Convert mole / cubic meter to mole / cup

Learn how to convert 1 mole / cubic meter to mole / cup step by step.

Calculation Breakdown

Set up the equation

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

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

Right side: 1.0 (\frac{m o l e}{c u p}) = \frac{1.0}{2.273045 \times 10^{- 4}} (\frac{m o l e}{c u b i c m e t e r}) = \frac{1.0}{2.273045 \times 10^{- 4}} (\frac{m o l}{m^{3}})

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times 1.0 \times (\frac{m o l e}{c u b i c m e t e r}) = x \times \frac{1.0}{2.273045 \times 10^{- 4}} \times (\frac{m o l e}{c u b i c m e t e r})

Or

1.0 \cdot 1.0 \cdot (\frac{m o l}{m^{3}}) = x \cdot \frac{1.0}{2.273045 \times 10^{- 4}} \cdot (\frac{m o l}{m^{3}})

Cancel SI units

1.0 \times 1.0 \cdot (\frac{m o l}{m^{3}}) = x \times \frac{1.0}{2.273045 \times 10^{- 4}} \times (\frac{m o l}{m^{3}})

Conversion Equation

1.0 = x \times \frac{1.0}{2.273045 \times 10^{- 4}}

Simplify

1.0 = x \times \frac{1.0}{2.273045 \times 10^{- 4}}

Cancel factors on both sides

Cancel factors

1.0 = x \times \frac{1.0}{2.273045 \times 10^{- 4}}

Simplify

1.0 = x \times \frac{1.0}{2.273045 \times 10^{- 4}}

Switch sides

x \times \frac{1.0}{2.273045 \times 10^{- 4}} = 1.0

Isolate

x

Multiply both sides by

(\frac{2.273045 \times 10^{- 4}}{1.0})

x \times \frac{1.0}{2.273045 \times 10^{- 4}} \times \frac{2.273045 \times 10^{- 4}}{1.0} = \times \frac{2.273045 \times 10^{- 4}}{1.0}

Cancel

x \times \frac{1.0 \times 2.273045 \times 10^{- 4}}{2.273045 \times 10^{- 4} \times 1.0} = \frac{2.273045 \times 10^{- 4}}{1.0}

Simplify

x = 2.273045 \times 10^{- 4}

Solve

x

x = 0.0002273045 \approx 2.273 \times 10^{- 4}

Conversion Equation

1.0 (\frac{m o l e}{c u b i c m e t e r}) \approx 2.273 \times 10^{- 4} (\frac{m o l e}{c u p})

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