# Question 8185a

Jul 1, 2015

101,332 Pa.

#### Explanation:

Pressure is defined as force per unit of surface.

In this case, if you have a mass of 1034 g, then the force with which it will push down on the unit surface, i.e. its weight, will be equal to

$F = m \cdot g$, where

$g$ - the gravitational acceleration, equal to ${\text{9.8 m/s}}^{2}$.

You need to convert the mass from grams to kilograms

1034cancel("g") * "1 kg"/(1000cancel("g")) = "1.034 kg"

This means that the force will be

$F = m \cdot g = 1.034 \cdot 9.8 = 10.1332 \underbrace{\left(\text{kg" * "m")/"s"^2)_(color(blue)("=Newton}\right)}$

To get to Pascal, you need to convert square centimeters to square meters

1cancel("cm"^2) * ("1 m"^2)/(10^4cancel("cm"^2)) = 10^(-4)"m"^2

Therefore, the pressure exerted by air at sea level is

P_"air" = F/S = ("10.1332 N")/(10^(-4)"m"^2) = 101,332underbrace("N"/"m"^2)_(color(blue)("=Pascal"))

P_"air" = color(green)("101,332 Pa")#