Convert erg / hour to BTU / minute

Learn how to convert 1 erg / hour to BTU / minute step by step.

Calculation Breakdown

Set up the equation

1.0 (\frac{e r g}{h o u r}) = x (\frac{B T U}{m i n u t e})

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

(w a t t)

Left side: 1.0 (\frac{e r g}{h o u r}) = \frac{10^{- 7}}{3.6 \times 10^{3}} (w a t t) = \frac{10^{- 7}}{3.6 \times 10^{3}} (W)

Right side: 1.0 (\frac{B T U}{m i n u t e}) = \frac{1054.5}{60.0} (w a t t) = \frac{1054.5}{60.0} (W)

Insert known values into the conversion equation to determine

x

1.0 (\frac{e r g}{h o u r}) = x (\frac{B T U}{m i n u t e})

Insert known values =>

1.0 \times \frac{10^{- 7}}{3.6 \times 10^{3}} \times (w a t t) = x \times \frac{1054.5}{60.0} \times (w a t t)

Or

1.0 \cdot \frac{10^{- 7}}{3.6 \times 10^{3}} \cdot (W) = x \cdot \frac{1054.5}{60.0} \cdot (W)

Cancel SI units

1.0 \times \frac{10^{- 7}}{3.6 \times 10^{3}} \cdot (W) = x \times \frac{1054.5}{60.0} \times (W)

Conversion Equation

\frac{10^{- 7}}{3.6 \times 10^{3}} = x \times \frac{1054.5}{60.0}

Switch sides

x \times \frac{1054.5}{60.0} = \frac{10^{- 7}}{3.6 \times 10^{3}}

Isolate

x

Multiply both sides by

(\frac{60.0}{1054.5})

x \times \frac{1054.5}{60.0} \times \frac{60.0}{1054.5} = \frac{10^{- 7}}{3.6 \times 10^{3}} \times \frac{60.0}{1054.5}

Cancel

x \times \frac{1054.5 \times 60.0}{60.0 \times 1054.5} = \frac{10^{- 7} \times 60.0}{3.6 \times 10^{3} \times 1054.5}

Simplify

x = \frac{10^{- 7} \times 60.0}{3.6 \times 10^{3} \times 1054.5}

Rewrite equation

\frac{1.0}{10^{3}} can be rewritten to 10^{- 3}

Rewrite

x = \frac{10^{- 3} \times 10^{- 7} \times 60.0}{3.6 \times 1054.5}

Simplify

x = \frac{10^{- 10} \times 60.0}{3.6 \times 1054.5}

Solve

x

x \approx 1.5805278963 \times 10^{- 12} \approx 1.5805 \times 10^{- 12}

Conversion Equation

1.0 (\frac{e r g}{h o u r}) \approx 1.5805 \times 10^{- 12} (\frac{B T U}{m i n u t e})

View All Examples