Equation of state for an ideal gas

In summary, the Ideal Gas Law, PV=nRT, can only hold true if the gas is in a state of constant pressure, volume, and temperature, and if it behaves as an ideal gas. This means that the gas is composed of separate particles that behave as point masses, with no force exerted between them, and experience elastic collisions. This is also mentioned in many textbooks and course notes on the subject.
  • #1
imy786
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Homework Statement



What condition must the gas be in for this equation to hold true?

Homework Equations





The Attempt at a Solution



the gas has to be in constant pressure and volume and temperaute
 
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  • #2
How about writing the relevant equation?

And what is mentioned in one's textbook or course notes?
 
  • #3
PV= nRT
What condition must the gas be in for this equation to hold true?

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the gas has to be in constant pressure and volume and temperaute
 
  • #4
imy786 said:
PV= nRT
What condition must the gas be in for this equation to hold true?

---------------------------------------------------------------------

the gas has to be in constant pressure and volume and temperaute
Nope, not quite (if P,V and T were always constant what would be the point of the equation...? :tongue2:). When we say an ideal gas, what do we assume about the gas?
 
  • #6
PV=nRT

condtion to be valid:

the gas has to be an ideal gas,

1.gas composed of seprate particles
2.particles behave as point masses
3.point of mass are far apart and do not exert any force


is this correct??
 
  • #7
imy786 said:
PV=nRT

condtion to be valid:

the gas has to be an ideal gas,

1.gas composed of seprate particles
2.particles behave as point masses
3.point of mass are far apart and do not exert any force


is this correct??
Sounds about right to me, but I would add ellastic collisions to that list. :approve:
 

1. What is the equation of state for an ideal gas?

The equation of state for an ideal gas is PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature.

2. What does the equation of state for an ideal gas represent?

The equation of state for an ideal gas represents the relationship between the pressure, volume, temperature, and amount of an ideal gas.

3. What are the assumptions made in an ideal gas equation of state?

The assumptions made in an ideal gas equation of state include that the gas particles have no volume, there are no intermolecular forces between particles, and the collisions between particles are perfectly elastic.

4. How is the ideal gas equation of state derived?

The ideal gas equation of state is derived from the combined gas law, which states that the product of pressure and volume is directly proportional to the product of the amount of gas and temperature, while holding the other variables constant.

5. Can the ideal gas equation of state be applied to real gases?

The ideal gas equation of state is an approximation and can only be applied to real gases under certain conditions, such as low pressure and high temperature. Real gases deviate from ideal behavior at high pressures and low temperatures due to intermolecular forces and the finite size of gas particles.

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