# The pressure 45.0 meters under water is 543 kPa. What is this pressure in atm?

##### 1 Answer

#### Explanation:

Your task here is to convert from *kilopascals*, *atmospheres*, **conversion factor**.

For starters, you should know that the *pascal*,

#"1 Pa" = "1 N"/"1 m"^2#

At **sea level**, the molecules of air that make up the atmosphere press down on each *square meter* with a force of

#"101325 N"/"1 m"^2 = "101325 Pa"#

This is also defined as **one standard atmosphere**, which means that you have

#"1 atm " = " 101325 Pa"#

Since you know that

#"1 kPa" = 10^3"Pa"#

you can say that you have

#color(purple)(bar(ul(|color(white)(a/a)color(black)("1 atm " = " 101.325 kPa")color(white)(a/a)|)))#

This is your conversion factor. You can use it to say that the pressure at **below** surface level is equal to

#535 color(red)(cancel(color(black)("kPa"))) * "1 atm"/(101.325color(red)(cancel(color(black)("kPa")))) = color(green)(bar(ul(|color(white)(a/a)color(black)("5.28 atm")color(white)(a/a)|)))#

The answer is rounded to three **sig figs**.