Question #8185a

1 Answer
Stefan V.
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* g#, where

#g# - the gravitational acceleration, equal to #"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 * g = 1.034 * 9.8 = 10.1332underbrace(("kg" * "m")/"s"^2)_(color(blue)("=Newton"))#

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")#

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