Convert mole / liter to mole / ounce

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

Calculation Breakdown

Set up the equation

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

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}{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}})

Right side: 1.0 (\frac{m o l e}{o u n c e}) = \frac{1.0}{2.95735295625 \times 10^{- 5}} (\frac{m o l e}{c u b i c m e t e r}) = \frac{1.0}{2.95735295625 \times 10^{- 5}} (\frac{m o l}{m^{3}})

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times 10^{3} \times (\frac{m o l e}{c u b i c m e t e r}) = x \times \frac{1.0}{2.95735295625 \times 10^{- 5}} \times (\frac{m o l e}{c u b i c m e t e r})

Or

1.0 \cdot 10^{3} \cdot (\frac{m o l}{m^{3}}) = x \cdot \frac{1.0}{2.95735295625 \times 10^{- 5}} \cdot (\frac{m o l}{m^{3}})

Cancel SI units

1.0 \times 10^{3} \cdot (\frac{m o l}{m^{3}}) = x \times \frac{1.0}{2.95735295625 \times 10^{- 5}} \times (\frac{m o l}{m^{3}})

Conversion Equation

10^{3} = x \times \frac{1.0}{2.95735295625 \times 10^{- 5}}

Switch sides

x \times \frac{1.0}{2.95735295625 \times 10^{- 5}} = 10^{3}

Isolate

x

Multiply both sides by

(\frac{2.95735295625 \times 10^{- 5}}{1.0})

x \times \frac{1.0}{2.95735295625 \times 10^{- 5}} \times \frac{2.95735295625 \times 10^{- 5}}{1.0} = 10^{3} \times \frac{2.95735295625 \times 10^{- 5}}{1.0}

Cancel

x \times \frac{1.0 \times 2.95735295625 \times 10^{- 5}}{2.95735295625 \times 10^{- 5} \times 1.0} = 10^{3} \times \frac{2.95735295625 \times {10^{- 5}}^{10^{- 2}}}{1.0}

Simplify

x = 2.95735295625 \times 10^{- 2}

Solve

x

x \approx 0.0295735296 \approx 2.9574 \times 10^{- 2}

Conversion Equation

1.0 (\frac{m o l e}{l i t e r}) \approx 2.9574 \times 10^{- 2} (\frac{m o l e}{o u n c e})

View All Examples