Convert gallon atmosphere to liter atmosphere

Learn how to convert 1 gallon atmosphere to liter atmosphere step by step.

Calculation Breakdown

Set up the equation

1.0 (g a l l o n a t m o s p h e r e) = x (l i t e r a t m o s p h e r e)

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

(j o u l e)

Left side: 1.0 (g a l l o n a t m o s p h e r e) = 383.5568490138 (j o u l e) = 383.5568490138 (J)

Right side: 1.0 (l i t e r a t m o s p h e r e) = 101.325 (j o u l e) = 101.325 (J)

Insert known values into the conversion equation to determine

x

1.0 (g a l l o n a t m o s p h e r e) = x (l i t e r a t m o s p h e r e)

Insert known values =>

1.0 \times 383.5568490138 \times (j o u l e) = x \times 101.325 \times (j o u l e)

Or

1.0 \cdot 383.5568490138 \cdot (J) = x \cdot 101.325 \cdot (J)

Cancel SI units

1.0 \times 383.5568490138 \cdot (J) = x \times 101.325 \times (J)

Conversion Equation

383.5568490138 = x \times 101.325

Switch sides

x \times 101.325 = 383.5568490138

Isolate

x

Multiply both sides by

(\frac{1.0}{101.325})

x \times 101.325 \times \frac{1.0}{101.325} = 383.5568490138 \times \frac{1.0}{101.325}

Cancel

x \times 101.325 \times \frac{1.0}{101.325} = 383.5568490138 \times \frac{1.0}{101.325}

Simplify

x = \frac{383.5568490138}{101.325}

Solve

x

x = 3.785411784 \approx 3.7854

Conversion Equation

1.0 (g a l l o n a t m o s p h e r e) \approx 3.7854 (l i t e r a t m o s p h e r e)

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