College

We appreciate your visit to What is the pH of a solution containing tex 2 3 times 10 2 text mol L tex of tex H tex ions A 2. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

What is the pH of a solution containing [tex]$2.3 \times 10^{-2} \, \text{mol/L}$[/tex] of [tex]$H^{+}$[/tex] ions?

A. -2.3
B. -1.64
C. 2.3
D. 1.64

Answer :

To determine the pH of a solution with a given hydrogen ion concentration, we use the formula

[tex]$$
\text{pH} = -\log_{10}[H^+]
$$[/tex]

where [tex]$[H^+]$[/tex] is the concentration of hydrogen ions in moles per liter.

Given the concentration

[tex]$$
[H^+] = 2.3 \times 10^{-2} \, \text{mol/L},
$$[/tex]

we substitute into the formula to obtain

[tex]$$
\text{pH} = -\log_{10}(2.3 \times 10^{-2}).
$$[/tex]

Using the properties of logarithms, we break this down as follows:

[tex]$$
\log_{10}(2.3 \times 10^{-2}) = \log_{10}(2.3) + \log_{10}(10^{-2}).
$$[/tex]

It is known that

[tex]$$
\log_{10}(10^{-2}) = -2.
$$[/tex]

Assuming the value for [tex]$\log_{10}(2.3)$[/tex] is approximately [tex]$0.3617$[/tex], we have

[tex]$$
\log_{10}(2.3 \times 10^{-2}) \approx 0.3617 - 2 = -1.6383.
$$[/tex]

Thus, the pH is

[tex]$$
\text{pH} = -(-1.6383) \approx 1.6383.
$$[/tex]

Rounded to two decimal places, the pH is approximately [tex]$1.64$[/tex].

Therefore, the correct answer is:

[tex]$$
\boxed{1.64}
$$[/tex]

Thanks for taking the time to read What is the pH of a solution containing tex 2 3 times 10 2 text mol L tex of tex H tex ions A 2. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada