An aqueous solution of H 2 S is added to an aqueous solution of NaOH and a reaction occurs. 3.7x10 -
4 mol of OH –1 ions are measured in the 550mL solution, calculate the number of moles of H 3 O +1 ions.
Remember, Molarity = mol/L. Calculate the concentration of the H + ions. Is the solution more acidic
or basic?
Solution:
Molarity = Moles / Liters of solution
Moles of OH− ions = 3.7×10−4 mol
Liters of solution = (550 mL) × (1 L / 1000 mL) = 0.55 L
Therefore,
[OH−] = (3.7×10−4 mol) / (0.55 L) = 6.73×10−4 M
We can convert between [OH−] and pOH using the following equations:
pOH = −log[OH−]
pOH = −log(6.73×10−4) = 3.17
pOH = 3.17
For any aqueous solution at 25∘C:
pH + pOH = 14
pH = 14 − pOH = 14 − 3.17 = 10.83
pH = 10.83
Any solution that has a pH greater than 7 is considered basic
We can convert between pH and [H+] using the following equations:
[H+] = 10−pH
[H+] = 10−10.83 = 1.48×10−11
[H+] = 1.48×10−11 M
H+ = H3O+
[H3O+] = [H+] = 1.48×10−11 M
Moles of H3O+ ions = [H3O+] × Liters of solution
Moles of H3O+ ions = (1.48×10−11 M) × (0.55 L) = 8.14×10−12 mol
Moles of H3O+ ions = 8.14×10−12 mol
Answer:
The number of moles of H3O+ ions is 8.14×10−12 mol
The concentration of hydrogen ions (H+) is 1.48×10−11 M
The solution is basic
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