Convert ton / gallon to pound / liter

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

Calculation Breakdown

Set up the equation

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

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

Right side: 1.0 (\frac{p o u n d}{l i t e r}) = 5.0 \times 10^{2} (\frac{k i l o g r a m}{c u b i c m e t e r}) = 5.0 \times 10^{2} (\frac{k g}{m^{3}})

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times \frac{10^{6}}{4.54609} \times (\frac{k i l o g r a m}{c u b i c m e t e r}) = x \times 5.0 \times 10^{2} \times (\frac{k i l o g r a m}{c u b i c m e t e r})

Or

1.0 \cdot \frac{10^{6}}{4.54609} \cdot (\frac{k g}{m^{3}}) = x \cdot 5.0 \times 10^{2} \cdot (\frac{k g}{m^{3}})

Cancel SI units

1.0 \times \frac{10^{6}}{4.54609} \cdot (\frac{k g}{m^{3}}) = x \times 5.0 \times 10^{2} \times (\frac{k g}{m^{3}})

Conversion Equation

\frac{10^{6}}{4.54609} = x \times 5.0 \times 10^{2}

Cancel factors on both sides

Cancel factors

\frac{{10^{6}}^{10^{4}}}{4.54609} = x \times 5.0 \times 10^{2}

Simplify

\frac{10^{4}}{4.54609} = x \times 5.0

Switch sides

x \times 5.0 = \frac{10^{4}}{4.54609}

Isolate

x

Multiply both sides by

(\frac{1.0}{5.0})

x \times 5.0 \times \frac{1.0}{5.0} = \frac{10^{4}}{4.54609} \times \frac{1.0}{5.0}

Cancel

x \times 5.0 \times \frac{1.0}{5.0} = \frac{10^{4} \times 1.0}{4.54609 \times 5.0}

Simplify

x = \frac{10^{4}}{4.54609 \times 5.0}

Solve

x

x \approx 439.9384966 \approx 4.3994 \times 10^{2}

Conversion Equation

1.0 (\frac{t o n}{g a l l o n}) \approx 4.3994 \times 10^{2} (\frac{p o u n d}{l i t e r})

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