# What is 8200 N/m^2 expressed in kilopascals?

Aug 13, 2016

$\text{8.2 kPa}$

#### Explanation:

The idea here is that a pascal, $\text{Pa}$, is a unit of pressure defined as a force of one newton, $\text{1 N}$, pushing on a surface area equal to one square meter, ${\text{1 m}}^{2}$.

$\textcolor{p u r p \le}{| \overline{\underline{\textcolor{w h i t e}{\frac{a}{a}} \textcolor{b l a c k}{{\text{1 Pa " = "1 N"/"1 m"^2 = 1"N"/"m}}^{2}} \textcolor{w h i t e}{\frac{a}{a}} |}}}$

This means that the problem is actually providing you with the pressure in pascals, since

8200 color(red)(cancel(color(black)("N"/"m"^2))) * "1 Pa"/(1color(red)(cancel(color(black)("N"/"m"^2)))) = "8200 Pa"

All you have to do now is use the fact that

$\textcolor{p u r p \le}{| \overline{\underline{\textcolor{w h i t e}{\frac{a}{a}} \textcolor{b l a c k}{\text{1 kPa" = 10^3"Pa}} \textcolor{w h i t e}{\frac{a}{a}} |}}}$

to find the value of the pressure in kilopascals

8200 color(red)(cancel(color(black)("Pa"))) * "1 kPa"/(10^3color(red)(cancel(color(black)("Pa")))) = color(green)(|bar(ul(color(white)(a/a)color(black)("8.2 kPa")color(white)(a/a)|)))