Convert calorie to BTU

Learn how to convert 1 calorie to BTU step by step.

Calculation Breakdown

Set up the equation

1.0 (c a l o r i e) = x (B T U)

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

(j o u l e)

Left side: 1.0 (c a l o r i e) = 4.184 (j o u l e) = 4.184 (J)

Right side: 1.0 (B T U) = 1054.804 (j o u l e) = 1054.804 (J)

Insert known values into the conversion equation to determine

x

1.0 (c a l o r i e) = x (B T U)

Insert known values =>

1.0 \times 4.184 \times (j o u l e) = x \times 1054.804 \times (j o u l e)

Or

1.0 \cdot 4.184 \cdot (J) = x \cdot 1054.804 \cdot (J)

Cancel SI units

1.0 \times 4.184 \cdot (J) = x \times 1054.804 \times (J)

Conversion Equation

4.184 = x \times 1054.804

Switch sides

x \times 1054.804 = 4.184

Isolate

x

Multiply both sides by

(\frac{1.0}{1054.804})

x \times 1054.804 \times \frac{1.0}{1054.804} = 4.184 \times \frac{1.0}{1054.804}

Cancel

x \times 1054.804 \times \frac{1.0}{1054.804} = 4.184 \times \frac{1.0}{1054.804}

Simplify

x = \frac{4.184}{1054.804}

Solve

x

x \approx 0.0039666137 \approx 3.9666 \times 10^{- 3}

Conversion Equation

1.0 (c a l o r i e) \approx 3.9666 \times 10^{- 3} (B T U)

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