Convert ton / liter to tonne / gallon

Learn how to convert 1 ton / liter to tonne / gallon step by step.

Calculation Breakdown

Set up the equation

1.0 (\frac{t o n}{l i t e r}) = x (\frac{t o n n e}{g a l l o n})

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

(\frac{k i l o g r a m}{c u b i c m e t e r})

Left side: 1.0 (\frac{t o n}{l i t e r}) = 10^{6} (\frac{k i l o g r a m}{c u b i c m e t e r}) = 10^{6} (\frac{k g}{m^{3}})

Right side: 1.0 (\frac{t o n n e}{g a l l o n}) = \frac{1016.0469088}{4.54609 \times 10^{- 3}} (\frac{k i l o g r a m}{c u b i c m e t e r}) = \frac{1016.0469088}{4.54609 \times 10^{- 3}} (\frac{k g}{m^{3}})

Insert known values into the conversion equation to determine

x

1.0 (\frac{t o n}{l i t e r}) = x (\frac{t o n n e}{g a l l o n})

Insert known values =>

1.0 \times 10^{6} \times (\frac{k i l o g r a m}{c u b i c m e t e r}) = x \times \frac{1016.0469088}{4.54609 \times 10^{- 3}} \times (\frac{k i l o g r a m}{c u b i c m e t e r})

Or

1.0 \cdot 10^{6} \cdot (\frac{k g}{m^{3}}) = x \cdot \frac{1016.0469088}{4.54609 \times 10^{- 3}} \cdot (\frac{k g}{m^{3}})

Cancel SI units

1.0 \times 10^{6} \cdot (\frac{k g}{m^{3}}) = x \times \frac{1016.0469088}{4.54609 \times 10^{- 3}} \times (\frac{k g}{m^{3}})

Conversion Equation

10^{6} = x \times \frac{1016.0469088}{4.54609 \times 10^{- 3}}

Switch sides

x \times \frac{1016.0469088}{4.54609 \times 10^{- 3}} = 10^{6}

Isolate

x

Multiply both sides by

(\frac{4.54609 \times 10^{- 3}}{1016.0469088})

x \times \frac{1016.0469088}{4.54609 \times 10^{- 3}} \times \frac{4.54609 \times 10^{- 3}}{1016.0469088} = 10^{6} \times \frac{4.54609 \times 10^{- 3}}{1016.0469088}

Cancel

x \times \frac{1016.0469088 \times 4.54609 \times 10^{- 3}}{4.54609 \times 10^{- 3} \times 1016.0469088} = {10^{6}}^{10^{3}} \times \frac{4.54609 \times 10^{- 3}}{1016.0469088}

Simplify

x = \frac{10^{3} \times 4.54609}{1016.0469088}

Solve

x

x \approx 4.4742914531 \approx 4.4743

Conversion Equation

1.0 (\frac{t o n}{l i t e r}) \approx 4.4743 (\frac{t o n n e}{g a l l o n})

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