Convert foot of mercury to gram / square meter

Learn how to convert 1 foot of mercury to gram / square meter step by step.

Calculation Breakdown

Set up the equation

1.0 (f o o t o f m e r c u r y) = x (\frac{g r a m}{s q u a r e m e t e r})

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

(p a s c a l)

Left side: 1.0 (f o o t o f m e r c u r y) = 40636.663684092 (p a s c a l) = 40636.663684092 (P a)

Right side: 1.0 (\frac{g r a m}{s q u a r e m e t e r}) = 9.80665 \times 10^{- 3} (p a s c a l) = 9.80665 \times 10^{- 3} (P a)

Insert known values into the conversion equation to determine

x

1.0 (f o o t o f m e r c u r y) = x (\frac{g r a m}{s q u a r e m e t e r})

Insert known values =>

1.0 \times 40636.663684092 \times (p a s c a l) = x \times 9.80665 \times 10^{- 3} \times (p a s c a l)

Or

1.0 \cdot 40636.663684092 \cdot (P a) = x \cdot 9.80665 \times 10^{- 3} \cdot (P a)

Cancel SI units

1.0 \times 40636.663684092 \cdot (P a) = x \times 9.80665 \times 10^{- 3} \times (P a)

Conversion Equation

40636.663684092 = x \times 9.80665 \times 10^{- 3}

Switch sides

x \times 9.80665 \times 10^{- 3} = 40636.663684092

Isolate

x

Multiply both sides by

(\frac{1.0}{9.80665 \times 10^{- 3}})

x \times 9.80665 \times 10^{- 3} \times \frac{1.0}{9.80665 \times 10^{- 3}} = 40636.663684092 \times \frac{1.0}{9.80665 \times 10^{- 3}}

Cancel

x \times 9.80665 \times 10^{- 3} \times \frac{1.0}{9.80665 \times 10^{- 3}} = 40636.663684092 \times \frac{1.0}{9.80665 \times 10^{- 3}}

Simplify

x = \frac{40636.663684092}{9.80665 \times 10^{- 3}}

Rewrite equation

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

Rewrite

x = \frac{10^{3} \times 40636.663684092}{9.80665}

Solve

x

x = 4143786.48 \approx 4.1438 \times 10^{6}

Conversion Equation

1.0 (f o o t o f m e r c u r y) \approx 4.1438 \times 10^{6} (\frac{g r a m}{s q u a r e m e t e r})

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