Convert erg to rydberg

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

Calculation Breakdown

Set up the equation

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

Right side: 1.0 (r y d b e r g) = 2.179872 \times 10^{- 18} (j o u l e) = 2.179872 \times 10^{- 18} (J)

Insert known values into the conversion equation to determine

x

1.0 (e r g) = x (r y d b e r g)

Insert known values =>

1.0 \times 10^{- 7} \times (j o u l e) = x \times 2.179872 \times 10^{- 18} \times (j o u l e)

Or

1.0 \cdot 10^{- 7} \cdot (J) = x \cdot 2.179872 \times 10^{- 18} \cdot (J)

Cancel SI units

1.0 \times 10^{- 7} \cdot (J) = x \times 2.179872 \times 10^{- 18} \times (J)

Conversion Equation

10^{- 7} = x \times 2.179872 \times 10^{- 18}

Cancel factors on both sides

Cancel factors

10^{- 7} = x \times 2.179872 \times {10^{- 18}}^{10^{- 11}}

Simplify

1.0 = x \times 2.179872 \times 10^{- 11}

Switch sides

x \times 2.179872 \times 10^{- 11} = 1.0

Isolate

x

Multiply both sides by

(\frac{1.0}{2.179872 \times 10^{- 11}})

x \times 2.179872 \times 10^{- 11} \times \frac{1.0}{2.179872 \times 10^{- 11}} = \times \frac{1.0}{2.179872 \times 10^{- 11}}

Cancel

x \times 2.179872 \times 10^{- 11} \times \frac{1.0}{2.179872 \times 10^{- 11}} = \frac{1.0}{2.179872 \times 10^{- 11}}

Simplify

x = \frac{1.0}{2.179872 \times 10^{- 11}}

Rewrite equation

\frac{1.0}{10^{- 11}} can be rewritten to 10^{11}

Rewrite

x = \frac{10^{11}}{2.179872}

Solve

x

x \approx 45874253167 \approx 4.5874 \times 10^{10}

Conversion Equation

1.0 (e r g) \approx 4.5874 \times 10^{10} (r y d b e r g)

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