Convert erg to BTU

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

Calculation Breakdown

Set up the equation

1.0 (e r g) = 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 (e r g) = 10^{- 7} (j o u l e) = 10^{- 7} (J)

Right side: 1.0 (B T U) = 1054.5 (j o u l e) = 1054.5 (J)

Insert known values into the conversion equation to determine

x

1.0 (e r g) = x (B T U)

Insert known values =>

1.0 \times 10^{- 7} \times (j o u l e) = x \times 1054.5 \times (j o u l e)

Or

1.0 \cdot 10^{- 7} \cdot (J) = x \cdot 1054.5 \cdot (J)

Cancel SI units

1.0 \times 10^{- 7} \cdot (J) = x \times 1054.5 \times (J)

Conversion Equation

10^{- 7} = x \times 1054.5

Switch sides

x \times 1054.5 = 10^{- 7}

Isolate

x

Multiply both sides by

(\frac{1.0}{1054.5})

x \times 1054.5 \times \frac{1.0}{1054.5} = 10^{- 7} \times \frac{1.0}{1054.5}

Cancel

x \times 1054.5 \times \frac{1.0}{1054.5} = 10^{- 7} \times \frac{1.0}{1054.5}

Simplify

x = \frac{10^{- 7}}{1054.5}

Solve

x

x \approx 9.4831673779 \times 10^{- 11} \approx 9.4832 \times 10^{- 11}

Conversion Equation

1.0 (e r g) \approx 9.4832 \times 10^{- 11} (B T U)

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