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,
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
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.