Convert pound / liter to ton / fluid-ounce

Learn how to convert 1 pound / liter to ton / fluid-ounce step by step.

Calculation Breakdown

Set up the equation

1.0 (\frac{p o u n d}{l i t e r}) = x (\frac{t o n}{f l u i d - o u n c e})

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{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}})

Right side: 1.0 (\frac{t o n}{f l u i d - o u n c e}) = \frac{10^{3}}{2.95735295625 \times 10^{- 5}} (\frac{k i l o g r a m}{c u b i c m e t e r}) = \frac{10^{3}}{2.95735295625 \times 10^{- 5}} (\frac{k g}{m^{3}})

Insert known values into the conversion equation to determine

x

1.0 (\frac{p o u n d}{l i t e r}) = x (\frac{t o n}{f l u i d - o u n c e})

Insert known values =>

1.0 \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}) = x \times \frac{10^{3}}{2.95735295625 \times 10^{- 5}} \times (\frac{k i l o g r a m}{c u b i c m e t e r})

Or

1.0 \cdot 5.0 \times 10^{2} \cdot (\frac{k g}{m^{3}}) = x \cdot \frac{10^{3}}{2.95735295625 \times 10^{- 5}} \cdot (\frac{k g}{m^{3}})

Cancel SI units

1.0 \times 5.0 \times 10^{2} \cdot (\frac{k g}{m^{3}}) = x \times \frac{10^{3}}{2.95735295625 \times 10^{- 5}} \times (\frac{k g}{m^{3}})

Conversion Equation

5.0 \times 10^{2} = x \times \frac{10^{3}}{2.95735295625 \times 10^{- 5}}

Cancel factors on both sides

Cancel factors

5.0 \times 10^{2} = x \times \frac{{10^{3}}^{10}}{2.95735295625 \times 10^{- 5}}

Simplify

5.0 = x \times \frac{10.0}{2.95735295625 \times 10^{- 5}}

Switch sides

x \times \frac{10.0}{2.95735295625 \times 10^{- 5}} = 5.0

Isolate

x

Multiply both sides by

(\frac{2.95735295625 \times 10^{- 5}}{10.0})

x \times \frac{10.0}{2.95735295625 \times 10^{- 5}} \times \frac{2.95735295625 \times 10^{- 5}}{10.0} = 5.0 \times \frac{2.95735295625 \times 10^{- 5}}{10.0}

Cancel

x \times \frac{10.0 \times 2.95735295625 \times 10^{- 5}}{2.95735295625 \times 10^{- 5} \times 10.0} = 5.0 \times \frac{2.95735295625 \times 10^{- 5}}{10.0}

Simplify

x = \frac{5.0 \times 2.95735295625 \times 10^{- 5}}{10.0}

Solve

x

x \approx 0.0000147868 \approx 1.4787 \times 10^{- 5}

Conversion Equation

1.0 (\frac{p o u n d}{l i t e r}) \approx 1.4787 \times 10^{- 5} (\frac{t o n}{f l u i d - o u n c e})

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