faster and collide with the walls of the cylinder with more force. This results in an increase in pressure and an expansion of the gas volume.

3. What is the purpose of using an insulated cylinder for gas expansion?

The purpose of using an insulated cylinder for gas expansion is to prevent heat exchange between the gas and its surroundings. This allows for more accurate measurements of the gas expansion and helps maintain a constant temperature and pressure within the system.

4. How does the piston or diaphragm affect gas expansion in an insulated cylinder?

The piston or diaphragm in an insulated cylinder acts as a barrier that separates the gas from its surroundings and allows for the measurement of the gas expansion. As the gas expands, the piston or diaphragm moves, indicating the change in volume of the gas.

5. What factors can affect gas expansion in an insulated cylinder?

The main factors that can affect gas expansion in an insulated cylinder are temperature, pressure, and volume. Changes in any of these factors can result in a change in the volume of the gas and the overall behavior of the system.

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