Convert gram / liter to parts per billion

Learn how to convert 1 gram / liter to parts per billion step by step.

Calculation Breakdown

Set up the equation

1.0 (\frac{g r a m}{l i t e r}) = x (p a r t s p e r b i l l i o n)

Define the base values of the selected units in relation to the SI unit

(\frac{k i l o g r a m}{c u b i c m e t e r})

Left side: 1.0 (\frac{g r a m}{l i t e r}) = 1.0 (\frac{k i l o g r a m}{c u b i c m e t e r}) = 1.0 (\frac{k g}{m^{3}})

Right side: 1.0 (p a r t s p e r b i l l i o n) = 10^{- 6} (\frac{k i l o g r a m}{c u b i c m e t e r}) = 10^{- 6} (\frac{k g}{m^{3}})

Insert known values into the conversion equation to determine

x

1.0 (\frac{g r a m}{l i t e r}) = x (p a r t s p e r b i l l i o n)

Insert known values =>

1.0 \times 1.0 \times (\frac{k i l o g r a m}{c u b i c m e t e r}) = x \times 10^{- 6} \times (\frac{k i l o g r a m}{c u b i c m e t e r})

Or

1.0 \cdot 1.0 \cdot (\frac{k g}{m^{3}}) = x \cdot 10^{- 6} \cdot (\frac{k g}{m^{3}})

Cancel SI units

1.0 \times 1.0 \cdot (\frac{k g}{m^{3}}) = x \times 10^{- 6} \times (\frac{k g}{m^{3}})

Conversion Equation

1.0 = x \times 10^{- 6}

Simplify

1.0 = x \times 10^{- 6}

Switch sides

x \times 10^{- 6} = 1.0

Isolate

x

Multiply both sides by

(\frac{1.0}{10^{- 6}})

x \times 10^{- 6} \times \frac{1.0}{10^{- 6}} = 1.0 \times \frac{1.0}{10^{- 6}}

Cancel

x \times 10^{- 6} \times \frac{1.0}{10^{- 6}} = 1.0 \times \frac{1.0}{10^{- 6}}

Simplify

x = \frac{1.0}{10^{- 6}}

Rewrite equation

\frac{1.0}{10^{- 6}} can be rewritten to 10^{6}

Rewrite

x = 10^{6}

Solve

x

x = 1000000 = 1 \times 10^{6}

Conversion Equation

1.0 (\frac{g r a m}{l i t e r}) = 1 \times 10^{6} (p a r t s p e r b i l l i o n)

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