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) = 460.63256925 (j o u l e) = 460.63256925 (J)

Right side: 1.0 (B T U) = 1055.87 (j o u l e) = 1055.87 (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 460.63256925 \times (j o u l e) = x \times 1055.87 \times (j o u l e)

Or

1.0 \cdot 460.63256925 \cdot (J) = x \cdot 1055.87 \cdot (J)

Cancel SI units

1.0 \times 460.63256925 \cdot (J) = x \times 1055.87 \times (J)

Conversion Equation

460.63256925 = x \times 1055.87

Switch sides

x \times 1055.87 = 460.63256925

Isolate

x

Multiply both sides by

(\frac{1.0}{1055.87})

x \times 1055.87 \times \frac{1.0}{1055.87} = 460.63256925 \times \frac{1.0}{1055.87}

Cancel

x \times 1055.87 \times \frac{1.0}{1055.87} = 460.63256925 \times \frac{1.0}{1055.87}

Simplify

x = \frac{460.63256925}{1055.87}

Solve

x

x \approx 0.4362587906 \approx 4.3626 \times 10^{- 1}

Conversion Equation

1.0 (g a l l o n a t m o s p h e r e) \approx 4.3626 \times 10^{- 1} (B T U)

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