Convert mole / gallon to mole / liter

Learn how to convert 1 mole / gallon to mole / liter step by step.

Calculation Breakdown

Set up the equation

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

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

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

Left side: 1.0 (\frac{m o l e}{g a l l o n}) = \frac{1.0}{4.40488377086 \times 10^{- 3}} (\frac{m o l e}{c u b i c m e t e r}) = \frac{1.0}{4.40488377086 \times 10^{- 3}} (\frac{m o l}{m^{3}})

Right side: 1.0 (\frac{m o l e}{l i t e r}) = 10^{3} (\frac{m o l e}{c u b i c m e t e r}) = 10^{3} (\frac{m o l}{m^{3}})

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times \frac{1.0}{4.40488377086 \times 10^{- 3}} \times (\frac{m o l e}{c u b i c m e t e r}) = x \times 10^{3} \times (\frac{m o l e}{c u b i c m e t e r})

Or

1.0 \cdot \frac{1.0}{4.40488377086 \times 10^{- 3}} \cdot (\frac{m o l}{m^{3}}) = x \cdot 10^{3} \cdot (\frac{m o l}{m^{3}})

Cancel SI units

1.0 \times \frac{1.0}{4.40488377086 \times 10^{- 3}} \cdot (\frac{m o l}{m^{3}}) = x \times 10^{3} \times (\frac{m o l}{m^{3}})

Conversion Equation

\frac{1.0}{4.40488377086 \times 10^{- 3}} = x \times 10^{3}

Switch sides

x \times 10^{3} = \frac{1.0}{4.40488377086 \times 10^{- 3}}

Isolate

x

Multiply both sides by

(\frac{1.0}{10^{3}})

x \times 10^{3} \times \frac{1.0}{10^{3}} = \frac{1.0}{4.40488377086 \times 10^{- 3}} \times \frac{1.0}{10^{3}}

Cancel

x \times 10^{3} \times \frac{1.0}{10^{3}} = \frac{1.0 \times 1.0}{4.40488377086 \times 10^{- 3} \times 10^{3}}

Simplify

x = \frac{1.0}{4.40488377086}

Solve

x

x \approx 0.2270207461 \approx 2.2702 \times 10^{- 1}

Conversion Equation

1.0 (\frac{m o l e}{g a l l o n}) \approx 2.2702 \times 10^{- 1} (\frac{m o l e}{l i t e r})

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