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Answer:
1000 times.
Explanation:
Hello,
In this case, since the pH is defined by:
![pH=-log([H^+])](https://tex.z-dn.net/?f=pH%3D-log%28%5BH%5E%2B%5D%29)
If we want to compute the concentration of hydrogen we must write:
![[H^+]=10^{-pH}](https://tex.z-dn.net/?f=%5BH%5E%2B%5D%3D10%5E%7B-pH%7D)
Thus, for both the backyard soils we compute:
![[H^+]_{pH=7}=10^{-7}=1x10^{-7}M](https://tex.z-dn.net/?f=%5BH%5E%2B%5D_%7BpH%3D7%7D%3D10%5E%7B-7%7D%3D1x10%5E%7B-7%7DM)
![[H^+]_{pH=4}=10^{-4}=1x10^{-4}M](https://tex.z-dn.net/?f=%5BH%5E%2B%5D_%7BpH%3D4%7D%3D10%5E%7B-4%7D%3D1x10%5E%7B-4%7DM)
It means that:
![\frac{[H^+]_{pH=4}}{[H^+]_{pH=7}} =\frac{1x10^{-4}M}{1x10^{-7}M}\\ \\\frac{[H^+]_{pH=4}}{[H^+]_{pH=7}}=1000](https://tex.z-dn.net/?f=%5Cfrac%7B%5BH%5E%2B%5D_%7BpH%3D4%7D%7D%7B%5BH%5E%2B%5D_%7BpH%3D7%7D%7D%20%3D%5Cfrac%7B1x10%5E%7B-4%7DM%7D%7B1x10%5E%7B-7%7DM%7D%5C%5C%20%5C%5C%5Cfrac%7B%5BH%5E%2B%5D_%7BpH%3D4%7D%7D%7B%5BH%5E%2B%5D_%7BpH%3D7%7D%7D%3D1000)
It means that the concentration of hydrogen at a pH of 4 is 1000 times greater than the concentration of hydrogen at a pH of 7.
Regards.
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