Convert calorie / hour to BTU / hour

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

Calculation Breakdown

Set up the equation

1.0 (\frac{c a l o r i e}{h o u r}) = x (\frac{B T U}{h o u r})

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

(w a t t)

Left side: 1.0 (\frac{c a l o r i e}{h o u r}) = \frac{4.1868}{3.6 \times 10^{3}} (w a t t) = \frac{4.1868}{3.6 \times 10^{3}} (W)

Right side: 1.0 (\frac{B T U}{h o u r}) = \frac{1054.5}{3.6 \times 10^{3}} (w a t t) = \frac{1054.5}{3.6 \times 10^{3}} (W)

Insert known values into the conversion equation to determine

x

1.0 (\frac{c a l o r i e}{h o u r}) = x (\frac{B T U}{h o u r})

Insert known values =>

1.0 \times \frac{4.1868}{3.6 \times 10^{3}} \times (w a t t) = x \times \frac{1054.5}{3.6 \times 10^{3}} \times (w a t t)

Or

1.0 \cdot \frac{4.1868}{3.6 \times 10^{3}} \cdot (W) = x \cdot \frac{1054.5}{3.6 \times 10^{3}} \cdot (W)

Cancel SI units

1.0 \times \frac{4.1868}{3.6 \times 10^{3}} \cdot (W) = x \times \frac{1054.5}{3.6 \times 10^{3}} \times (W)

Conversion Equation

\frac{4.1868}{3.6 \times 10^{3}} = x \times \frac{1054.5}{3.6 \times 10^{3}}

Cancel factors on both sides

Cancel factors

\frac{4.1868}{3.6 \times 10^{3}} = x \times \frac{1054.5}{3.6 \times 10^{3}}

Simplify

4.1868 = x \times 1054.5

Switch sides

x \times 1054.5 = 4.1868

Isolate

x

Multiply both sides by

(\frac{1.0}{1054.5})

x \times 1054.5 \times \frac{1.0}{1054.5} = 4.1868 \times \frac{1.0}{1054.5}

Cancel

x \times 1054.5 \times \frac{1.0}{1054.5} = 4.1868 \times \frac{1.0}{1054.5}

Simplify

x = \frac{4.1868}{1054.5}

Solve

x

x \approx 0.0039704125 \approx 3.9704 \times 10^{- 3}

Conversion Equation

1.0 (\frac{c a l o r i e}{h o u r}) \approx 3.9704 \times 10^{- 3} (\frac{B T U}{h o u r})

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