Convert gill / second to gallon / second

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

Calculation Breakdown

Set up the equation

1.0 (\frac{g i l l}{s e c o n d}) = x (\frac{g a l l o n}{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 i l l}{s e c o n d}) = 1.1829411825 \times 10^{- 4} (\frac{c u b i c m e t e r}{s e c o n d}) = 1.1829411825 \times 10^{- 4} (\frac{m^{3}}{s})

Right side: 1.0 (\frac{g a l l o n}{s e c o n d}) = 4.54609 \times 10^{- 3} (\frac{c u b i c m e t e r}{s e c o n d}) = 4.54609 \times 10^{- 3} (\frac{m^{3}}{s})

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times 1.1829411825 \times 10^{- 4} \times (\frac{c u b i c m e t e r}{s e c o n d}) = x \times 4.54609 \times 10^{- 3} \times (\frac{c u b i c m e t e r}{s e c o n d})

Or

1.0 \cdot 1.1829411825 \times 10^{- 4} \cdot (\frac{m^{3}}{s}) = x \cdot 4.54609 \times 10^{- 3} \cdot (\frac{m^{3}}{s})

Cancel SI units

1.0 \times 1.1829411825 \times 10^{- 4} \cdot (\frac{m^{3}}{s}) = x \times 4.54609 \times 10^{- 3} \times (\frac{m^{3}}{s})

Conversion Equation

1.1829411825 \times 10^{- 4} = x \times 4.54609 \times 10^{- 3}

Cancel factors on both sides

Cancel factors

1.1829411825 \times {10^{- 4}}^{10^{- 1}} = x \times 4.54609 \times 10^{- 3}

Simplify

1.1829411825 \times 10^{- 1} = x \times 4.54609

Switch sides

x \times 4.54609 = 1.1829411825 \times 10^{- 1}

Isolate

x

Multiply both sides by

(\frac{1.0}{4.54609})

x \times 4.54609 \times \frac{1.0}{4.54609} = 1.1829411825 \times 10^{- 1} \times \frac{1.0}{4.54609}

Cancel

x \times 4.54609 \times \frac{1.0}{4.54609} = 1.1829411825 \times 10^{- 1} \times \frac{1.0}{4.54609}

Simplify

x = \frac{1.1829411825 \times 10^{- 1}}{4.54609}

Solve

x

x \approx 0.0260210683 \approx 2.6021 \times 10^{- 2}

Conversion Equation

1.0 (\frac{g i l l}{s e c o n d}) \approx 2.6021 \times 10^{- 2} (\frac{g a l l o n}{s e c o n d})

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