Consider two solutions, solution A and solution B. [H+] in solution A is 500 times greater than that in solution B. what is the difference in the pH values of the two solutions?

Respuesta :

Answer: The difference in the pH values of the two solutions is 2.7

Explanation:

pH or pOH is the measure of acidity or alkalinity of a solution.

pH is calculated by taking negative logarithm of hydrogen ion concentration.

[tex]pH=-\log [H^+][/tex]

a) For solution A, let [tex][H^+][/tex]  = [tex]0.0001\times 500M=0.05M[/tex]

Putting in the values:

[tex]pH=-\log[0.05][/tex]

[tex]pH=1.3[/tex]

b) For solution B, [tex][H^+][/tex]  =[tex]0.0001M[/tex]

Putting in the values:

[tex]pH=-\log[0.0001][/tex]

[tex]pH=4[/tex]

Thus the difference in pH will be (4-1.3)= 2.7.

The difference in the pH values of the two solutions is 2.7

Let the [H+] of solution B be 0.0001 M

Thus,

The [H+] of solution A = 0.0001 × 500 = 0.05 M

  • Next, we shall determine the pH of each solution

For solution A:

Hydrogen ion concentration [H+] = 0.0001 M

pH =?

pH = –Log [H+]

pH = –Log 0.0001

pH = 1.3

For solution B:

Hydrogen ion concentration [H+] = 0.05 M

pH =?

pH = –Log [H+]

pH = –Log 0.05

pH = 4

  • Finally, we shall determine the difference in the pH values of the two solutions

pH of solution A = 1.3

pH of solution B = 4

Difference =?

Difference = 4 – 1.3

Difference = 2.7

Therefore, the difference in the pH values of the two solutions is 2.7

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