Practice Problem 13.1 Let\'s begin with asimple calculation of the weight of air

Question

Practice Problem 13.1 Let's begin with asimple calculation of the weight of air using density. Find the mass of ar and its weight in a ling room that has 4.1m x 47m foor and a ceiling 34 m high. What are the mass and weight of an equal volume of water? SOLUTION SETUPAND soLVE Even fora problem Ike this, a simple sketch such as the one in Elaae 1 helps to prevent mistakes First waM find he w we use the density of air to find the mass of airitcontains. The room's volume is V-lx h (4.1m)(.7m)(3.4m) 65.518m3 Air has a density ofp 12kg/m3. The mass of the air in the room is The weight of the airis The density of water is p 1.0 x 10 kg/m3. Thus, e mass of a volume of water that would su the room is m (1000 kg/m3)65.518m3) 65518 x 10 kg The weight is (6.5518 x 10 kg)(9.8 m/s 6421 x 10 N 173 lb Does it surprise you that a noomnul of air weighs this much? But the weight of the same volume of 1.44x10 lb or 72 2 tons This much weight would certainly collapse the foor of an ordinary house. Part A Practice Problem what volume of water would have a mass equal to the mass of airin the room? Express your answer in iners to two signlscant figures 7.86.10 Submit MLAnswers Incorrect Try Again: 2 attempts remaining

Explanation / Answer

From the given question,

density of water= 1000 kg/m3

mass of air = mass of water

78.6216 kg= volume of water x density of water

78.6216 = vol x 1000

vol= 78.6216/1000

vol= 0.0786216m3

vol=0.0786216 x 1000 liters

vol= 79 liters( in two significant figures)

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