The pH scale is used in chemistry to describe how acidic a solution is.

Question

The equation p(t) = − log(t) can be used to model the pH of a solution,
where t represents the hydronium ion concentration, in moles per liter
(mol/L), and p(t) represents the pH.
What is the approximate hydronium ion concentration for a solution with
a pH of 1.4?
A) 0.0398 mol/L
B) 0.1461 mol/L
C) 0.2466 mol/L
D) 25.1189 mol/L

Answer 1

To find the hydronium ion concentration \( t \) for a solution with a pH of 1.4, we can use the equation given:

\[ p(t) = -\log(t) \]

Rearranging this equation to solve for \( t \) gives:

\[ t = 10^{-p(t)} \]

Now we can substitute \( p(t) = 1.4 \):

\[ t = 10^{-1.4} \]

Calculating \( 10^{-1.4} \):

\[ t \approx 0.0398 \text{ mol/L} \]

Thus, the approximate hydronium ion concentration for a solution with a pH of 1.4 is:

A) 0.0398 mol/L