Question

the ph of your blood can drop when you exercise a lot. under normal circumstances your body copes with this and brings the ph back up. however if the ph of the blood gets too low (below 7.4), a condition known as acidosis results. a serious case of acidosis can result in death. (a) after a training session for a race, hannah measures the hydrogen - ion concentration in her blood and finds it to be h⁺=3.16×10⁻⁷ m. what is the ph of her blood? (round your answer to one decimal place.) is there cause for concern? yes no (b) should her doctor try to raise or lower the hydrogen - ion concentration to bring the ph back to normal? raise lower resources read it

Explanation:

Step1: Recall pH formula

The formula for pH is $pH = -\log[H^+]$, where $[H^+]$ is the hydrogen - ion concentration.

Step2: Substitute the given value

Given $[H^+]=3.16\times 10^{-7}\ M$, then $pH = -\log(3.16\times 10^{-7})$.
Using the logarithm property $\log(ab)=\log a+\log b$, we have $pH=-(\log(3.16)+\log(10^{-7}))$.
Since $\log(10^{-7})=-7$ and $\log(3.16)\approx0.5$, then $pH=- (0.5 - 7)=6.5$.

Step3: Check for concern

Normal blood pH is above 7.4. Since $6.5<7.4$, there is cause for concern.

Step4: Determine action for doctor

The pH is too low. Since $pH = -\log[H^+]$, to increase the pH, the hydrogen - ion concentration $[H^+]$ should be lowered.

Answer:

(a) 6.5
Yes
(b) lower