Irreversible Adiabatic Expansion (Physical Chemistry)

AI Thread Summary
The discussion focuses on calculating the final temperature of an ideal monatomic gas undergoing irreversible adiabatic expansion. Given the initial conditions of pressure and temperature, the user needs to determine the change in temperature (ΔT) but is initially unsure how to find the change in volume (ΔV). The solution involves using the ideal gas law to express the final volume in terms of the final temperature and substituting this into the equation for ΔT. After rearranging and solving the resulting equation, the final temperature can be determined. The process requires careful algebraic manipulation to isolate the final temperature.
djh101
Messages
158
Reaction score
5

Homework Statement


Consider the adiabatic expansion of .553mol of an ideal monatomic gas with CV,m = 3R/2. The initial state is described by P = 6.25bar and T = 306K. Calculate the final temperature if the same gas undergoes an adiabatic expansion against an external pressure of P = 1.25bar to a final pressure P = 1.25bar.


Homework Equations


CVΔT = -PextΔV


The Attempt at a Solution


I need to find ΔT. P, V, and T are all variables, though, so I can't find ΔT because I don't know ΔV. What do I do?
 
Physics news on Phys.org
Use the ideal gas law to express the final volume algebraically in terms of the final temperature. Substitute this into your equation. The final temperature will be on both sides of the resulting equation. Collect terms involving the final temperature, and solve for it.
 
A little bit of annoying algebra, but I got it. Thank you very much.
 

Thread 'Prove that evolution is constant (Provide at least two arguments to support your position)'

I don't get how to argue it. i can prove: evolution is the ability to adapt, whether it's progression or regression from some point of view, so if evolution is not constant then animal generations couldn`t stay alive for a big amount of time because when climate is changing this generations die. but they dont. so evolution is constant. but its not an argument, right? how to fing arguments when i only prove it.. analytically, i guess it called that (this is indirectly related to biology, im...
View full post »

Similar threads

Chemistry A few questions on an irreversible adiabatic expansion of an ideal gas
Replies
1
Views
2K
Chemistry Calculation of thermodynamic variables for irreversible adiabatic process of ideal gas
Replies
9
Views
2K
Chemistry Derivations in adiabatic process for ideal gas with C_V and C_P
Replies
1
Views
2K
Chemistry No heat exchange with the surroundings in an irreversible expansion of an ideal gas?
Replies
4
Views
2K
Chemistry What does the differential of U mean in an irreversible process?
Replies
11
Views
2K
Entropy change in a irreversible adiabatic process
Replies
7
Views
10K
Chemistry How to explain the difference between recompression of ideal gas reversibly and irreversibly after initial irreversible expansion?
Replies
5
Views
2K
Work and Volume in Adiabatic Expansion
Replies
11
Views
3K
I Irreversible adiabatic processes & entropy change (clarification needed)
Replies
22
Views
5K
Is the Gas Expansion Reversible or Irreversible?
Replies
2
Views
2K

Hot Threads

Recent Insights

Back
Top