Max Temp in Ideal Gas Transformation: 2490K

In summary, the problem involves an ideal gas undergoing a transformation under the law p=p_0-aV, with known values for p_0 and a. The goal is to determine the maximum temperature of the gas during this transformation, with options provided for the answer. The equation \frac{pV}{T}=ct is relevant to the solution, and the number of moles of the gas may also be needed for a numerical value of Tmax.
  • #1
KingAntikrist
15
0
Again, it's a translation, i don't know if it's 100% accurate in english

Homework Statement



An ideal gas suffers a transformation under the law [itex]p=p_0-aV, p_0=10^5 Pa, a=\frac{10^6}{8,3} \frac{Pa}{m^3}[/itex]. The maximum temperature on this transformation is: ...

A) 2450 K
B) 2500 K
C) can't be calculated (THIS IS NOT THE ANSWER)
D) 2480 K
E) 2490 K
F) 2460 K

Homework Equations



[itex]\frac{pV}{T}= ct[/itex]

The Attempt at a Solution



The attempt? Nill...not even my physics teacher could solve this (private lesson with him). And i really don't have any ideea...

That [itex]aV[/itex] is actually another pressure...
 
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  • #2
Substitute p(V) from the equation to the ideal gas equation to obtain T(V). For V>0, find max(T) :smile:

EDIT: I think the number of moles of the gas must be given for a numerical value of Tmax.
 
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Related to Max Temp in Ideal Gas Transformation: 2490K

1. What is the significance of the max temperature in ideal gas transformation?

The max temperature in ideal gas transformation, also known as the critical temperature, is the temperature at which a gas cannot be liquefied by increasing pressure alone. It is a defining characteristic of a gas and helps determine its behavior under different conditions.

2. How is the max temperature in ideal gas transformation calculated?

The max temperature in ideal gas transformation is calculated using the Van der Waals equation, which takes into account the intermolecular forces and volume of the gas particles. It also depends on the specific gas and its critical pressure and volume.

3. What happens to a gas when it reaches its max temperature in ideal gas transformation?

When a gas reaches its max temperature in ideal gas transformation, it undergoes a phase transition from gas to a supercritical fluid. This means that it exhibits properties of both a gas and a liquid, such as high density and low viscosity.

4. Can the max temperature in ideal gas transformation be exceeded?

No, the max temperature in ideal gas transformation cannot be exceeded for a specific gas. It is a fundamental property of the gas and cannot be changed. However, different gases have different critical temperatures, so it is possible for one gas to have a higher max temperature than another.

5. How does the max temperature in ideal gas transformation affect real gases?

Real gases do not behave exactly like ideal gases, especially at high temperatures and pressures. The max temperature in ideal gas transformation is a theoretical concept and may not accurately apply to real gases. The behavior of real gases may deviate from ideal behavior at and above the critical temperature.

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