Convert gallon / second to liter / hour

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

Calculation Breakdown

Set up the equation

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

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}{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})

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

Insert known values into the conversion equation to determine

x

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

Insert known values =>

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

Or

1.0 \cdot 4.54609 \times 10^{- 3} \cdot (\frac{m^{3}}{s}) = x \cdot \frac{10^{- 3}}{3.6 \times 10^{3}} \cdot (\frac{m^{3}}{s})

Cancel SI units

1.0 \times 4.54609 \times 10^{- 3} \cdot (\frac{m^{3}}{s}) = x \times \frac{10^{- 3}}{3.6 \times 10^{3}} \times (\frac{m^{3}}{s})

Conversion Equation

4.54609 \times 10^{- 3} = x \times \frac{10^{- 3}}{3.6 \times 10^{3}}

Cancel factors on both sides

Cancel factors

4.54609 \times 10^{- 3} = x \times \frac{10^{- 3}}{3.6 \times 10^{3}}

Simplify

4.54609 = x \times \frac{1.0}{3.6 \times 10^{3}}

Switch sides

x \times \frac{1.0}{3.6 \times 10^{3}} = 4.54609

Isolate

x

Multiply both sides by

(\frac{3.6 \times 10^{3}}{1.0})

x \times \frac{1.0}{3.6 \times 10^{3}} \times \frac{3.6 \times 10^{3}}{1.0} = 4.54609 \times \frac{3.6 \times 10^{3}}{1.0}

Cancel

x \times \frac{1.0 \times 3.6 \times 10^{3}}{3.6 \times 10^{3} \times 1.0} = 4.54609 \times \frac{3.6 \times 10^{3}}{1.0}

Simplify

x = 4.54609 \times 3.6 \times 10^{3}

Solve

x

x = 16365.924 \approx 1.6366 \times 10^{4}

Conversion Equation

1.0 (\frac{g a l l o n}{s e c o n d}) \approx 1.6366 \times 10^{4} (\frac{l i t e r}{h o u r})

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