Convert large calorie to BTU

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

Calculation Breakdown

Set up the equation

1.0 (l a r g e 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 (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 (B T U) = 1054.35026444 (j o u l e) = 1054.35026444 (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 (B T U)

Insert known values =>

1.0 \times 4186.8 \times (j o u l e) = x \times 1054.35026444 \times (j o u l e)

Or

1.0 \cdot 4186.8 \cdot (J) = x \cdot 1054.35026444 \cdot (J)

Cancel SI units

1.0 \times 4186.8 \cdot (J) = x \times 1054.35026444 \times (J)

Conversion Equation

4186.8 = x \times 1054.35026444

Switch sides

x \times 1054.35026444 = 4186.8

Isolate

x

Multiply both sides by

(\frac{1.0}{1054.35026444})

x \times 1054.35026444 \times \frac{1.0}{1054.35026444} = 4186.8 \times \frac{1.0}{1054.35026444}

Cancel

x \times 1054.35026444 \times \frac{1.0}{1054.35026444} = 4186.8 \times \frac{1.0}{1054.35026444}

Simplify

x = \frac{4186.8}{1054.35026444}

Solve

x

x \approx 3.9709763835 \approx 3.971

Conversion Equation

1.0 (l a r g e c a l o r i e) \approx 3.971 (B T U)

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