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

Mar 12, 2016

The pressure is $2.26 A t m$

#### 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:

$1 A t m = 1.01 \times {10}^{5} P a$

We can write this as a conversion factor as

$\frac{1 A t m}{1.01 \times {10}^{5} P a}$ or $\frac{1.01 \times {10}^{5} P a}{1 A t m}$

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

$228 \textcolor{red}{\cancel{k P a}} \frac{1000 \textcolor{b l u e}{\cancel{P a}}}{\textcolor{red}{\cancel{k P a}}} \cdot \frac{1 A t m}{1.01 \times {10}^{5} \textcolor{b l u e}{\cancel{P a}}} = 2.26 A t m$

Where we have also used the conversion factor for $P a$ to $k P a$.