Respuesta :
Answer:
A: [H⁺] = 2.4 × 10⁻¹¹ M
B: [H⁺] = 1.2 × 10⁻⁶ M
C: [H⁺] = 1.0 × 10⁻⁸ M
D: A and C are basic and B is acid.
Explanation:
Part A: Calculate [H⁺] for [OH⁻] = 4.1×10⁻⁴ M.
We know the ion-product of water Kw is:
Kw = 1.0 × 10⁻¹⁴ = [H⁺].[OH⁻]
Then,
[tex][H^{+} ]=\frac{K_{w}}{[OH^{-} ]} =\frac{1.0\times 10^{-14} }{4.1\times 10^{-4}} =2.4\times10^{-11} M[/tex]
Part B: Calculate [H⁺] for [OH⁻] = 8.5×10⁻⁹ M.
Kw = 1.0 × 10⁻¹⁴ = [H⁺].[OH⁻]
[tex][H^{+} ]=\frac{K_{w}}{[OH^{-} ]} =\frac{1.0\times 10^{-14} }{8.5\times 10^{-9}} =1.2\times10^{-6} M[/tex]
Part C: Calculate [H⁺] for a solution in which [OH⁻] is 100 times greater than [H⁺].
We know that [OH⁻] = 100 . [H⁺]. If we replace this in the ion-product of water:
Kw = 1.0 × 10⁻¹⁴ = [H⁺].[OH⁻]
1.0 × 10⁻¹⁴ = [H⁺]. 100. [H⁺]
1.0 × 10⁻¹⁴ = 100 . [H⁺]²
1.0 × 10⁻¹⁶ = [H⁺]²
[H⁺] = √1.0 × 10⁻¹⁶ = 1.0 × 10⁻⁸ M
Part D: Indicate whether the solution is acidic, basic, or neutral.
A solution is acid when [H⁺] > 10⁻⁷ M, basic when [H⁺] < 10⁻⁷ M and neutral when [H⁺] = 10⁻⁷M. So A and C are basic and B is acid.
The correct options to the following are:
A. [tex]\rm [H_+] = 2.4 \times 10^-^1^1 M[/tex]
B. [tex]\rm [H^+] = 1.2 \times 10^-^6 M[/tex]
C. [tex]\rm [H^+] = 1.0 \times 10^-^8M[/tex]
D. A and C are basic and B is acid.
What is pH?
The full form of pH is potential hydrogen. pH tells about the acidity and basicity of any liquid.
A. Calculate[tex][H^+] for [OH^-] = 4.1\times10^-^4 M.[/tex]
The ion-product of water Kw is,
Kw = [tex]1.0 \times 10^-^1^4 = [H^+].[OH^-][/tex]
[tex]\rm H^+ = \dfrac{Kw}{[OH^-]} \\\\\\ H^+ =\dfrac{1.0 \times 10^-^1^4 }{[4.1\times10^-^4 M]} = 2.4 \times 10^-^1^1 M[/tex]
B. Calculate[tex][H^+] for [OH^-] = 8.5\times10^-^9 M.[/tex]
Kw = [tex]1.0 \times 10^-^1^4 = [H^+].[OH^-][/tex]
[tex]\rm H^+ = \dfrac{Kw}{[OH^-]} \\\\\\ H^+ =\dfrac{1.0 \times 10^-^1^4 }{[ 8.5 \times 10^-^9]} = 1.2 \times 10^-^6 M[/tex]
C. Calculating the [H⁺] of a solution in which [OH⁻] is 100 times greater than [H⁺] expression.
Kw = [tex]1.0 \times 10^-^1^4 = [H^+].[OH^-][/tex]
[tex]1.0 \times 10^-^1^4= [H^+]. 100. [H^+]\\\\1.0 \times 10^-^1^6= 100. [H^+]^2\\\\\\[H^+] = \sqrt{1.0 \times 10^-^1^6} = 1.0 \times 10^-^8 M[/tex]
D. Indicate whether the solution is acidic, basic, or neutral.
A solution is acid when [H⁺] > 10⁻⁷ M
Basic when [H⁺] < 10⁻⁷ M and
Neutral when [H⁺] = 10⁻⁷M.
So, A and C are basic and B is acidic.
Thus, A. [tex]\rm [H_+] = 2.4 \times 10^-^1^1 M[/tex]
B. [tex]\rm [H^+] = 1.2 \times 10^-^6 M[/tex]
C. [tex]\rm [H^+] = 1.0 \times 10^-^8M[/tex]
D. A and C are basic and B is acid.
Learn more about ph, here:
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