Convert joule to BTU

Learn how to convert 1 joule to BTU step by step.

Calculation Breakdown

Set up the equation

1.0 (j o u l 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 (j o u l e) = 1.0 (j o u l e) = 1.0 (J)

Right side: 1.0 (B T U) = 1055.05585262 (j o u l e) = 1055.05585262 (J)

Insert known values into the conversion equation to determine

x

1.0 (j o u l e) = x (B T U)

Insert known values =>

1.0 \times 1.0 \times (j o u l e) = x \times 1055.05585262 \times (j o u l e)

Or

1.0 \cdot 1.0 \cdot (J) = x \cdot 1055.05585262 \cdot (J)

Cancel SI units

1.0 \times 1.0 \cdot (J) = x \times 1055.05585262 \times (J)

Conversion Equation

1.0 = x \times 1055.05585262

Simplify

1.0 = x \times 1055.05585262

Switch sides

x \times 1055.05585262 = 1.0

Isolate

x

Multiply both sides by

(\frac{1.0}{1055.05585262})

x \times 1055.05585262 \times \frac{1.0}{1055.05585262} = 1.0 \times \frac{1.0}{1055.05585262}

Cancel

x \times 1055.05585262 \times \frac{1.0}{1055.05585262} = 1.0 \times \frac{1.0}{1055.05585262}

Simplify

x = \frac{1.0}{1055.05585262}

Solve

x

x \approx 0.0009478171 \approx 9.4782 \times 10^{- 4}

Conversion Equation

1.0 (j o u l e) \approx 9.4782 \times 10^{- 4} (B T U)

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