Max Temp in Ideal Gas Transformation: 2490K

  • Thread starter Thread starter KingAntikrist
  • Start date Start date
  • Tags Tags
    Maximum Temperature
Click For Summary
SUMMARY

The forum discussion centers on calculating the maximum temperature (Tmax) of an ideal gas undergoing a transformation defined by the equation p = p0 - aV, where p0 is 10^5 Pa and a = 10^6/8.3 Pa/m³. The maximum temperature options provided include 2450 K, 2500 K, 2480 K, 2490 K, and 2460 K. The correct approach involves substituting pressure into the ideal gas law equation (pV/T = constant) to derive Tmax as a function of volume (V). It is noted that the number of moles of gas is necessary for a definitive numerical solution.

PREREQUISITES
  • Understanding of the ideal gas law (pV/T = constant)
  • Familiarity with thermodynamic transformations
  • Knowledge of pressure-volume relationships in gases
  • Basic algebra for solving equations
NEXT STEPS
  • Study the derivation of the ideal gas law and its applications
  • Learn about thermodynamic processes and transformations
  • Explore how to substitute variables in equations to find maxima
  • Research the significance of the number of moles in gas calculations
USEFUL FOR

Students studying thermodynamics, physics educators, and anyone interested in the properties and behaviors of ideal gases during transformations.

KingAntikrist
Messages
15
Reaction score
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 p=p_0-aV, p_0=10^5 Pa, a=\frac{10^6}{8,3} \frac{Pa}{m^3}. 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



\frac{pV}{T}= ct

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 aV is actually another pressure...
 
Last edited:
Physics news on Phys.org
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.
 
Last edited:

Similar threads

Relationship between pressure & chem potential in ideal gas
  • · Replies 5 ·
Replies
5
Views
2K
Calculate new boiling point with change post-pressure change
  • · Replies 4 ·
Replies
4
Views
2K
Chemistry To determine variables in adiabatic reversible process do we need to look up heat capacity?
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Why is estimation of ##\frac{Pv}{RT}=1+BP+CP^2+...## interesting?
  • · Replies 2 ·
Replies
2
Views
2K
Identical ideal gas in two different volume containers
  • · Replies 7 ·
Replies
7
Views
14K
Chemistry Calculation of thermodynamic variables for irreversible adiabatic process of ideal gas
  • · Replies 9 ·
Replies
9
Views
3K
What Temperature Doubles Atmospheric Pressure?
  • · Replies 2 ·
Replies
2
Views
3K
How Does Mixing Ideal Gases in a Thermally Insulated Cylinder Affect Pressure?
  • · Replies 9 ·
Replies
9
Views
2K
Partition function, Ideal gas, Entropy
  • · Replies 2 ·
Replies
2
Views
3K
Solved: Gas Problem Assignment | Pressure Equalization
  • · Replies 1 ·
Replies
1
Views
2K