Ideal gas undergoes cycle process

In summary, the conversation discusses a cycle process of an ideal gas, which is represented by a P-V graph. The upper graph shows linear relations between temperature and pressure, resulting in constant volume and vertical lines on the graph. The lower graph is not a correct representation of the process, as it does not show these linear relations.
  • #1
b_andries
13
0
Hi,

An amount of ideal gas undergoes the folowing cycle process in the following graph:

attachment.php?attachmentid=33655&stc=1&d=1301348391.jpg


This process can be presented by the following PV-graph :
attachment.php?attachmentid=33656&stc=1&d=1301348391.jpg


The answer has to be the upper graph but why can't it be the lower graph ?
Thank you!
 

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  • #2
An ideal gas has: p V = n R T

That is: V = n R T / p

As you can see in the upper graph there are linear relations between T and p, meaning V must be constant, resulting in vertical lines in the p-V-graph.
Note that the diagonal lines in the upper graph can be extended to intersect the axes at the origin.
 

What is an ideal gas?

An ideal gas is a theoretical gas that is composed of randomly moving particles that do not interact with each other. This means that there are no intermolecular forces between the gas particles.

What is a cycle process for an ideal gas?

A cycle process for an ideal gas is a series of thermodynamic processes that bring the gas back to its original state. This can include processes such as isothermal, adiabatic, and isobaric processes.

What is the ideal gas law?

The ideal gas law is a mathematical equation that describes the relationship between pressure, volume, temperature, and the number of moles of an ideal gas. It is represented as PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the gas constant, and T is temperature.

How do you calculate the work done by an ideal gas in a cycle process?

The work done by an ideal gas in a cycle process is calculated by finding the area under the curve on a pressure-volume (PV) diagram. This can be done using integration or by dividing the area into smaller rectangles and summing their areas.

What is the significance of studying ideal gas undergoing cycle process?

Studying ideal gas undergoing cycle process allows us to understand how energy is transferred and transformed within a gas. It also helps us understand the relationship between pressure, volume, and temperature in different thermodynamic processes. This knowledge is essential in many fields, including engineering, chemistry, and physics.

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