Question #268099

The pH of a solution is defined by the equation pH = –log H^+

where the concentration of hydronium ions, H+ , in a solution is measured in moles per litre.


Determine algebraically the pH of a solution that is 50 times less acidic than vinegar, which has a pH of 2.5


1
Expert's answer
2021-11-23T15:19:25-0500
[H+]=10pH[H^+]=10^{-pH}

For a pH=2.5pH=2.5 we get [H+]=102.5[H^+]=10^{-2.5}



50=102.510x50=\dfrac{10^{-2.5}}{10^{-x}}

log1050=2.5(x)\log_{10}50=-2.5-(-x)

x=2.5+log1050x=2.5+\log_{10}50

x=4.5log102x=4.5-\log_{10}2

x4.19897x\approx4.19897

The pH of a solution is 4.19897.4.19897.


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