Convert cubic meter of atmosphere to gallon atmosphere

Learn how to convert 1 cubic meter of atmosphere to gallon atmosphere step by step.

Calculation Breakdown

Set up the equation

1.0 (c u b i c m e t e r o f a t m o s p h e r e) = x (g a l l o n 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 (c u b i c m e t e r o f a t m o s p h e r e) = 1.01325 \times 10^{- 4} (j o u l e) = 1.01325 \times 10^{- 4} (J)

Right side: 1.0 (g a l l o n a t m o s p h e r e) = 460.63256925 (j o u l e) = 460.63256925 (J)

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times 1.01325 \times 10^{- 4} \times (j o u l e) = x \times 460.63256925 \times (j o u l e)

Or

1.0 \cdot 1.01325 \times 10^{- 4} \cdot (J) = x \cdot 460.63256925 \cdot (J)

Cancel SI units

1.0 \times 1.01325 \times 10^{- 4} \cdot (J) = x \times 460.63256925 \times (J)

Conversion Equation

1.01325 \times 10^{- 4} = x \times 460.63256925

Switch sides

x \times 460.63256925 = 1.01325 \times 10^{- 4}

Isolate

x

Multiply both sides by

(\frac{1.0}{460.63256925})

x \times 460.63256925 \times \frac{1.0}{460.63256925} = 1.01325 \times 10^{- 4} \times \frac{1.0}{460.63256925}

Cancel

x \times 460.63256925 \times \frac{1.0}{460.63256925} = 1.01325 \times 10^{- 4} \times \frac{1.0}{460.63256925}

Simplify

x = \frac{1.01325 \times 10^{- 4}}{460.63256925}

Solve

x

x \approx 0.00000022 \approx 2.1997 \times 10^{- 7}

Conversion Equation

1.0 (c u b i c m e t e r o f a t m o s p h e r e) \approx 2.1997 \times 10^{- 7} (g a l l o n a t m o s p h e r e)

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