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pH = -log [H+]

So collect the hydrogen gas in a syringe and measure the volume.

Moles of hydrogen can be found using;

n = PV / RT

Pressure should be 1atm

Temperature will be around 293K

R is 8.314 * atm/mols

V is the reading on the syringe

Now that n (of hydrogen gas) is calculated we can find the moles of hydrogen ions using a stoimetric (balanced) equation

With that done use;

C = n/V

V being the volume of the solution that you electrolysed

The C is the concentration of H+ ions and now can be subed into the equation;

pH = -log [H+]

to give pH

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Q: How to measure the pH using hydrogen electrode?
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