Convert mole / cubic foot to mole / cup

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

Calculation Breakdown

Set up the equation

1.0 (\frac{m o l e}{c u b i c f o o t}) = 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 f o o t}) = \frac{1.0}{0.028316846592} (\frac{m o l e}{c u b i c m e t e r}) = \frac{1.0}{0.028316846592} (\frac{m o l}{m^{3}})

Right side: 1.0 (\frac{m o l e}{c u p}) = 4.0 \times 10^{3} (\frac{m o l e}{c u b i c m e t e r}) = 4.0 \times 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}{c u b i c f o o t}) = x (\frac{m o l e}{c u p})

Insert known values =>

1.0 \times \frac{1.0}{0.028316846592} \times (\frac{m o l e}{c u b i c m e t e r}) = x \times 4.0 \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}{0.028316846592} \cdot (\frac{m o l}{m^{3}}) = x \cdot 4.0 \times 10^{3} \cdot (\frac{m o l}{m^{3}})

Cancel SI units

1.0 \times \frac{1.0}{0.028316846592} \cdot (\frac{m o l}{m^{3}}) = x \times 4.0 \times 10^{3} \times (\frac{m o l}{m^{3}})

Conversion Equation

\frac{1.0}{0.028316846592} = x \times 4.0 \times 10^{3}

Switch sides

x \times 4.0 \times 10^{3} = \frac{1.0}{0.028316846592}

Isolate

x

Multiply both sides by

(\frac{1.0}{4.0 \times 10^{3}})

x \times 4.0 \times 10^{3} \times \frac{1.0}{4.0 \times 10^{3}} = \frac{1.0}{0.028316846592} \times \frac{1.0}{4.0 \times 10^{3}}

Cancel

x \times 4.0 \times 10^{3} \times \frac{1.0}{4.0 \times 10^{3}} = \frac{1.0 \times 1.0}{0.028316846592 \times 4.0 \times 10^{3}}

Simplify

x = \frac{1.0}{0.028316846592 \times 4.0 \times 10^{3}}

Rewrite equation

\frac{1.0}{10^{3}} can be rewritten to 10^{- 3}

Rewrite

x = \frac{10^{- 3}}{0.028316846592 \times 4.0}

Solve

x

x \approx 0.0088286667 \approx 8.8287 \times 10^{- 3}

Conversion Equation

1.0 (\frac{m o l e}{c u b i c f o o t}) \approx 8.8287 \times 10^{- 3} (\frac{m o l e}{c u p})

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