Convert watt • hour to thermie

Learn how to convert 1 watt • hour to thermie step by step.

Calculation Breakdown

Set up the equation

1.0 (w a t t \times h o u r) = x (t h e r m i e)

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

(j o u l e)

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

Right side: 1.0 (t h e r m i e) = 4.1868 \times 10^{6} (j o u l e) = 4.1868 \times 10^{6} (J)

Insert known values into the conversion equation to determine

x

1.0 (w a t t \times h o u r) = x (t h e r m i e)

Insert known values =>

1.0 \times 3.6 \times 10^{3} \times (j o u l e) = x \times 4.1868 \times 10^{6} \times (j o u l e)

Or

1.0 \cdot 3.6 \times 10^{3} \cdot (J) = x \cdot 4.1868 \times 10^{6} \cdot (J)

Cancel SI units

1.0 \times 3.6 \times 10^{3} \cdot (J) = x \times 4.1868 \times 10^{6} \times (J)

Conversion Equation

3.6 \times 10^{3} = x \times 4.1868 \times 10^{6}

Cancel factors on both sides

Cancel factors

3.6 \times 10^{3} = x \times 4.1868 \times {10^{6}}^{10^{3}}

Simplify

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

Switch sides

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

Isolate

x

Multiply both sides by

(\frac{1.0}{4.1868 \times 10^{3}})

x \times 4.1868 \times 10^{3} \times \frac{1.0}{4.1868 \times 10^{3}} = 3.6 \times \frac{1.0}{4.1868 \times 10^{3}}

Cancel

x \times 4.1868 \times 10^{3} \times \frac{1.0}{4.1868 \times 10^{3}} = 3.6 \times \frac{1.0}{4.1868 \times 10^{3}}

Simplify

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

Rewrite equation

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

Rewrite

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

Solve

x

x \approx 0.0008598452 \approx 8.5985 \times 10^{- 4}

Conversion Equation

1.0 (w a t t \times h o u r) \approx 8.5985 \times 10^{- 4} (t h e r m i e)

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