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Multiple Choice
What is the concentration of hydronium ions [H3O+] and hydroxide ions [OH−] in a 0.016 mol L−1 solution of HNO3?
A
[H3O+] = 0.032 M, [OH−] = 3.12 × 10^-13 M
B
[H3O+] = 0.008 M, [OH−] = 1.25 × 10^-7 M
C
[H3O+] = 0.016 M, [OH−] = 1.0 × 10^-14 M
D
[H3O+] = 0.016 M, [OH−] = 6.25 × 10^-13 M
Verified step by step guidance
1
Identify that HNO3 is a strong acid, which means it completely dissociates in water. Therefore, the concentration of hydronium ions [H3O+] will be equal to the initial concentration of HNO3.
Write the dissociation equation for HNO3: HNO3 → H3O+ + NO3−. This shows that each mole of HNO3 produces one mole of H3O+.
Since the concentration of HNO3 is 0.016 mol L−1, the concentration of [H3O+] will also be 0.016 mol L−1.
Use the water dissociation constant (Kw) to find the concentration of hydroxide ions [OH−]. Kw at 25°C is 1.0 × 10^-14. The relationship is given by Kw = [H3O+][OH−].
Substitute the known values into the equation: 1.0 × 10^-14 = (0.016)[OH−]. Solve for [OH−] to find its concentration.