Convert BTU to cubic meter of atmosphere

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

Calculation Breakdown

Set up the equation

1.0 (B T U) = x (c u b i c m e t e r o f 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 (B T U) = 1055.05585262 (j o u l e) = 1055.05585262 (J)

Right 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)

Insert known values into the conversion equation to determine

x

1.0 (B T U) = x (c u b i c m e t e r o f a t m o s p h e r e)

Insert known values =>

1.0 \times 1055.05585262 \times (j o u l e) = x \times 1.01325 \times 10^{- 4} \times (j o u l e)

Or

1.0 \cdot 1055.05585262 \cdot (J) = x \cdot 1.01325 \times 10^{- 4} \cdot (J)

Cancel SI units

1.0 \times 1055.05585262 \cdot (J) = x \times 1.01325 \times 10^{- 4} \times (J)

Conversion Equation

1055.05585262 = x \times 1.01325 \times 10^{- 4}

Switch sides

x \times 1.01325 \times 10^{- 4} = 1055.05585262

Isolate

x

Multiply both sides by

(\frac{1.0}{1.01325 \times 10^{- 4}})

x \times 1.01325 \times 10^{- 4} \times \frac{1.0}{1.01325 \times 10^{- 4}} = 1055.05585262 \times \frac{1.0}{1.01325 \times 10^{- 4}}

Cancel

x \times 1.01325 \times 10^{- 4} \times \frac{1.0}{1.01325 \times 10^{- 4}} = 1055.05585262 \times \frac{1.0}{1.01325 \times 10^{- 4}}

Simplify

x = \frac{1055.05585262}{1.01325 \times 10^{- 4}}

Rewrite equation

\frac{1.0}{10^{- 4}} can be rewritten to 10^{4}

Rewrite

x = \frac{10^{4} \times 1055.05585262}{1.01325}

Solve

x

x \approx 10412591.686 \approx 1.0413 \times 10^{7}

Conversion Equation

1.0 (B T U) \approx 1.0413 \times 10^{7} (c u b i c m e t e r o f a t m o s p h e r e)

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