Convert ton of coal to hartree

Learn how to convert 1 ton of coal to hartree step by step.

Calculation Breakdown

Set up the equation

1.0 (t o n o f c o a l) = x (h a r t r e e)

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

(j o u l e)

Left side: 1.0 (t o n o f c o a l) = 2.9288 \times 10^{10} (j o u l e) = 2.9288 \times 10^{10} (J)

Right side: 1.0 (h a r t r e e) = 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 (t o n o f c o a l) = x (h a r t r e e)

Insert known values =>

1.0 \times 2.9288 \times 10^{10} \times (j o u l e) = x \times 4.359744 \times 10^{- 18} \times (j o u l e)

Or

1.0 \cdot 2.9288 \times 10^{10} \cdot (J) = x \cdot 4.359744 \times 10^{- 18} \cdot (J)

Cancel SI units

1.0 \times 2.9288 \times 10^{10} \cdot (J) = x \times 4.359744 \times 10^{- 18} \times (J)

Conversion Equation

2.9288 \times 10^{10} = x \times 4.359744 \times 10^{- 18}

Switch sides

x \times 4.359744 \times 10^{- 18} = 2.9288 \times 10^{10}

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}} = 2.9288 \times 10^{10} \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}} = 2.9288 \times 10^{10} \times \frac{1.0}{4.359744 \times 10^{- 18}}

Simplify

x = \frac{2.9288 \times 10^{10}}{4.359744 \times 10^{- 18}}

Rewrite equation

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

Rewrite

x = \frac{10^{18} \times 2.9288 \times 10^{10}}{4.359744}

Simplify

x = \frac{10^{28} \times 2.9288}{4.359744}

Solve

x

x \approx 6.7178256338 \times 10^{27} \approx 6.7178 \times 10^{27}

Conversion Equation

1.0 (t o n o f c o a l) \approx 6.7178 \times 10^{27} (h a r t r e e)

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