Convert mole / liter to mole / barrel

Learn how to convert 1 mole / liter to mole / barrel 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}{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}{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}{b a r r e l}) = \frac{1.0}{0.16365924} (\frac{m o l e}{c u b i c m e t e r}) = \frac{1.0}{0.16365924} (\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}{b a r r e l})

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}{0.16365924} \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}{0.16365924} \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}{0.16365924} \times (\frac{m o l}{m^{3}})

Conversion Equation

10^{3} = x \times \frac{1.0}{0.16365924}

Switch sides

x \times \frac{1.0}{0.16365924} = 10^{3}

Isolate

x

Multiply both sides by

(\frac{0.16365924}{1.0})

x \times \frac{1.0}{0.16365924} \times \frac{0.16365924}{1.0} = 10^{3} \times \frac{0.16365924}{1.0}

Cancel

x \times \frac{1.0 \times 0.16365924}{0.16365924 \times 1.0} = 10^{3} \times \frac{0.16365924}{1.0}

Simplify

x = 10^{3} \times 0.16365924

Solve

x

x = 163.65924 \approx 1.6366 \times 10^{2}

Conversion Equation

1.0 (\frac{m o l e}{l i t e r}) \approx 1.6366 \times 10^{2} (\frac{m o l e}{b a r r e l})

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