Convert BTU / hour to calorie / hour

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

Calculation Breakdown

Set up the equation

1.0 (\frac{B T U}{h o u r}) = x (\frac{c a l o r i e}{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{B T U}{h o u r}) = \frac{1054.35026444}{3.6 \times 10^{3}} (w a t t) = \frac{1054.35026444}{3.6 \times 10^{3}} (W)

Right side: 1.0 (\frac{c a l o r i e}{h o u r}) = \frac{4.184}{3.6 \times 10^{3}} (w a t t) = \frac{4.184}{3.6 \times 10^{3}} (W)

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times \frac{1054.35026444}{3.6 \times 10^{3}} \times (w a t t) = x \times \frac{4.184}{3.6 \times 10^{3}} \times (w a t t)

Or

1.0 \cdot \frac{1054.35026444}{3.6 \times 10^{3}} \cdot (W) = x \cdot \frac{4.184}{3.6 \times 10^{3}} \cdot (W)

Cancel SI units

1.0 \times \frac{1054.35026444}{3.6 \times 10^{3}} \cdot (W) = x \times \frac{4.184}{3.6 \times 10^{3}} \times (W)

Conversion Equation

\frac{1054.35026444}{3.6 \times 10^{3}} = x \times \frac{4.184}{3.6 \times 10^{3}}

Cancel factors on both sides

Cancel factors

\frac{1054.35026444}{3.6 \times 10^{3}} = x \times \frac{4.184}{3.6 \times 10^{3}}

Simplify

1054.35026444 = x \times 4.184

Switch sides

x \times 4.184 = 1054.35026444

Isolate

x

Multiply both sides by

(\frac{1.0}{4.184})

x \times 4.184 \times \frac{1.0}{4.184} = 1054.35026444 \times \frac{1.0}{4.184}

Cancel

x \times 4.184 \times \frac{1.0}{4.184} = 1054.35026444 \times \frac{1.0}{4.184}

Simplify

x = \frac{1054.35026444}{4.184}

Solve

x

x \approx 251.9957611 \approx 2.52 \times 10^{2}

Conversion Equation

1.0 (\frac{B T U}{h o u r}) \approx 2.52 \times 10^{2} (\frac{c a l o r i e}{h o u r})

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