Question

the ph of a carbonated drink is 3.0. what is the hydrogen ion concentration of the drink?

a. 3.0 m

b. 11 m

c. ( 1 \times 10^3 ) m

d. ( 1 \times 10^{-3} ) m

Explanation:

Step1: Recall the pH formula

The formula relating pH and hydrogen ion concentration $[\ce{H+}]$ is $pH = -\log_{10}[\ce{H+}]$. We need to solve for $[\ce{H+}]$ when $pH = 3.0$.

Step2: Rearrange the formula

From $pH = -\log_{10}[\ce{H+}]$, we can rearrange it to $[\ce{H+}] = 10^{-pH}$.

Step3: Substitute the pH value

Substitute $pH = 3.0$ into the formula: $[\ce{H+}] = 10^{-3.0}$.

Step4: Calculate the value

$10^{-3.0}=1\times 10^{-3}\ M$.

Answer:

D. $1\times 10^{-3}\ M$