If the ph of a solution is 2.78 with an absolute uncertainty of ±0.05, what is the latex: \left[h^+\right][ h + ] and its uncertainty?

[H⁺] = 16.6 (±1.9) x10⁻⁴ M

Explanation:

The pH is defined as:

pH = -log[H⁺]

So we can calculate [H⁺]:

2.78 = -log[H⁺]-2.78 = log[H⁺][H⁺] =

[H⁺] = 1.66x10⁻³ M

The relative uncertainty in [H⁺] is

uR/R = 2.303 x AbsoluteUncertaintyuR/R = 2.303 * 0.05 = 0.115

Thus the uncertainty in the concentration is:

1.66x10⁻³ M * 0.115 = 1.91x10⁻⁴ M

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