Convert BTU to atomic unit of energy

Learn how to convert 1 BTU to atomic unit of energy step by step.

Calculation Breakdown

Set up the equation

1.0 (B T U) = x (a t o m i c u n i t o f e n e r g y)

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) = 1054.35026444 (j o u l e) = 1054.35026444 (J)

Right side: 1.0 (a t o m i c u n i t o f e n e r g y) = 4.359744 \times 10^{- 18} (j o u l e) = 4.359744 \times 10^{- 18} (J)

Insert known values into the conversion equation to determine

x

1.0 (B T U) = x (a t o m i c u n i t o f e n e r g y)

Insert known values =>

1.0 \times 1054.35026444 \times (j o u l e) = x \times 4.359744 \times 10^{- 18} \times (j o u l e)

Or

1.0 \cdot 1054.35026444 \cdot (J) = x \cdot 4.359744 \times 10^{- 18} \cdot (J)

Cancel SI units

1.0 \times 1054.35026444 \cdot (J) = x \times 4.359744 \times 10^{- 18} \times (J)

Conversion Equation

1054.35026444 = x \times 4.359744 \times 10^{- 18}

Switch sides

x \times 4.359744 \times 10^{- 18} = 1054.35026444

Isolate

x

Multiply both sides by

(\frac{1.0}{4.359744 \times 10^{- 18}})

x \times 4.359744 \times 10^{- 18} \times \frac{1.0}{4.359744 \times 10^{- 18}} = 1054.35026444 \times \frac{1.0}{4.359744 \times 10^{- 18}}

Cancel

x \times 4.359744 \times 10^{- 18} \times \frac{1.0}{4.359744 \times 10^{- 18}} = 1054.35026444 \times \frac{1.0}{4.359744 \times 10^{- 18}}

Simplify

x = \frac{1054.35026444}{4.359744 \times 10^{- 18}}

Rewrite equation

\frac{1.0}{10^{- 18}} can be rewritten to 10^{18}

Rewrite

x = \frac{10^{18} \times 1054.35026444}{4.359744}

Solve

x

x \approx 2.4183765479 \times 10^{20} \approx 2.4184 \times 10^{20}

Conversion Equation

1.0 (B T U) \approx 2.4184 \times 10^{20} (a t o m i c u n i t o f e n e r g y)

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