How can I convert percent concentration to ppm?

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How can I convert percent concentration to ppm?

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Answer 1 · 2014-07-21T21:24:55

You multiply the % concentration by 10⁴.

% by mass = #"grams of solute"/(100"g soln")#

ppm = $\frac{grams of solute}{10 ⁶ g soln}$ $"grams of solute"/(10⁶"g soln")$

You want to know how many grams of solute are in 10⁶ g of solution.

10⁶ g soln × $\frac{1 g solute}{100 g soln}$ $(1"g solute")/(100"g soln")$ = 10⁴ g solute, or

$\frac{1 g solute}{100 g soln} = \frac{10 ⁴ g solute}{10 ⁶ g soln}$ $(1"g solute")/(100"g soln") = (10⁴"g solute")/(10⁶"g soln")$

$1 \times \frac{1 g solute}{100 g soln} = 10 ⁴ \times \frac{1 g solute}{10 ⁶ g soln}$ $1 × (1"g solute")/(100"g soln") = 10⁴ × (1"g solute")/(10⁶"g soln")$

or

1 % = 10⁴ ppm

EXAMPLE PROBLEM

Convert a concentration of 0.241 % to parts per million.

Solution

0.241 % × $\frac{10 ⁴ ppm}{1 %}$ $(10⁴"ppm")/(1"%")$ = 2410 ppm

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How can I convert percent concentration to ppm?

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