Question

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

Answer 1

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`.