Convert ton of coal to cubic foot of natural gas

Learn how to convert 1 ton of coal to cubic foot of natural gas step by step.

Calculation Breakdown

Set up the equation

1.0 (t o n o f c o a l) = x (c u b i c f o o t o f n a t u r a l g a s)

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 (c u b i c f o o t o f n a t u r a l g a s) = 1055055.85262 (j o u l e) = 1055055.85262 (J)

Insert known values into the conversion equation to determine

x

1.0 (t o n o f c o a l) = x (c u b i c f o o t o f n a t u r a l g a s)

Insert known values =>

1.0 \times 2.9288 \times 10^{10} \times (j o u l e) = x \times 1055055.85262 \times (j o u l e)

Or

1.0 \cdot 2.9288 \times 10^{10} \cdot (J) = x \cdot 1055055.85262 \cdot (J)

Cancel SI units

1.0 \times 2.9288 \times 10^{10} \cdot (J) = x \times 1055055.85262 \times (J)

Conversion Equation

2.9288 \times 10^{10} = x \times 1055055.85262

Switch sides

x \times 1055055.85262 = 2.9288 \times 10^{10}

Isolate

x

Multiply both sides by

(\frac{1.0}{1055055.85262})

x \times 1055055.85262 \times \frac{1.0}{1055055.85262} = 2.9288 \times 10^{10} \times \frac{1.0}{1055055.85262}

Cancel

x \times 1055055.85262 \times \frac{1.0}{1055055.85262} = 2.9288 \times 10^{10} \times \frac{1.0}{1055055.85262}

Simplify

x = \frac{2.9288 \times 10^{10}}{1055055.85262}

Solve

x

x \approx 27759.66782 \approx 2.776 \times 10^{4}

Conversion Equation

1.0 (t o n o f c o a l) \approx 2.776 \times 10^{4} (c u b i c f o o t o f n a t u r a l g a s)

View All Examples