Convert calorie to gallon atmosphere

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

Calculation Breakdown

Set up the equation

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

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

(j o u l e)

Left side: 1.0 (c a l o r i e) = 4.182 (j o u l e) = 4.182 (J)

Right 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)

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times 4.182 \times (j o u l e) = x \times 383.5568490138 \times (j o u l e)

Or

1.0 \cdot 4.182 \cdot (J) = x \cdot 383.5568490138 \cdot (J)

Cancel SI units

1.0 \times 4.182 \cdot (J) = x \times 383.5568490138 \times (J)

Conversion Equation

4.182 = x \times 383.5568490138

Switch sides

x \times 383.5568490138 = 4.182

Isolate

x

Multiply both sides by

(\frac{1.0}{383.5568490138})

x \times 383.5568490138 \times \frac{1.0}{383.5568490138} = 4.182 \times \frac{1.0}{383.5568490138}

Cancel

x \times 383.5568490138 \times \frac{1.0}{383.5568490138} = 4.182 \times \frac{1.0}{383.5568490138}

Simplify

x = \frac{4.182}{383.5568490138}

Solve

x

x \approx 0.0109032077 \approx 1.0903 \times 10^{- 2}

Conversion Equation

1.0 (c a l o r i e) \approx 1.0903 \times 10^{- 2} (g a l l o n a t m o s p h e r e)

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