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Hello, can someone really quick help me with this question. Pleaseeee i dont understand. 

The pH of a solution is given by pH = -log(H+), where (H+) is the hydrogen ion concentration in moles per liter. The average pH of blood is 7.4 in a human. Humans will die if the pH of their blood goes below 7.0 or above 7.8. What is the difference in hydrogen ion concentration between the allowable pHs?  Solve algebraically 

4 years ago

Answered By Majid B

$pH_1=-\log\left[H^+\right]_1=7.8$pH1=log[H+]1=7.8  =>  $\log\left[H^+\right]_1=-7.8$log[H+]1=7.8 =>   $\left[H^+\right]_1=10^{-7.8}=1.585\times10^{-8}\left(\frac{mol}{L}\right)$[H+]1=107.8=1.585×108(molL )   

$pH_2=-\log\left[H^+\right]_2=7.0$pH2=log[H+]2=7.0  =>  $\log\left[H^+\right]_2=-7.0$log[H+]2=7.0  =>  $\left[H^+\right]_2=10^{-7.0}=10\times10^{-8}\left(\frac{mol}{L}\right)$[H+]2=107.0=10×108(molL )

$\left[H^+\right]_2-\left[H^+\right]_1=10^{-7.0}-10^{-7.8}=10\times10^{-8}-1.585\times10^{-8}=8.415\times10^{-8}\left(\frac{mol}{L}\right)$[H+]2[H+]1=107.0107.8=10×1081.585×108=8.415×108(molL )