Convert liter atmosphere to foot-poundal

Learn how to convert 1 liter atmosphere to foot-poundal step by step.

Calculation Breakdown

Set up the equation

1.0 (l i t e r a t m o s p h e r e) = x (f o o t - p o u n d a l)

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

(j o u l e)

Left side: 1.0 (l i t e r a t m o s p h e r e) = 101.325 (j o u l e) = 101.325 (J)

Right side: 1.0 (f o o t - p o u n d a l) = 4.21401100938048 \times 10^{- 2} (j o u l e) = 4.21401100938048 \times 10^{- 2} (J)

Insert known values into the conversion equation to determine

x

1.0 (l i t e r a t m o s p h e r e) = x (f o o t - p o u n d a l)

Insert known values =>

1.0 \times 101.325 \times (j o u l e) = x \times 4.21401100938048 \times 10^{- 2} \times (j o u l e)

Or

1.0 \cdot 101.325 \cdot (J) = x \cdot 4.21401100938048 \times 10^{- 2} \cdot (J)

Cancel SI units

1.0 \times 101.325 \cdot (J) = x \times 4.21401100938048 \times 10^{- 2} \times (J)

Conversion Equation

101.325 = x \times 4.21401100938048 \times 10^{- 2}

Switch sides

x \times 4.21401100938048 \times 10^{- 2} = 101.325

Isolate

x

Multiply both sides by

(\frac{1.0}{4.21401100938048 \times 10^{- 2}})

x \times 4.21401100938048 \times 10^{- 2} \times \frac{1.0}{4.21401100938048 \times 10^{- 2}} = 101.325 \times \frac{1.0}{4.21401100938048 \times 10^{- 2}}

Cancel

x \times 4.21401100938048 \times 10^{- 2} \times \frac{1.0}{4.21401100938048 \times 10^{- 2}} = 101.325 \times \frac{1.0}{4.21401100938048 \times 10^{- 2}}

Simplify

x = \frac{101.325}{4.21401100938048 \times 10^{- 2}}

Rewrite equation

\frac{1.0}{10^{- 2}} can be rewritten to 10^{2}

Rewrite

x = \frac{10^{2} \times 101.325}{4.21401100938048}

Solve

x

x \approx 2404.478768 \approx 2.4045 \times 10^{3}

Conversion Equation

1.0 (l i t e r a t m o s p h e r e) \approx 2.4045 \times 10^{3} (f o o t - p o u n d a l)

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