select the correct answer.\nacetic acid (which is commonly known as vinegar) has a ph of 4.8. what is the…

select the correct answer.\nacetic acid (which is commonly known as vinegar) has a ph of 4.8. what is the hydronium ion ($h_3o^+$) concentration of the acetic acid?\na. $1.58 \\times 10^{-5}$\nb. $8.23 \\times 10^{-3}$\nc. $1.22 \\times 10^{2}$\nd. $6.31 \\times 10^{4}$\ne. $4.8 \\times 10^{10}$

select the correct answer.\nacetic acid (which is commonly known as vinegar) has a ph of 4.8. what is the hydronium ion ($h_3o^+$) concentration of the acetic acid?\na. $1.58 \\times 10^{-5}$\nb. $8.23 \\times 10^{-3}$\nc. $1.22 \\times 10^{2}$\nd. $6.31 \\times 10^{4}$\ne. $4.8 \\times 10^{10}$

Answer

Explanation:

Step1: Recall pH to $[H_3O^+]$ formula

The relationship between pH and hydronium ion concentration is $[H_3O^+] = 10^{-pH}$

Step2: Substitute given pH value

Substitute $\text{pH}=4.8$ into the formula: $[H_3O^+] = 10^{-4.8}$

Step3: Calculate the value

$10^{-4.8} = 10^{-(5-0.2)} = 10^{0.2} \times 10^{-5} \approx 1.58 \times 10^{-5}$

Answer:

A. $1.58 \times 10^{-5}$