A solution of a weak acid has a pH of \(4.7 .\) What is the hydronium ion concentration?

Short Answer

Expert verified
The hydronium ion concentration is approximately \(2.0 \times 10^{-5} M\).

Step by step solution

01

Understand the pH formula

The formula for pH is \[ pH= - \log[H_3O^+] \] Here, \([H_3O^+]\) represents the hydronium ion concentration.
02

Rearrange the formula for hydronium ion concentration

In order to find the hydronium ion concentration, the formula needs to be rearranged. This gives \([H_3O^+] = 10^{-pH}\)
03

Substitute the given pH value into the formula

Substitute the given pH value into the formula. This gives \([H_3O^+] = 10^{-4.7}\)
04

Calculate the hydronium ion concentration

Perform the calculation to find the value of the hydronium ion concentration, which is \[1.99526231496888 \times 10^{-5} M\]

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