Commerically available oven cleaners often use sodium hydroxide (NaOH) as the active ingredient to help remove grease and stains from the inside of an oven. You find an oven cleaner which claims to contain sodium hydroxide at a concentration of 45.06 g/L. What is the pH of this oven cleaner? (to 2 decimal places?) The molar mass of NaOH is 39.997 g/mol.Remember: pH = -log10[H3O+(aq)], pOH = -log10[OH-(aq)] and pH + pOH = 14.00
Question
Commerically available oven cleaners often use sodium hydroxide (NaOH) as the active ingredient to help remove grease and stains from the inside of an oven. You find an oven cleaner which claims to contain sodium hydroxide at a concentration of 45.06 g/L. What is the pH of this oven cleaner? (to 2 decimal places?) The molar mass of NaOH is 39.997 g/mol.Remember: pH = -log10[H3O+(aq)], pOH = -log10[OH-(aq)] and pH + pOH = 14.00
Solution
To find the pH of the oven cleaner, we first need to find the concentration of NaOH in moles per liter (M).
- Convert the concentration from g/L to mol/L.
Given that the molar mass of NaOH is 39.997 g/mol, we can use the formula:
Molarity (M) = mass (g) / molar mass (g/mol)
So, the molarity of NaOH is:
M = 45.06 g/L / 39.997 g/mol = 1.13 M
- Find the pOH.
Since NaOH is a strong base, it will dissociate completely in water to form Na+ and OH- ions. Therefore, the concentration of OH- ions will be the same as the concentration of NaOH, which is 1.13 M.
We can find the pOH using the formula:
pOH = -log10[OH-(aq)]
So, pOH = -log10(1.13) = -0.05
- Find the pH.
We know that pH + pOH = 14.00. So, we can find the pH by subtracting the pOH from 14.00:
pH = 14.00 - pOH = 14.00 - (-0.05) = 14.05
However, since pH cannot be greater than 14, we round down to the maximum possible value, which is 14.00.
So, the pH of the oven cleaner is 14.00.
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