Convert grain / barrel to gram / liter

Learn how to convert 1 grain / barrel to gram / liter step by step.

Calculation Breakdown

Set up the equation

1.0 (\frac{g r a i n}{b a r r e l}) = x (\frac{g r a m}{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{g r a i n}{b a r r e l}) = \frac{6.479891 \times 10^{- 5}}{0.16365924} (\frac{k i l o g r a m}{c u b i c m e t e r}) = \frac{6.479891 \times 10^{- 5}}{0.16365924} (\frac{k g}{m^{3}})

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

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times \frac{6.479891 \times 10^{- 5}}{0.16365924} \times (\frac{k i l o g r a m}{c u b i c m e t e r}) = x \times 1.0 \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{6.479891 \times 10^{- 5}}{0.16365924} \cdot (\frac{k g}{m^{3}}) = x \cdot 1.0 \cdot (\frac{k g}{m^{3}})

Cancel SI units

1.0 \times \frac{6.479891 \times 10^{- 5}}{0.16365924} \cdot (\frac{k g}{m^{3}}) = x \times 1.0 \times (\frac{k g}{m^{3}})

Conversion Equation

\frac{6.479891 \times 10^{- 5}}{0.16365924} = x \times 1.0

Simplify

\frac{6.479891 \times 10^{- 5}}{0.16365924} = x

Switch sides

x = \frac{6.479891 \times 10^{- 5}}{0.16365924}

Solve

x

x \approx 0.000395938 \approx 3.9594 \times 10^{- 4}

Conversion Equation

1.0 (\frac{g r a i n}{b a r r e l}) \approx 3.9594 \times 10^{- 4} (\frac{g r a m}{l i t e r})

View All Examples