Question

A solution at pH 7 contains how many times more hydrogen than a solution at a pH of 10?

Answer 1

Answer:

Solution of pH 7 contains thousand times more hydrogen than the solution of pH 10.

Explanation:

pH of A substance is given by the negative of the logarithm of concentration of hydrogen ions. It is given by the equation

$pH=-log \ [H^+ ]$

Here the initial pH is given as 7. We have to calculate the concentration of $H^+$ ions.

$7=- log[H^+ ]  [H^+ ]=10^-^7$

The final solution has a pH 10. We have to calculate the concentration of $H^+$  in this case

$pH=-log[H^+ ] 10=-log [H^+ ][H^+ ]=10^-^1^0$

Next we have to calculate how many times more is the $H^+$ ion concentration in the solution of pH 7 when compared to the solution with pH 10.

$\frac {10^-^7}{10^-^1^0} =10^3=1000$

Thus the concentration of $H^+$ ion in the solution of pH 7 is 1000 times more than the solution of pH 10.