Convert mole / cup to mole / barrel

Learn how to convert 1 mole / cup to mole / barrel step by step.

Calculation Breakdown

Set up the equation

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

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 p}) = \frac{1.0}{2.365882365 \times 10^{- 4}} (\frac{m o l e}{c u b i c m e t e r}) = \frac{1.0}{2.365882365 \times 10^{- 4}} (\frac{m o l}{m^{3}})

Right side: 1.0 (\frac{m o l e}{b a r r e l}) = \frac{1.0}{0.115628198985075} (\frac{m o l e}{c u b i c m e t e r}) = \frac{1.0}{0.115628198985075} (\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 p}) = x (\frac{m o l e}{b a r r e l})

Insert known values =>

1.0 \times \frac{1.0}{2.365882365 \times 10^{- 4}} \times (\frac{m o l e}{c u b i c m e t e r}) = x \times \frac{1.0}{0.115628198985075} \times (\frac{m o l e}{c u b i c m e t e r})

Or

1.0 \cdot \frac{1.0}{2.365882365 \times 10^{- 4}} \cdot (\frac{m o l}{m^{3}}) = x \cdot \frac{1.0}{0.115628198985075} \cdot (\frac{m o l}{m^{3}})

Cancel SI units

1.0 \times \frac{1.0}{2.365882365 \times 10^{- 4}} \cdot (\frac{m o l}{m^{3}}) = x \times \frac{1.0}{0.115628198985075} \times (\frac{m o l}{m^{3}})

Conversion Equation

\frac{1.0}{2.365882365 \times 10^{- 4}} = x \times \frac{1.0}{0.115628198985075}

Cancel factors on both sides

Cancel factors

\frac{1.0}{2.365882365 \times 10^{- 4}} = x \times \frac{1.0}{0.115628198985075}

Switch sides

x \times \frac{1.0}{0.115628198985075} = \frac{1.0}{2.365882365 \times 10^{- 4}}

Isolate

x

Multiply both sides by

(\frac{0.115628198985075}{1.0})

x \times \frac{1.0}{0.115628198985075} \times \frac{0.115628198985075}{1.0} = \frac{1.0}{2.365882365 \times 10^{- 4}} \times \frac{0.115628198985075}{1.0}

Cancel

x \times \frac{1.0 \times 0.115628198985075}{0.115628198985075 \times 1.0} = \frac{1.0 \times 0.115628198985075}{2.365882365 \times 10^{- 4} \times 1.0}

Simplify

x = \frac{0.115628198985075}{2.365882365 \times 10^{- 4}}

Rewrite equation

\frac{1.0}{10^{- 4}} can be rewritten to 10^{4}

Rewrite

x = \frac{10^{4} \times 0.115628198985075}{2.365882365}

Solve

x

x \approx 488.73181818 \approx 4.8873 \times 10^{2}

Conversion Equation

1.0 (\frac{m o l e}{c u p}) \approx 4.8873 \times 10^{2} (\frac{m o l e}{b a r r e l})

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