Convert (gram • meter) / second to electronvolt

Learn how to convert 1 (gram • meter) / second to electronvolt step by step.

Calculation Breakdown

Set up the equation

1.0 (\frac{g r a m \times m e t e r}{s e c o n d}) = x (e l e c t r o n v o l t)

Define the base values of the selected units in relation to the SI unit

(j o u l e)

Left side: 1.0 (\frac{g r a m \times m e t e r}{s e c o n d}) = 10^{- 3} (j o u l e) = 10^{- 3} (J)

Right side: 1.0 (e l e c t r o n v o l t) = 1.602176462 \times 10^{- 19} (j o u l e) = 1.602176462 \times 10^{- 19} (J)

Insert known values into the conversion equation to determine

x

1.0 (\frac{g r a m \times m e t e r}{s e c o n d}) = x (e l e c t r o n v o l t)

Insert known values =>

1.0 \times 10^{- 3} \times (j o u l e) = x \times 1.602176462 \times 10^{- 19} \times (j o u l e)

Or

1.0 \cdot 10^{- 3} \cdot (J) = x \cdot 1.602176462 \times 10^{- 19} \cdot (J)

Cancel SI units

1.0 \times 10^{- 3} \cdot (J) = x \times 1.602176462 \times 10^{- 19} \times (J)

Conversion Equation

10^{- 3} = x \times 1.602176462 \times 10^{- 19}

Cancel factors on both sides

Cancel factors

10^{- 3} = x \times 1.602176462 \times {10^{- 19}}^{10^{- 16}}

Simplify

1.0 = x \times 1.602176462 \times 10^{- 16}

Switch sides

x \times 1.602176462 \times 10^{- 16} = 1.0

Isolate

x

Multiply both sides by

(\frac{1.0}{1.602176462 \times 10^{- 16}})

x \times 1.602176462 \times 10^{- 16} \times \frac{1.0}{1.602176462 \times 10^{- 16}} = \times \frac{1.0}{1.602176462 \times 10^{- 16}}

Cancel

x \times 1.602176462 \times 10^{- 16} \times \frac{1.0}{1.602176462 \times 10^{- 16}} = \frac{1.0}{1.602176462 \times 10^{- 16}}

Simplify

x = \frac{1.0}{1.602176462 \times 10^{- 16}}

Rewrite equation

\frac{1.0}{10^{- 16}} can be rewritten to 10^{16}

Rewrite

x = \frac{10^{16}}{1.602176462}

Solve

x

x \approx 6.2415097445 \times 10^{15} \approx 6.2415 \times 10^{15}

Conversion Equation

1.0 (\frac{g r a m \times m e t e r}{s e c o n d}) \approx 6.2415 \times 10^{15} (e l e c t r o n v o l t)

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