# How do you convert 100 mm Hg to Pa?

Jul 3, 2016

$1.33 \times {10}^{4} P a$

#### Explanation:

Let's use the following relationships to solve this problem:

1 atm = 760 mmHg

1 atm = 101,325 Pa

Dimensional analysis will be best to convert from one unit of measurement to another. You can never go wrong if you just make sure that your unwanted units cancel out, leaving your desired units.

I like to set up dimensional analysis questions like this:

Quantity Given x Conversion Factor = Quantity Sought

Quantity Given = 100 mmHg
Conversion factor: the relationships I provided in bold
Quantity Sought = Pa

Let's get started:

100 cancel"mmHg"xx(1 cancel"atm")/(760cancel"mmHg")xx(101,325 Pa)/(1cancel"atm") = $1.33 \times {10}^{4} P a$

See! The units that you began with canceled out using the given relationships in the correct order to end up with units of Pa.