Convert gallon / hour to gill / second

Learn how to convert 1 gallon / hour to gill / second step by step.

Calculation Breakdown

Set up the equation

1.0 (\frac{g a l l o n}{h o u r}) = x (\frac{g i l l}{s e c o n d})

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

(\frac{c u b i c m e t e r}{s e c o n d})

Left side: 1.0 (\frac{g a l l o n}{h o u r}) = \frac{3.785411784 \times 10^{- 3}}{3.6 \times 10^{3}} (\frac{c u b i c m e t e r}{s e c o n d}) = \frac{3.785411784 \times 10^{- 3}}{3.6 \times 10^{3}} (\frac{m^{3}}{s})

Right side: 1.0 (\frac{g i l l}{s e c o n d}) = 1.420653125 \times 10^{- 4} (\frac{c u b i c m e t e r}{s e c o n d}) = 1.420653125 \times 10^{- 4} (\frac{m^{3}}{s})

Insert known values into the conversion equation to determine

x

1.0 (\frac{g a l l o n}{h o u r}) = x (\frac{g i l l}{s e c o n d})

Insert known values =>

1.0 \times \frac{3.785411784 \times 10^{- 3}}{3.6 \times 10^{3}} \times (\frac{c u b i c m e t e r}{s e c o n d}) = x \times 1.420653125 \times 10^{- 4} \times (\frac{c u b i c m e t e r}{s e c o n d})

Or

1.0 \cdot \frac{3.785411784 \times 10^{- 3}}{3.6 \times 10^{3}} \cdot (\frac{m^{3}}{s}) = x \cdot 1.420653125 \times 10^{- 4} \cdot (\frac{m^{3}}{s})

Cancel SI units

1.0 \times \frac{3.785411784 \times 10^{- 3}}{3.6 \times 10^{3}} \cdot (\frac{m^{3}}{s}) = x \times 1.420653125 \times 10^{- 4} \times (\frac{m^{3}}{s})

Conversion Equation

\frac{3.785411784 \times 10^{- 3}}{3.6 \times 10^{3}} = x \times 1.420653125 \times 10^{- 4}

Cancel factors on both sides

Cancel factors

\frac{3.785411784 \times 10^{- 3}}{3.6 \times 10^{3}} = x \times 1.420653125 \times {10^{- 4}}^{10^{- 1}}

Simplify

\frac{3.785411784}{3.6 \times 10^{3}} = x \times 1.420653125 \times 10^{- 1}

Switch sides

x \times 1.420653125 \times 10^{- 1} = \frac{3.785411784}{3.6 \times 10^{3}}

Isolate

x

Multiply both sides by

(\frac{1.0}{1.420653125 \times 10^{- 1}})

x \times 1.420653125 \times 10^{- 1} \times \frac{1.0}{1.420653125 \times 10^{- 1}} = \frac{3.785411784}{3.6 \times 10^{3}} \times \frac{1.0}{1.420653125 \times 10^{- 1}}

Cancel

x \times 1.420653125 \times 10^{- 1} \times \frac{1.0}{1.420653125 \times 10^{- 1}} = \frac{3.785411784 \times 1.0}{3.6 \times {10^{3}}^{10^{2}} \times 1.420653125 \times 10^{- 1}}

Simplify

x = \frac{3.785411784}{3.6 \times 10^{2} \times 1.420653125}

Rewrite equation

\frac{1.0}{10^{2}} can be rewritten to 10^{- 2}

Rewrite

x = \frac{10^{- 2} \times 3.785411784}{3.6 \times 1.420653125}

Solve

x

x \approx 0.0074015483 \approx 7.4015 \times 10^{- 3}

Conversion Equation

1.0 (\frac{g a l l o n}{h o u r}) \approx 7.4015 \times 10^{- 3} (\frac{g i l l}{s e c o n d})

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