ice box approximation

nshahwan 1L
Posts: 100
Joined: Fri Aug 30, 2019 12:18 am

ice box approximation

When using an ice box, should you always use the approximation method where x additions are removed first? In other words, how can you tell when or when not to use the quadratic equation? Toolbox 5I.1 explains this, but I don't understand it in their words.

Sally Qiu 2E
Posts: 105
Joined: Fri Aug 30, 2019 12:18 am

Re: ice box approximation

if the K value is less than 10^-3, then you can assume x is very small relative to the initial concentration. this makes sense when you think about the formula for K (the concentration of reactants is much greater than that of products). if this is the case, you can disregard the x (that is subtracted from the reactant)

Astrid Lunde 1I
Posts: 103
Joined: Sat Sep 07, 2019 12:16 am

Re: ice box approximation

If the K value is less than 10^-3 then you can approximate and there is not need for the quadratic formula.

anjali41
Posts: 109
Joined: Fri Aug 09, 2019 12:15 am

Re: ice box approximation

Approximation is okay when the K value is less than 10^-3. To check if your approximation was appropriate at the end of the problem, you can calculate the percent ionization. If this percent is less than 5%, approximation was acceptable.

Charlene Datu 2E
Posts: 62
Joined: Wed Sep 11, 2019 12:16 am

Re: ice box approximation

anjali41 wrote:Approximation is okay when the K value is less than 10^-3. To check if your approximation was appropriate at the end of the problem, you can calculate the percent ionization. If this percent is less than 5%, approximation was acceptable.

Just in case you need the equation for percent ionization, it's [H+ at equilibrium]/[initial concentration of acid] x 100%

205291012
Posts: 50
Joined: Mon Nov 11, 2019 12:17 am

Re: ice box approximation

Use approximation when value of K is less than 10^-3. Always verify your answer by plugging the concentrations to check if you still get the same K. My TA recommended using the quadratic equation every time just to be safe.

Jainam Shah 4I
Posts: 130
Joined: Fri Aug 30, 2019 12:16 am

Re: ice box approximation

When K is less than 10^-3 it essentially means that the acid or base dependent on the given problem is so weak that it barely disassociates. So any protonation or deprotonation can be ignored and we can approximate x to be a small value and ignore it in either the Ka or Kb expression calculation.

Sebastian Lee 1L
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Joined: Fri Aug 09, 2019 12:15 am
Been upvoted: 1 time

Re: ice box approximation

Again, in addition to the small (<10-3) approximation, you can find the percent ionization to test if you can use the approximation. If the percent ionization is less than 5%, your approximation is acceptable. Remember that to find percent ionization, you take the equilibrium concentration of the conjugate acid/base and divide it by the initial concentration of the base/acid, then multiply by 100%. This 5% rule should make sense because if the equilibrium concentration of the conjugate is smaller than 5% of the initial base/acid concentration, there was little dissociation and the equilibrium concentration of the base/acid is about the same.

nshahwan 1L
Posts: 100
Joined: Fri Aug 30, 2019 12:18 am

Re: ice box approximation

Thank you all so much! I found a much better explanation of this rule in chapter 6 as well.

KHowe_1D
Posts: 103
Joined: Thu Jul 25, 2019 12:15 am
Been upvoted: 1 time

Re: ice box approximation

when x is less than 10^-3 it can be assumed to be small and disregarded from the denominator.