the ph of a fruit juice is 2.4. find the hydronium ion concentration, h₃o⁺, of the juice. use the formula ph…

the ph of a fruit juice is 2.4. find the hydronium ion concentration, h₃o⁺, of the juice. use the formula ph = - log h₃o⁺. the hydronium ion concentration h₃o⁺ is approximately moles per liter. (use scientific notation. use the multiplication symbol in the math palette as needed. round to the nearest tenth as needed.)

the ph of a fruit juice is 2.4. find the hydronium ion concentration, h₃o⁺, of the juice. use the formula ph = - log h₃o⁺. the hydronium ion concentration h₃o⁺ is approximately moles per liter. (use scientific notation. use the multiplication symbol in the math palette as needed. round to the nearest tenth as needed.)

Answer

Explanation:

Step1: Rearrange the pH formula

Given $pH = -\log[H_3O^+]$, we can rewrite it as $\log[H_3O^+]= - pH$.

Step2: Use the definition of logarithm

If $\log[H_3O^+]= - pH$, then by the definition of the common - logarithm ($y = \log x$ is equivalent to $x = 10^y$), we have $[H_3O^+]=10^{-pH}$.

Step3: Substitute the given pH value

Substitute $pH = 2.4$ into the formula $[H_3O^+]=10^{-pH}$. So $[H_3O^+]=10^{- 2.4}$.

Step4: Calculate the value

$10^{-2.4}=\frac{1}{10^{2.4}}\approx3.98\times10^{-3}$. Rounding to the nearest tenth in scientific notation, $[H_3O^+]\approx4.0\times 10^{-3}$ moles per liter.

Answer:

$4.0\times 10^{-3}$