Convert erg to ton of oil

Learn how to convert 1 erg to ton of oil step by step.

Calculation Breakdown

Set up the equation

1.0 (e r g) = x (t o n o f o i l)

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 (t o n o f o i l) = 4.184 \times 10^{10} (j o u l e) = 4.184 \times 10^{10} (J)

Insert known values into the conversion equation to determine

x

1.0 (e r g) = x (t o n o f o i l)

Insert known values =>

1.0 \times 10^{- 7} \times (j o u l e) = x \times 4.184 \times 10^{10} \times (j o u l e)

Or

1.0 \cdot 10^{- 7} \cdot (J) = x \cdot 4.184 \times 10^{10} \cdot (J)

Cancel SI units

1.0 \times 10^{- 7} \cdot (J) = x \times 4.184 \times 10^{10} \times (J)

Conversion Equation

10^{- 7} = x \times 4.184 \times 10^{10}

Switch sides

x \times 4.184 \times 10^{10} = 10^{- 7}

Isolate

x

Multiply both sides by

(\frac{1.0}{4.184 \times 10^{10}})

x \times 4.184 \times 10^{10} \times \frac{1.0}{4.184 \times 10^{10}} = 10^{- 7} \times \frac{1.0}{4.184 \times 10^{10}}

Cancel

x \times 4.184 \times 10^{10} \times \frac{1.0}{4.184 \times 10^{10}} = 10^{- 7} \times \frac{1.0}{4.184 \times 10^{10}}

Simplify

x = \frac{10^{- 7}}{4.184 \times 10^{10}}

Rewrite equation

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

Rewrite

x = \frac{10^{- 10} \times 10^{- 7}}{4.184}

Simplify

x = \frac{10^{- 17}}{4.184}

Solve

x

x \approx 2.3900573614 \times 10^{- 18} \approx 2.3901 \times 10^{- 18}

Conversion Equation

1.0 (e r g) \approx 2.3901 \times 10^{- 18} (t o n o f o i l)

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