Convert cubic yard of atmosphere to ton of tnt

Learn how to convert 1 cubic yard of atmosphere to ton of tnt step by step.

Calculation Breakdown

Set up the equation

1.0 (c u b i c y a r d o f a t m o s p h e r e) = x (t o n o f t n t)

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

(j o u l e)

Left side: 1.0 (c u b i c y a r d o f a t m o s p h e r e) = 77468.5209852288 (j o u l e) = 77468.5209852288 (J)

Right side: 1.0 (t o n o f t n t) = 4.184 \times 10^{9} (j o u l e) = 4.184 \times 10^{9} (J)

Insert known values into the conversion equation to determine

x

1.0 (c u b i c y a r d o f a t m o s p h e r e) = x (t o n o f t n t)

Insert known values =>

1.0 \times 77468.5209852288 \times (j o u l e) = x \times 4.184 \times 10^{9} \times (j o u l e)

Or

1.0 \cdot 77468.5209852288 \cdot (J) = x \cdot 4.184 \times 10^{9} \cdot (J)

Cancel SI units

1.0 \times 77468.5209852288 \cdot (J) = x \times 4.184 \times 10^{9} \times (J)

Conversion Equation

77468.5209852288 = x \times 4.184 \times 10^{9}

Switch sides

x \times 4.184 \times 10^{9} = 77468.5209852288

Isolate

x

Multiply both sides by

(\frac{1.0}{4.184 \times 10^{9}})

x \times 4.184 \times 10^{9} \times \frac{1.0}{4.184 \times 10^{9}} = 77468.5209852288 \times \frac{1.0}{4.184 \times 10^{9}}

Cancel

x \times 4.184 \times 10^{9} \times \frac{1.0}{4.184 \times 10^{9}} = 77468.5209852288 \times \frac{1.0}{4.184 \times 10^{9}}

Simplify

x = \frac{77468.5209852288}{4.184 \times 10^{9}}

Rewrite equation

\frac{1.0}{10^{9}} can be rewritten to 10^{- 9}

Rewrite

x = \frac{10^{- 9} \times 77468.5209852288}{4.184}

Solve

x

x \approx 0.0000185154 \approx 1.8515 \times 10^{- 5}

Conversion Equation

1.0 (c u b i c y a r d o f a t m o s p h e r e) \approx 1.8515 \times 10^{- 5} (t o n o f t n t)

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