What is the degree of dissociation?

Click For Summary

Discussion Overview

The discussion revolves around the calculation of the degree of dissociation of SO3 into SO2 and O2 at a specific temperature and pressure. Participants are attempting to solve a homework problem involving the application of gas laws and molecular weight calculations.

Discussion Character

  • Homework-related

Main Points Raised

  • One participant presents a method to calculate the average molecular weight of the equilibrium mixture using the formula PM=DRT, where D is the density.
  • Another participant requests more details about the initial participant's work to understand the calculations better.
  • A third participant provides their calculation for the average molecular weight, indicating a formula involving mole fractions and molar masses, but expresses confusion over arriving at an unexpected result.
  • Some participants suggest checking the calculations for errors, with one asserting that they have solved the equation correctly and obtained the expected answer.
  • There is a brief acknowledgment of assistance from one participant to another regarding the solution.

Areas of Agreement / Disagreement

The discussion reflects disagreement regarding the correctness of the calculations and the equations used, with some participants confident in their results while others express uncertainty and confusion.

Contextual Notes

Participants have not resolved the discrepancies in their calculations, and there are indications of potential misunderstandings in the application of equations related to the problem.

zorro
Messages
1,378
Reaction score
0

Homework Statement



At 627 C and 1 atm pressure, SO3 partially dissociated into SO2 and O2 by SO3--->SO2 +1/2O2. The density of equilibrium mixture is 0.925g/L. What is the degree of dissociation?

Homework Equations





The Attempt at a Solution



I found out the average molecular weight of the mixture by the formula PM=DRT
where D is the density.

Then, average molecular weight = sum of product of mole fractions and molar mass
moles at equilibrium-
SO3- 1-x
SO2- x
O2- x/2

But I did not get correct answer.
The answer is 0.34
Please provide a detailed explanation
 
Physics news on Phys.org
Show more details of your work.
 
M= DRT/P
M=0.925 x 0.0821 x 900/1= 68.3

this average molecular weight = [80(1-x) + 64x + 32(x/2)] / (1+x/2)
solving this I am getting absurd answer.
 
Check your math.
 
I checked it again. But no error in math. I guess some equations are wrong.
 
Check your check then, I have solved your equation and got the correct answer.
 
Last edited by a moderator:
Oh yes. Thanks a lot.
 

Similar threads

  • · Replies 4 ·
Replies
4
Views
3K
Replies
1
Views
2K
  • · Replies 79 ·
3
Replies
79
Views
9K
  • · Replies 10 ·
Replies
10
Views
5K
Replies
3
Views
2K
  • · Replies 3 ·
Replies
3
Views
4K
Replies
3
Views
2K
Replies
2
Views
3K
Replies
3
Views
5K
  • · Replies 3 ·
Replies
3
Views
3K