Let’s use the following relationships to solve this problem:
1 atm = 760 mmHg
1 atm = 101325 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 cancelmmHgxx(1 cancelatm)/(760cancelmmHg)xx(101325 Pa)/(1cancelatm)## = ##1.33xx10^(4) Pa##
See! The units that you began with canceled out using the given relationships in the correct order to end up with units of Pa.