Convert cubic meter of atmosphere to quad

Learn how to convert 1 cubic meter of atmosphere to quad 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 (q u a d)

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

Insert known values =>

1.0 \times 1.01325 \times 10^{- 4} \times (j o u l e) = x \times 1.05435026444 \times 10^{18} \times (j o u l e)

Or

1.0 \cdot 1.01325 \times 10^{- 4} \cdot (J) = x \cdot 1.05435026444 \times 10^{18} \cdot (J)

Cancel SI units

1.0 \times 1.01325 \times 10^{- 4} \cdot (J) = x \times 1.05435026444 \times 10^{18} \times (J)

Conversion Equation

1.01325 \times 10^{- 4} = x \times 1.05435026444 \times 10^{18}

Switch sides

x \times 1.05435026444 \times 10^{18} = 1.01325 \times 10^{- 4}

Isolate

x

Multiply both sides by

(\frac{1.0}{1.05435026444 \times 10^{18}})

x \times 1.05435026444 \times 10^{18} \times \frac{1.0}{1.05435026444 \times 10^{18}} = 1.01325 \times 10^{- 4} \times \frac{1.0}{1.05435026444 \times 10^{18}}

Cancel

x \times 1.05435026444 \times 10^{18} \times \frac{1.0}{1.05435026444 \times 10^{18}} = 1.01325 \times 10^{- 4} \times \frac{1.0}{1.05435026444 \times 10^{18}}

Simplify

x = \frac{1.01325 \times 10^{- 4}}{1.05435026444 \times 10^{18}}

Rewrite equation

\frac{1.0}{10^{18}} can be rewritten to 10^{- 18}

Rewrite

x = \frac{10^{- 18} \times 1.01325 \times 10^{- 4}}{1.05435026444}

Simplify

x = \frac{10^{- 22} \times 1.01325}{1.05435026444}

Solve

x

x \approx 9.6101839604 \times 10^{- 23} \approx 9.6102 \times 10^{- 23}

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 9.6102 \times 10^{- 23} (q u a d)

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