Convert calorie / second to BTU / hour

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

Calculation Breakdown

Set up the equation

1.0 (\frac{c a l o r i e}{s e c o n d}) = 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}{s e c o n d}) = 4.184 (w a t t) = 4.184 (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}{s e c o n d}) = x (\frac{B T U}{h o u r})

Insert known values =>

1.0 \times 4.184 \times (w a t t) = x \times \frac{1054.5}{3.6 \times 10^{3}} \times (w a t t)

Or

1.0 \cdot 4.184 \cdot (W) = x \cdot \frac{1054.5}{3.6 \times 10^{3}} \cdot (W)

Cancel SI units

1.0 \times 4.184 \cdot (W) = x \times \frac{1054.5}{3.6 \times 10^{3}} \times (W)

Conversion Equation

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

Switch sides

x \times \frac{1054.5}{3.6 \times 10^{3}} = 4.184

Isolate

x

Multiply both sides by

(\frac{3.6 \times 10^{3}}{1054.5})

x \times \frac{1054.5}{3.6 \times 10^{3}} \times \frac{3.6 \times 10^{3}}{1054.5} = 4.184 \times \frac{3.6 \times 10^{3}}{1054.5}

Cancel

x \times \frac{1054.5 \times 3.6 \times 10^{3}}{3.6 \times 10^{3} \times 1054.5} = 4.184 \times \frac{3.6 \times 10^{3}}{1054.5}

Simplify

x = \frac{4.184 \times 3.6 \times 10^{3}}{1054.5}

Solve

x

x \approx 14.283926031 \approx 14.2839

Conversion Equation

1.0 (\frac{c a l o r i e}{s e c o n d}) \approx 14.2839 (\frac{B T U}{h o u r})

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