Convert atmosphere to inch of mercury

Learn how to convert 1 atmosphere to inch of mercury step by step.

Calculation Breakdown

Set up the equation

1.0 (a t m o s p h e r e) = x (i n c h o f m e r c u r y)

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

(p a s c a l)

Left side: 1.0 (a t m o s p h e r e) = 1.01325 \times 10^{5} (p a s c a l) = 1.01325 \times 10^{5} (P a)

Right side: 1.0 (i n c h o f m e r c u r y) = 3386.388640341 (p a s c a l) = 3386.388640341 (P a)

Insert known values into the conversion equation to determine

x

1.0 (a t m o s p h e r e) = x (i n c h o f m e r c u r y)

Insert known values =>

1.0 \times 1.01325 \times 10^{5} \times (p a s c a l) = x \times 3386.388640341 \times (p a s c a l)

Or

1.0 \cdot 1.01325 \times 10^{5} \cdot (P a) = x \cdot 3386.388640341 \cdot (P a)

Cancel SI units

1.0 \times 1.01325 \times 10^{5} \cdot (P a) = x \times 3386.388640341 \times (P a)

Conversion Equation

1.01325 \times 10^{5} = x \times 3386.388640341

Switch sides

x \times 3386.388640341 = 1.01325 \times 10^{5}

Isolate

x

Multiply both sides by

(\frac{1.0}{3386.388640341})

x \times 3386.388640341 \times \frac{1.0}{3386.388640341} = 1.01325 \times 10^{5} \times \frac{1.0}{3386.388640341}

Cancel

x \times 3386.388640341 \times \frac{1.0}{3386.388640341} = 1.01325 \times 10^{5} \times \frac{1.0}{3386.388640341}

Simplify

x = \frac{1.01325 \times 10^{5}}{3386.388640341}

Solve

x

x \approx 29.92125558 \approx 29.9213

Conversion Equation

1.0 (a t m o s p h e r e) \approx 29.9213 (i n c h o f m e r c u r y)

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