The air pressure inside a passenger tire is 228 kPa. What is this pressure in atmospheres?

1 Answer
Mar 12, 2016

Answer:

The pressure is #2.26 Atm#

Explanation:

Let's use the concept of conversion factors to convert the units of pressure as requested. We start by finding the equivalent number of Pa represented by an atmosphere, or Atm:

#1Atm = 1.01xx10^5Pa#

We can write this as a conversion factor as

#(1Atm) /(1.01xx10^5Pa)# or #(1.01xx10^5Pa)/(1Atm)#

both of which are true. We then select the one that cancels the units we want to get rid of and leaves the ones behind that we want

#228color(red)cancel(kPa) (1000color(blue)cancel(Pa))/color(red)cancel(kPa)*(1Atm) /(1.01xx10^5color(blue)cancel(Pa)) =2.26 Atm#

Where we have also used the conversion factor for #Pa# to #kPa#.