Convert pound / liter to tonne / fluid-ounce

Learn how to convert 1 pound / liter to tonne / 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 n e}{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 n e}{f l u i d - o u n c e}) = \frac{1016.0469088}{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{1016.0469088}{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 n e}{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{1016.0469088}{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{1016.0469088}{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{1016.0469088}{2.95735295625 \times 10^{- 5}} \times (\frac{k g}{m^{3}})

Conversion Equation

5.0 \times 10^{2} = x \times \frac{1016.0469088}{2.95735295625 \times 10^{- 5}}

Switch sides

x \times \frac{1016.0469088}{2.95735295625 \times 10^{- 5}} = 5.0 \times 10^{2}

Isolate

x

Multiply both sides by

(\frac{2.95735295625 \times 10^{- 5}}{1016.0469088})

x \times \frac{1016.0469088}{2.95735295625 \times 10^{- 5}} \times \frac{2.95735295625 \times 10^{- 5}}{1016.0469088} = 5.0 \times 10^{2} \times \frac{2.95735295625 \times 10^{- 5}}{1016.0469088}

Cancel

x \times \frac{1016.0469088 \times 2.95735295625 \times 10^{- 5}}{2.95735295625 \times 10^{- 5} \times 1016.0469088} = 5.0 \times 10^{2} \times \frac{2.95735295625 \times {10^{- 5}}^{10^{- 3}}}{1016.0469088}

Simplify

x = \frac{5.0 \times 2.95735295625 \times 10^{- 3}}{1016.0469088}

Solve

x

x \approx 0.0000145532 \approx 1.4553 \times 10^{- 5}

Conversion Equation

1.0 (\frac{p o u n d}{l i t e r}) \approx 1.4553 \times 10^{- 5} (\frac{t o n n e}{f l u i d - o u n c e})

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