Convert ton of tnt to thermie

Learn how to convert 1 ton of tnt to thermie step by step.

Calculation Breakdown

Set up the equation

1.0 (t o n o f t n t) = x (t h e r m i 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 t n t) = 4.184 \times 10^{9} (j o u l e) = 4.184 \times 10^{9} (J)

Right side: 1.0 (t h e r m i e) = 4.1868 \times 10^{6} (j o u l e) = 4.1868 \times 10^{6} (J)

Insert known values into the conversion equation to determine

x

1.0 (t o n o f t n t) = x (t h e r m i e)

Insert known values =>

1.0 \times 4.184 \times 10^{9} \times (j o u l e) = x \times 4.1868 \times 10^{6} \times (j o u l e)

Or

1.0 \cdot 4.184 \times 10^{9} \cdot (J) = x \cdot 4.1868 \times 10^{6} \cdot (J)

Cancel SI units

1.0 \times 4.184 \times 10^{9} \cdot (J) = x \times 4.1868 \times 10^{6} \times (J)

Conversion Equation

4.184 \times 10^{9} = x \times 4.1868 \times 10^{6}

Cancel factors on both sides

Cancel factors

4.184 \times {10^{9}}^{10^{3}} = x \times 4.1868 \times 10^{6}

Simplify

4.184 \times 10^{3} = x \times 4.1868

Switch sides

x \times 4.1868 = 4.184 \times 10^{3}

Isolate

x

Multiply both sides by

(\frac{1.0}{4.1868})

x \times 4.1868 \times \frac{1.0}{4.1868} = 4.184 \times 10^{3} \times \frac{1.0}{4.1868}

Cancel

x \times 4.1868 \times \frac{1.0}{4.1868} = 4.184 \times 10^{3} \times \frac{1.0}{4.1868}

Simplify

x = \frac{4.184 \times 10^{3}}{4.1868}

Solve

x

x \approx 999.33123149 \approx 9.9933 \times 10^{2}

Conversion Equation

1.0 (t o n o f t n t) \approx 9.9933 \times 10^{2} (t h e r m i e)

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