What is the pH of 0.1 M ammonia solution if Ka for the ammonium ion is 5.62 x 10-10 and Kw = 10-14?

##p”H” = 11.13##

The idea here is to use the ammonium ion’s acid dissociation constant, ##K_a##, to find the value of ammonia’s base dissociation constant, ##K_b##.

The relationship between the base dissocaition constant, the acid dissociation constant, and water’s self-ionization constant, ##K_W##, is given by the equation

##K_W = K_a xx K_b##

In your case, the base dissociation constant of ammonia will be

##K_b = K_W/K_a = 10^(-14)/(5.62 * 10^(-10)) = 1.78 * 10^(-5)##

To determine the of the solution, you first need to know the ##p”OH”## of the solution, which in turn requires the cocnentration of hydroxide ions, ##”OH”^(-)##.

Ammonia will react with water to form ammonium and hydroxide ions. Use an ICE table to determine the equilibrium concentration of hydroxide ions

##”NH”_text(3(aq]) ” “+” ” “H”_2″O”_text((l]) ” “rightleftharpoons” ” “NH”_text(4(aq])^(+) ” “+” ” “OH”_text((aq])^(-)##

##color(purple)(“I”)” ” ” ” 0.1″ ” ” ” ” ” ” ” ” ” ” ” ” ” ” ” ” ” ” “0” ” ” ” ” ” ” ” ” ” ” “0##
##color(purple)(“C”)” ” color(white)(x)-x” ” ” ” ” ” ” ” ” ” ” ” ” ” ” ” ” “(+x)” ” ” ” ” ” ” ” “(+x)##
##color(purple)(“E”)” ” color(white)(x)0.1-x” ” ” ” ” ” ” ” ” ” ” ” ” ” ” “color(white)(xx)x” ” ” ” ” ” ” ” ” “color(white)(x)x##

By definition, the base dissociation constant will be

##K_b = ([“NH”_4^(+)] * [“OH”^(-)])/([“NH”_3]) = (x * x)/(0.1 – x)##

Because the value of ##K_b## is so small, you can say that

##(0.1 – x) ~~ 0.1##

This means that you have

##K_b = x^2/0.1 = 1.78 * 10^(-5)##

##x = sqrt(0.1 * 1.78 * 10^(-5)) = 0.001334##

This means that you have

##[“OH”^(-)] = x = “0.001334 M”##

The ##p”OH”## of the solution will be

##p”OH” = -log([“OH”^(-)])##

##p”OH” = -log(0.001334) = 2.87##

The pH of the solution will thus be

##p”H” = 14 – p”OH” = 14 – 2.87 = color(green)(11.13)##







Calculate Your Essay Price
(550 words)

Approximate price: $22

Calculate the price of your order

550 words
We'll send you the first draft for approval by September 11, 2018 at 10:52 AM
Total price:
$26
The price is based on these factors:
Academic level
Number of pages
Urgency
Basic features
  • Free title page and bibliography
  • Unlimited revisions
  • Plagiarism-free guarantee
  • Money-back guarantee
  • 24/7 support
On-demand options
  • Writer’s samples
  • Part-by-part delivery
  • Overnight delivery
  • Copies of used sources
  • Expert Proofreading
Paper format
  • 275 words per page
  • 12 pt Arial/Times New Roman
  • Double line spacing
  • Any citation style (APA, MLA, Chicago/Turabian, Harvard)

Our guarantees

Delivering a high-quality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.

Money-back guarantee

You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.

Read more

Zero-plagiarism guarantee

Each paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.

Read more

Free-revision policy

Thanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.

Read more

Privacy policy

Your email is safe, as we store it according to international data protection rules. Your bank details are secure, as we use only reliable payment systems.

Read more

Fair-cooperation guarantee

By sending us your money, you buy the service we provide. Check out our terms and conditions if you prefer business talks to be laid out in official language.

Read more

Order your essay today and save 10% with the coupon code: best10