Convert gallon atmosphere to therm

Learn how to convert 1 gallon atmosphere to therm step by step.

Calculation Breakdown

Set up the equation

1.0 (g a l l o n a t m o s p h e r e) = x (t h e r m)

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

(j o u l e)

Left side: 1.0 (g a l l o n a t m o s p h e r e) = 383.5568490138 (j o u l e) = 383.5568490138 (J)

Right side: 1.0 (t h e r m) = 105435026.444 (j o u l e) = 105435026.444 (J)

Insert known values into the conversion equation to determine

x

1.0 (g a l l o n a t m o s p h e r e) = x (t h e r m)

Insert known values =>

1.0 \times 383.5568490138 \times (j o u l e) = x \times 105435026.444 \times (j o u l e)

Or

1.0 \cdot 383.5568490138 \cdot (J) = x \cdot 105435026.444 \cdot (J)

Cancel SI units

1.0 \times 383.5568490138 \cdot (J) = x \times 105435026.444 \times (J)

Conversion Equation

383.5568490138 = x \times 105435026.444

Switch sides

x \times 105435026.444 = 383.5568490138

Isolate

x

Multiply both sides by

(\frac{1.0}{105435026.444})

x \times 105435026.444 \times \frac{1.0}{105435026.444} = 383.5568490138 \times \frac{1.0}{105435026.444}

Cancel

x \times 105435026.444 \times \frac{1.0}{105435026.444} = 383.5568490138 \times \frac{1.0}{105435026.444}

Simplify

x = \frac{383.5568490138}{105435026.444}

Solve

x

x \approx 0.0000036379 \approx 3.6379 \times 10^{- 6}

Conversion Equation

1.0 (g a l l o n a t m o s p h e r e) \approx 3.6379 \times 10^{- 6} (t h e r m)

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