Convert large calorie to ton of tnt

Learn how to convert 1 large calorie to ton of tnt step by step.

Calculation Breakdown

Set up the equation

1.0 (l a r g e c a l o r i 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 (l a r g e c a l o r i e) = 4186.8 (j o u l e) = 4186.8 (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 (l a r g e c a l o r i e) = x (t o n o f t n t)

Insert known values =>

1.0 \times 4186.8 \times (j o u l e) = x \times 4.184 \times 10^{9} \times (j o u l e)

Or

1.0 \cdot 4186.8 \cdot (J) = x \cdot 4.184 \times 10^{9} \cdot (J)

Cancel SI units

1.0 \times 4186.8 \cdot (J) = x \times 4.184 \times 10^{9} \times (J)

Conversion Equation

4186.8 = x \times 4.184 \times 10^{9}

Switch sides

x \times 4.184 \times 10^{9} = 4186.8

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}} = 4186.8 \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}} = 4186.8 \times \frac{1.0}{4.184 \times 10^{9}}

Simplify

x = \frac{4186.8}{4.184 \times 10^{9}}

Rewrite equation

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

Rewrite

x = \frac{10^{- 9} \times 4186.8}{4.184}

Solve

x

x \approx 0.0000010007 \approx 1.0007 \times 10^{- 6}

Conversion Equation

1.0 (l a r g e c a l o r i e) \approx 1.0007 \times 10^{- 6} (t o n o f t n t)

View All Examples