the average pH of healthy human blood is 7.4. how many moles of H+ ions are free in your blood. The average person has approx. 5 L of blood.

I assume the question is asking simply to count the H^+ free (from the pH calculation) and NOT go through the bicarbonate equilibrium.

pH = -log(H^+).
Solve this for (H^+) which gives the hydrogen ion in moles/L, then multiply by 5 to obtain the moles in 5 L.

so would the equation be 7.4= -log of what?

To determine the number of moles of H+ ions in human blood, we need to know the pH value and the volume of blood.

Given:
Average pH of healthy human blood = 7.4
Volume of blood = 5 L

First, we need to calculate the concentration of H+ ions in human blood using the pH value. The pH scale is a logarithmic scale that measures the concentration of H+ ions in a solution.

The pH scale is defined as: pH = -log[H+]

Rearranging the equation, we get: [H+] = 10^(-pH)

Substituting the given values:
[H+] = 10^(-7.4)

Use a calculator to evaluate 10^(-7.4), which gives us approximately 3.98 x 10^(-8) mol/L.

Now, we can calculate the total number of moles of H+ ions in the blood by multiplying the concentration by the volume:

Moles of H+ ions = [H+] x Volume

Moles of H+ ions = 3.98 x 10^(-8) mol/L x 5 L

Multiply the values to get: Moles of H+ ions ≈ 1.99 x 10^(-7) mol

Therefore, there are approximately 1.99 x 10^(-7) moles of H+ ions free in 5 liters of healthy human blood.