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Chemistry Forums for Students => High School Chemistry Forum => Topic started by: Rutherford on April 03, 2012, 12:26:28 PM

Title: Equilibrium issue
Post by: Rutherford on April 03, 2012, 12:26:28 PM
How many percents of iodine will dissociate on 1273K if the density of iodine vapors toward hydrogen in this temperature is 92?
How can I calculate it without the Keq? How to use the density towards hydrogen? 92*2=184g of I2?
Title: Re: Equilibrium issue
Post by: Olympiad_Tutor on April 03, 2012, 01:13:03 PM
can you get density out of PV=nRT?

what's relative density?
Title: Re: Equilibrium issue
Post by: Rutherford on April 03, 2012, 02:01:46 PM
p=mRT/(MV)
m/V=d
p=dRT/V
What to do now? What is that relative density?
Title: Re: Equilibrium issue
Post by: Olympiad_Tutor on April 04, 2012, 03:09:26 PM
relative density here is 184.

since we are chemists we want to deal with moles and molar masses.

what exactly does density(I2)/density(H2) mean in this case?
Title: Re: Equilibrium issue
Post by: Rutherford on April 05, 2012, 07:42:44 AM
Don't have a clue. I only know that it is 92. Could you explain it more clearly?
Title: Re: Equilibrium issue
Post by: Olympiad_Tutor on April 05, 2012, 10:07:12 AM
i am sorry. i meant the relative density is 92 as per your problem.

you need to plug that in and focus on mollar mass ratios.
Title: Re: Equilibrium issue
Post by: Rutherford on April 05, 2012, 10:23:52 AM
density(I2)/density(H2)=92
m(I2)/M(H2)=92
m(I2)=92*2=184
So, what to do now?
Title: Re: Equilibrium issue
Post by: Olympiad_Tutor on April 05, 2012, 12:20:33 PM
what's the molar mass of I2. what's the molar mass of your mixture? why are they different?
Title: Re: Equilibrium issue
Post by: Rutherford on April 05, 2012, 12:38:54 PM
Hard for me to understand because I never done similar problems before and I there is no explanation in my book.Is this right:
The mass of the mixture is 184g, and the molar mass of I2 is 254g, so 70g dissociated?
Title: Re: Equilibrium issue
Post by: Olympiad_Tutor on April 05, 2012, 05:37:32 PM
write the equation of dissociation, come up with the formula for the average weight: we started with 1 mole, x moles dissociated, etc.

the average weight of the mixture is dependent on x, so is Keq.

what's your formula for the average weight of your mixture?
Title: Re: Equilibrium issue
Post by: Rutherford on April 06, 2012, 07:20:56 AM
 I2 ::equil:: 2I
1-x      2x
[m(I2)+m(2I)]/2=... is this 184?
Title: Re: Equilibrium issue
Post by: Olympiad_Tutor on April 07, 2012, 01:22:55 AM
we have 6 apples 80 g. each and 8 apples 60 g. each, what's the average weight of an apple?
Title: Re: Equilibrium issue
Post by: Rutherford on April 07, 2012, 03:40:13 AM
10.42g?
How to use it here?
I2 ::equil:: 2I
1-x      2x
[m(I2)+m(2I)]/2=... is this 184?
Why is this wrong?
Title: Re: Equilibrium issue
Post by: Olympiad_Tutor on April 19, 2012, 12:58:39 PM
how can it be 10.42 g.? the smallest apple weights 60 g.
it is a good idea to check if the answer makes sense.


>>>[m(I2)+m(2I)]/2=... is this 184?

why do you divide by 2? you will get the same value regardless of the degree of dissociation. how is it useful for anything?
Title: Re: Equilibrium issue
Post by: Rutherford on April 20, 2012, 10:57:33 AM
The average weight is of an apple is 70g. Could you please write how to solve this?
Title: Re: Equilibrium issue
Post by: AWK on April 20, 2012, 12:08:49 PM
Since densities of gases are proportional to their molecular masses
then the mean molecular mass of iodine vapors is 184. Molecular mass concerns 1 mole hence
254x+(1-x)127=184
where x is a number of moles of molecular iodine present in 1 mole of iodine vapors.
I hope from this you can easily calculate % of thermal dissociation of iodine in this temperature which is ~ 60%.
Title: Re: Equilibrium issue
Post by: Rutherford on April 20, 2012, 12:29:10 PM
Got 44.89%, but the right answer is 37.93%.
Title: Re: Equilibrium issue
Post by: AWK on April 21, 2012, 04:59:07 PM
x - moles of undissociated I2
(1-x)/2 - moles of dissociated iodine
x+(1-x)/2 = (1+x)/2 - moles of iodine in account
((1-x)/2)/((1+x)/2)=(1-x)/(1+x) - thermal dissociation degree (times 100 if in %)
And result should be done with 2 significant digits (previously I gave an aproximate percent of undissociated part of iodine)
Title: Re: Equilibrium issue
Post by: Rutherford on June 10, 2012, 04:09:24 AM
Still, can't figure out this:
I2 ::equil:: 2I
x-y     2y

x-y=184/254
x-y=0.724? 2 unkowns.
Title: Re: Equilibrium issue
Post by: Borek on June 10, 2012, 04:45:20 AM
Pure molecular iodine I2 has a molar mass of 253.8 g/mol, so its vapor density relative to H2 is 126.9.

100% dissociated iodine is I and has a molar mass of 126.9 g/mol, so its vapor density relative to H2 is 63.45.

You are told density of the mixture (relative to H2) is 92. This is enough to calculate exact composition of the mixture.

This is a simple application of the Avogadro's law.
Title: Re: Equilibrium issue
Post by: Rutherford on June 10, 2012, 08:41:48 AM
126.9x+63.45y=92
x+y=1
From here x=0.45, y=0.55 so it is 55% but it isn't the right answer. Where I've mistaken?
Title: Re: Equilibrium issue
Post by: Borek on June 10, 2012, 12:51:48 PM
126.9x+63.45y=92
x+y=1
From here x=0.45, y=0.55 so it is 55%

No, it is not 55% from these numbers. You are asked about what fraction of iodine dissociated, not what is molar fraction of I.
Title: Re: Equilibrium issue
Post by: Rutherford on June 10, 2012, 01:24:19 PM
I never done equilibrium+vapor density, don't understand how to calculate without Keq.
Still, can't figure out this:
I2 ::equil:: 2I
x-y     2y

x-y=184/254
x-y=0.724? 2 unkowns.
Is it: 126.9(x-y)+63.45*2y=92 where I have to calculate y?
Title: Re: Equilibrium issue
Post by: Borek on June 10, 2012, 02:43:03 PM
Stop whining what you don't know, start to think how to apply what you do know. Keq is not necessary to solve the problem.

If you have 1 mole of a I2/I mixture, and you know there is 0.45 mole of I2 and 0.55 mole of I, how much I2 was there initially?
Title: Re: Equilibrium issue
Post by: Rutherford on June 10, 2012, 02:52:57 PM
0.45+0.55/2=0.725mol of I2
0.725-0.45=0.275mol that dissociated
0.275/0.725=37.93%
Got it now, thanks for the help.