Convert mole / day to mole / hour

Learn how to convert 1 mole / day to mole / hour step by step.

Calculation Breakdown

Set up the equation

1.0 (\frac{m o l e}{d a y}) = x (\frac{m o l e}{h o u r})

Define the base values of the selected units in relation to the SI unit

(\frac{m o l e}{s e c o n d})

Left side: 1.0 (\frac{m o l e}{d a y}) = \frac{1.0}{8.64 \times 10^{4}} (\frac{m o l e}{s e c o n d}) = \frac{1.0}{8.64 \times 10^{4}} (\frac{m o l}{s})

Right side: 1.0 (\frac{m o l e}{h o u r}) = \frac{1.0}{3.6 \times 10^{3}} (\frac{m o l e}{s e c o n d}) = \frac{1.0}{3.6 \times 10^{3}} (\frac{m o l}{s})

Insert known values into the conversion equation to determine

x

1.0 (\frac{m o l e}{d a y}) = x (\frac{m o l e}{h o u r})

Insert known values =>

1.0 \times \frac{1.0}{8.64 \times 10^{4}} \times (\frac{m o l e}{s e c o n d}) = x \times \frac{1.0}{3.6 \times 10^{3}} \times (\frac{m o l e}{s e c o n d})

Or

1.0 \cdot \frac{1.0}{8.64 \times 10^{4}} \cdot (\frac{m o l}{s}) = x \cdot \frac{1.0}{3.6 \times 10^{3}} \cdot (\frac{m o l}{s})

Cancel SI units

1.0 \times \frac{1.0}{8.64 \times 10^{4}} \cdot (\frac{m o l}{s}) = x \times \frac{1.0}{3.6 \times 10^{3}} \times (\frac{m o l}{s})

Conversion Equation

\frac{1.0}{8.64 \times 10^{4}} = x \times \frac{1.0}{3.6 \times 10^{3}}

Cancel factors on both sides

Cancel factors

\frac{1.0}{8.64 \times {10^{4}}^{10}} = x \times \frac{1.0}{3.6 \times 10^{3}}

Simplify

\frac{1.0}{8.64 \times 10.0} = x \times \frac{1.0}{3.6}

Switch sides

x \times \frac{1.0}{3.6} = \frac{1.0}{8.64 \times 10.0}

Isolate

x

Multiply both sides by

(\frac{3.6}{1.0})

x \times \frac{1.0}{3.6} \times \frac{3.6}{1.0} = \frac{1.0}{8.64 \times 10.0} \times \frac{3.6}{1.0}

Cancel

x \times \frac{1.0 \times 3.6}{3.6 \times 1.0} = \frac{1.0 \times 3.6}{8.64 \times 10.0 \times 1.0}

Simplify

x = \frac{3.6}{8.64 \times 10.0}

Solve

x

x \approx 0.0416666667 \approx 4.1667 \times 10^{- 2}

Conversion Equation

1.0 (\frac{m o l e}{d a y}) \approx 4.1667 \times 10^{- 2} (\frac{m o l e}{h o u r})

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