Question

Vinegar has a pH of 3 and milk has a pH of 5. Based on these pH values, how does the hydronium-ion concentration in vinegar compare to that in milk?

options:

Vinegar has one-third the concentration of hydronium ions
Vinegar has 1000 times the concentration of hydronium ions.
Vinegar has 3 times the concentration of hydronium ions.
Vinegar has 100 times the concentration of hydronium ions.

Answer 1

Answer:

Vinegar has 3 times the concentration of hydronium ions

Step-by-step explanation:

Answer 2

Vinegar Has 100 Times The Concentration Of Hydronium Ions

GIVEN

the pH of vinegar = 3

the pH of milk = 5

TO FIND

Comparison of the hydronium ion concentration in vintage to that in milk.

SOLUTION

We can simply solve the above problem as follows

We know that the pH of a substance can be calculated as the negative log of the hydronium ion concentration.

$pH = - log_{10} (H₃O⁺)$

So,

(H₃O⁺) = 10⁻ᵖᴴ

Now,

pH of vinegar = 3

Hydronium ion concentration will be -

Vinegar(H₃O⁺) = 1 × 10⁻³ ML⁻¹

pH of milk = 5

Hydronium concentration will be -

Milk (H₃O⁺) = 1 × 10⁻⁵ ML⁻¹

Comparing the Concentration of H₃O⁺ ions =

$\frac{ 1 \times {10}^{ - 3} }{1 \times {10}^{ - 5} } = 100$

This implies that Vinegar has 100 times the concentration of hydronium ions

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