Convert BTU to erg

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

Calculation Breakdown

Set up the equation

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

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) = 1054.5 (j o u l e) = 1054.5 (J)

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

Insert known values into the conversion equation to determine

x

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

Insert known values =>

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

Or

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

Cancel SI units

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

Conversion Equation

1054.5 = x \times 10^{- 7}

Switch sides

x \times 10^{- 7} = 1054.5

Isolate

x

Multiply both sides by

(\frac{1.0}{10^{- 7}})

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

Cancel

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

Simplify

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

Rewrite equation

\frac{1.0}{10^{- 7}} can be rewritten to 10^{7}

Rewrite

x = 10^{7} \times 1054.5

Solve

x

x = 10545000000 = 1.0545 \times 10^{10}

Conversion Equation

1.0 (B T U) = 1.0545 \times 10^{10} (e r g)

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