The pH of a solution is 8.83±0.048.83±0.04 . What is the concentration of H+H+ in the solution and its absolute uncertainty?

The concentration of is 1.48  × M

The absolute uncertainty of is ±0.12 × M

The concentration of is written as 1.48(±0.12) × M

Explanation:

The pH of a solution is given by the formula below

pH =

∴

where is the concentration

From the question,

pH = 8.83±0.04

That is,

pH =8.83 and the uncertainty is ±0.04

First, we will determine from

× M

× M

The concentration of is 1.48  × M

The uncertainty of  ( ) from the equation is

× ×

Where is the uncertainty of

is the uncertainty of the pH

Hence,

= 2.303 × 1.4791 × × 0.04

= 1.36 × M

= 0.12 × M

Hence, the absolute uncertainty of is ±0.12 × M

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