Convert gallon atmosphere to BTU

Learn how to convert 1 gallon atmosphere to BTU 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 (B T U)

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 (B T U) = 1054.804 (j o u l e) = 1054.804 (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 (B T U)

Insert known values =>

1.0 \times 383.5568490138 \times (j o u l e) = x \times 1054.804 \times (j o u l e)

Or

1.0 \cdot 383.5568490138 \cdot (J) = x \cdot 1054.804 \cdot (J)

Cancel SI units

1.0 \times 383.5568490138 \cdot (J) = x \times 1054.804 \times (J)

Conversion Equation

383.5568490138 = x \times 1054.804

Switch sides

x \times 1054.804 = 383.5568490138

Isolate

x

Multiply both sides by

(\frac{1.0}{1054.804})

x \times 1054.804 \times \frac{1.0}{1054.804} = 383.5568490138 \times \frac{1.0}{1054.804}

Cancel

x \times 1054.804 \times \frac{1.0}{1054.804} = 383.5568490138 \times \frac{1.0}{1054.804}

Simplify

x = \frac{383.5568490138}{1054.804}

Solve

x

x \approx 0.36362855 \approx 3.6363 \times 10^{- 1}

Conversion Equation

1.0 (g a l l o n a t m o s p h e r e) \approx 3.6363 \times 10^{- 1} (B T U)

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