Calculate the equilibrium constant Kc for the reaction at this temperature

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SUMMARY

The equilibrium constant Kc for the reaction H2 + I2 -> 2HI can be calculated using the initial masses of H2 and I2 and the equilibrium mass of HI. The molar concentrations were determined as 0.104 M for both H2 and I2, and 0.193 M for HI. The calculated Kc value was 662, while the correct value is 764. The discrepancy may arise from the use of significant figures or incorrect assumptions in the ICE table method.

PREREQUISITES
  • Understanding of stoichiometry in chemical reactions
  • Knowledge of the ICE (Initial, Change, Equilibrium) table method
  • Familiarity with calculating molarity from mass and volume
  • Ability to apply the equilibrium constant expression Kc = [products]^coefficients / [reactants]^coefficients
NEXT STEPS
  • Learn how to construct and utilize ICE tables for equilibrium calculations
  • Study the concept of significant figures in chemical calculations
  • Explore the relationship between stoichiometry and equilibrium constants
  • Practice calculating equilibrium constants for various chemical reactions
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Chemistry students, educators, and anyone involved in chemical equilibrium calculations will benefit from this discussion.

ahhppull
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Homework Statement



H2 + I2 -> 2HI

A reaction mixture in a 3.67 L flask at a certain temperature initially contains 0.763 g H2 and 96.9 g I2. At equilibrium, the flask contains 90.4 g HI.

Calculate the equilibrium constant Kc for the reaction at this temperature.

Homework Equations


The Attempt at a Solution



I used the ICE chart to try and solve this.

First, I divided the grams of each substance by the molar mass of the compound, and divide it by 3.67 L to get molarity.

.763g H2 / 2 g / 3.67 = .104 M
96.9g I2 / (126.9x2) /3.67 = .104 M
90.4 HI / (126.9 + 1) / 3.67 = .193 M

In my ICE chart, I'm solving for x because .193 M is the concentration at equilibrium. Since [HI] is 0 initially, I found x to be .0965. I subtracted this number from the concentration of H2 and I2 to get its concentration at equilibrium.

Then I used the rate law k = [product]^2/[reactants]

(.193^2)/(.0075^2)

and my answer comes out to be 662

(CORRECT ANSWER IN BOOK IS 764)
 
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No idea how you used ICE table here. This is a simple stoichiometry.
 


Borek said:
No idea how you used ICE table here. This is a simple stoichiometry.

How would you use stoich? I'm given 2 initial mass and 1 equalibrium mass..
 


Use equilibrium mass to calculate how much of the initial reacted - that will let you calculate how much was left unreacted.

This is not much different from using ICE table, after all, ICE table is just a simple of way of tracing stoichiometry. But, ICE table is used to construct reaction quotient using unknown concentrations expressed in terms of x, and I don't see how you can solve for x if you don't know Kc value. Unless you used ICE table but solved just for stoichiometry in some twisted way.

Shwo details of your work.
 
I still don't know how to do this problem, so I would be really happy is someone showed the work for this problem.

I solved for x by assuming that initial concentration of HI is 0 because it has not been formed yet. The change would be .193 M and since there's 2 moles, x is actually .0965.
 
ahhppull said:
I solved for x

I asked you to show your work. I have no idea what x is nor how you solved for it, so I can't help you.

And no, nobody will show you how to solve the question. We can help you solve it on your own.
 
Thanks...I got it but I'm just a bit off. Maybe due to my sig figs.
 

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