Calculate the [H3O+] of each aqueous solution with the following [OH-]:
orange juice, 6.5 x 10^-11 M
Express your answer to two significant figures and include the appropriate Units
To find the [H3O+], we can use the equation for the ion product of water:
Kw = [OH-][H3O+]
Where Kw is the ion product constant of water, which is 1.0 x 10^-14 at 25 degrees Celsius.
To find the [H3O+], we can rearrange the equation:
[H3O+] = Kw / [OH-]
Let's calculate the [H3O+] for orange juice:
[OH-] = 6.5 x 10^-11 M
[H3O+] = (1.0 x 10^-14) / (6.5 x 10^-11)
[H3O+] ≈ 1.5 x 10^-4 M
Therefore, the [H3O+] of orange juice is approximately 1.5 x 10^-4 M.
To calculate the [H3O+] from the [OH-] concentration in an aqueous solution, we can use the ion product of water (Kw), which is the product of the [H3O+] and [OH-] concentrations.
In neutral water, the [H3O+] and [OH-] concentrations are equal, so we can use the equation:
Kw = [H3O+][OH-] = 1.0 x 10^-14
In this case, we are given the [OH-] concentration in orange juice as 6.5 x 10^-11 M.
Let's solve for [H3O+]:
[H3O+][6.5 x 10^-11 M] = 1.0 x 10^-14
[H3O+] = (1.0 x 10^-14) / (6.5 x 10^-11 M)
[H3O+] ≈ 1.5 x 10^-4 M
Therefore, the [H3O+] of the orange juice solution is approximately 1.5 x 10^-4 M.
To calculate the [H3O+] from the given [OH-] in an aqueous solution, you can use the relation between the hydroxide ion concentration ([OH-]) and the hydronium ion concentration ([H3O+]). In water, these two concentrations are inversely related by the equation:
[OH-] x [H3O+] = 1.0 x 10^-14 M^2
Using this equation, you can solve for [H3O+] with the given [OH-] value for orange juice, which is 6.5 x 10^-11 M.
Step 1: Write down the given information:
[OH-] = 6.5 x 10^-11 M
Step 2: Use the relation between [OH-] and [H3O+] to calculate [H3O+]:
[OH-] x [H3O+] = 1.0 x 10^-14 M^2
[H3O+] = (1.0 x 10^-14 M^2) / [OH-]
Substituting the given values:
[H3O+] = (1.0 x 10^-14 M^2) / (6.5 x 10^-11 M)
Step 3: Perform the calculation:
[H3O+] = 1.0 x 10^-14 M^2 ÷ 6.5 x 10^-11 M
[H3O+] = 1.54 x 10^-4 M
Step 4: Express the answer to two significant figures with appropriate units:
[H3O+] = 1.5 x 10^-4 M (rounded to two significant figures)
Therefore, the [H3O+] of the orange juice solution with a [OH-] of 6.5 x 10^-11 M is 1.5 x 10^-4 M.