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

1 Answer
Aug 13, 2016

Answer:

#"8.2 kPa"#

Explanation:

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

#color(purple)(|bar(ul(color(white)(a/a)color(black)("1 Pa " = "1 N"/"1 m"^2 = 1"N"/"m"^2)color(white)(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

#color(purple)(|bar(ul(color(white)(a/a)color(black)("1 kPa" = 10^3"Pa")color(white)(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)|)))#