Question

in chemistry, the ph of a solution is defined to be $\text{ph} = - \log \left \text{h}^+ \
ight$ where $\text{h}^+$ is the hydrogen ion concentration of the solution in moles per liter. distilled water has a ph of approximately 7. a substar with a ph under 7 is called an acid and one with a ph over 7 is called a base.

tomato juice has a hydrogen ion concentration of $10^{-4.8}$ moles per liter. find the ph of tomato juice.

$\text{ph} = \square$

Explanation:

Step1: Identify the formula

The formula for pH is given as \( \text{pH} = -\log[H^+] \), and we know that \( [H^+] = 10^{-4.8} \) for tomato juice.

Step2: Substitute the value into the formula

Substitute \( [H^+] = 10^{-4.8} \) into the pH formula:
\( \text{pH} = -\log(10^{-4.8}) \)

Step3: Use the logarithm property

Recall the logarithm property \( \log(a^b)=b\log(a) \) and for base 10, \( \log(10^x)=x \). So, \( -\log(10^{-4.8})=-(-4.8)\log(10) \). Since \( \log(10) = 1 \), this simplifies to \( 4.8\times1 = 4.8 \).

Answer:

\( 4.8 \)