Convert calorie to ton of coal

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

Calculation Breakdown

Set up the equation

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

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

(j o u l e)

Left side: 1.0 (c a l o r i e) = 4.1868 (j o u l e) = 4.1868 (J)

Right 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)

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times 4.1868 \times (j o u l e) = x \times 2.9288 \times 10^{10} \times (j o u l e)

Or

1.0 \cdot 4.1868 \cdot (J) = x \cdot 2.9288 \times 10^{10} \cdot (J)

Cancel SI units

1.0 \times 4.1868 \cdot (J) = x \times 2.9288 \times 10^{10} \times (J)

Conversion Equation

4.1868 = x \times 2.9288 \times 10^{10}

Switch sides

x \times 2.9288 \times 10^{10} = 4.1868

Isolate

x

Multiply both sides by

(\frac{1.0}{2.9288 \times 10^{10}})

x \times 2.9288 \times 10^{10} \times \frac{1.0}{2.9288 \times 10^{10}} = 4.1868 \times \frac{1.0}{2.9288 \times 10^{10}}

Cancel

x \times 2.9288 \times 10^{10} \times \frac{1.0}{2.9288 \times 10^{10}} = 4.1868 \times \frac{1.0}{2.9288 \times 10^{10}}

Simplify

x = \frac{4.1868}{2.9288 \times 10^{10}}

Rewrite equation

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

Rewrite

x = \frac{10^{- 10} \times 4.1868}{2.9288}

Solve

x

x \approx 0.0000000001 \approx 1.4295 \times 10^{- 10}

Conversion Equation

1.0 (c a l o r i e) \approx 1.4295 \times 10^{- 10} (t o n o f c o a l)

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