Convert mole / cup to mole / cup

Learn how to convert 1 mole / cup to mole / cup 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}{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 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}})

Right 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}})

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}{c u p})

Insert known values =>

1.0 \times 4.0 \times 10^{3} \times (\frac{m o l e}{c u b i c m e t e r}) = x \times \frac{1.0}{2.365882365 \times 10^{- 4}} \times (\frac{m o l e}{c u b i c m e t e r})

Or

1.0 \cdot 4.0 \times 10^{3} \cdot (\frac{m o l}{m^{3}}) = x \cdot \frac{1.0}{2.365882365 \times 10^{- 4}} \cdot (\frac{m o l}{m^{3}})

Cancel SI units

1.0 \times 4.0 \times 10^{3} \cdot (\frac{m o l}{m^{3}}) = x \times \frac{1.0}{2.365882365 \times 10^{- 4}} \times (\frac{m o l}{m^{3}})

Conversion Equation

4.0 \times 10^{3} = x \times \frac{1.0}{2.365882365 \times 10^{- 4}}

Switch sides

x \times \frac{1.0}{2.365882365 \times 10^{- 4}} = 4.0 \times 10^{3}

Isolate

x

Multiply both sides by

(\frac{2.365882365 \times 10^{- 4}}{1.0})

x \times \frac{1.0}{2.365882365 \times 10^{- 4}} \times \frac{2.365882365 \times 10^{- 4}}{1.0} = 4.0 \times 10^{3} \times \frac{2.365882365 \times 10^{- 4}}{1.0}

Cancel

x \times \frac{1.0 \times 2.365882365 \times 10^{- 4}}{2.365882365 \times 10^{- 4} \times 1.0} = 4.0 \times 10^{3} \times \frac{2.365882365 \times {10^{- 4}}^{10^{- 1}}}{1.0}

Simplify

x = 4.0 \times 2.365882365 \times 10^{- 1}

Solve

x

x = 0.946352946 \approx 9.4635 \times 10^{- 1}

Conversion Equation

1.0 (\frac{m o l e}{c u p}) \approx 9.4635 \times 10^{- 1} (\frac{m o l e}{c u p})

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