Convert quad to gallon atmosphere

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

Calculation Breakdown

Set up the equation

1.0 (q u a d) = 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 (q u a d) = 1.05435026444 \times 10^{18} (j o u l e) = 1.05435026444 \times 10^{18} (J)

Right 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)

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times 1.05435026444 \times 10^{18} \times (j o u l e) = x \times 383.5568490138 \times (j o u l e)

Or

1.0 \cdot 1.05435026444 \times 10^{18} \cdot (J) = x \cdot 383.5568490138 \cdot (J)

Cancel SI units

1.0 \times 1.05435026444 \times 10^{18} \cdot (J) = x \times 383.5568490138 \times (J)

Conversion Equation

1.05435026444 \times 10^{18} = x \times 383.5568490138

Switch sides

x \times 383.5568490138 = 1.05435026444 \times 10^{18}

Isolate

x

Multiply both sides by

(\frac{1.0}{383.5568490138})

x \times 383.5568490138 \times \frac{1.0}{383.5568490138} = 1.05435026444 \times 10^{18} \times \frac{1.0}{383.5568490138}

Cancel

x \times 383.5568490138 \times \frac{1.0}{383.5568490138} = 1.05435026444 \times 10^{18} \times \frac{1.0}{383.5568490138}

Simplify

x = \frac{1.05435026444 \times 10^{18}}{383.5568490138}

Solve

x

x \approx 2.748876124 \times 10^{15} \approx 2.7489 \times 10^{15}

Conversion Equation

1.0 (q u a d) \approx 2.7489 \times 10^{15} (g a l l o n a t m o s p h e r e)

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