Convert barrel of oil to ton of coal

Learn how to convert 1 barrel of oil to ton of coal step by step.

Calculation Breakdown

Set up the equation

1.0 (b a r r e l o f o i l) = 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 (b a r r e l o f o i l) = 6.1178632 \times 10^{9} (j o u l e) = 6.1178632 \times 10^{9} (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 (b a r r e l o f o i l) = x (t o n o f c o a l)

Insert known values =>

1.0 \times 6.1178632 \times 10^{9} \times (j o u l e) = x \times 2.9288 \times 10^{10} \times (j o u l e)

Or

1.0 \cdot 6.1178632 \times 10^{9} \cdot (J) = x \cdot 2.9288 \times 10^{10} \cdot (J)

Cancel SI units

1.0 \times 6.1178632 \times 10^{9} \cdot (J) = x \times 2.9288 \times 10^{10} \times (J)

Conversion Equation

6.1178632 \times 10^{9} = x \times 2.9288 \times 10^{10}

Cancel factors on both sides

Cancel factors

6.1178632 \times 10^{9} = x \times 2.9288 \times {10^{10}}^{10}

Simplify

6.1178632 = x \times 2.9288 \times 10.0

Switch sides

x \times 2.9288 \times 10.0 = 6.1178632

Isolate

x

Multiply both sides by

(\frac{1.0}{2.9288 \times 10.0})

x \times 2.9288 \times 10.0 \times \frac{1.0}{2.9288 \times 10.0} = 6.1178632 \times \frac{1.0}{2.9288 \times 10.0}

Cancel

x \times 2.9288 \times 10.0 \times \frac{1.0}{2.9288 \times 10.0} = 6.1178632 \times \frac{1.0}{2.9288 \times 10.0}

Simplify

x = \frac{6.1178632}{2.9288 \times 10.0}

Solve

x

x \approx 0.2088863425 \approx 2.0889 \times 10^{- 1}

Conversion Equation

1.0 (b a r r e l o f o i l) \approx 2.0889 \times 10^{- 1} (t o n o f c o a l)

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