Convert BTU / second to joules / hour

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

Calculation Breakdown

Set up the equation

1.0 (\frac{B T U}{s e c o n d}) = x (\frac{j o u l e s}{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}{s e c o n d}) = 1054.35026444 (w a t t) = 1054.35026444 (W)

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

Insert known values into the conversion equation to determine

x

1.0 (\frac{B T U}{s e c o n d}) = x (\frac{j o u l e s}{h o u r})

Insert known values =>

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

Or

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

Cancel SI units

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

Conversion Equation

1054.35026444 = x \times \frac{1.0}{3.6 \times 10^{3}}

Switch sides

x \times \frac{1.0}{3.6 \times 10^{3}} = 1054.35026444

Isolate

x

Multiply both sides by

(\frac{3.6 \times 10^{3}}{1.0})

x \times \frac{1.0}{3.6 \times 10^{3}} \times \frac{3.6 \times 10^{3}}{1.0} = 1054.35026444 \times \frac{3.6 \times 10^{3}}{1.0}

Cancel

x \times \frac{1.0 \times 3.6 \times 10^{3}}{3.6 \times 10^{3} \times 1.0} = 1054.35026444 \times \frac{3.6 \times 10^{3}}{1.0}

Simplify

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

Solve

x

x = 3795660.952 \approx 3.7957 \times 10^{6}

Conversion Equation

1.0 (\frac{B T U}{s e c o n d}) \approx 3.7957 \times 10^{6} (\frac{j o u l e s}{h o u r})

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