Archimedes' principle can be used to calculate the density of a fluid as well as that of a solid. Suppose a chunk of iron with a mass of 435.0 g in air is found to have an apparent mass of 397.1 g when completely submerged in an unknown liquid.(a)What mass (in g) of fluid does the iron displace?(b)What is the volume of iron (in cm3), using its density as given in this table?(c)Calculate the fluid's density and identify it.waterethyl alcohol petrolglycerinolive oil Densities of Various Substancesp(103 kg/m³ or g/mL)p(10³ kg/m³ or g/mL)p(10³ kg/m³ or g/mL)SubstanceSubstanceSubstanceSolidsLiquidsGasesWater (4°C)1.29×10-3Aluminum2.71.000AirCarbondioxideBrass8.44Blood1.051.98×10-3Copper(average)Carbonmonoxide1.25×10-38.8Sea water1.025GoldHydrogen0.090x10-319.32Mercury13.6Iron or steel7.8Ethyl alcohol0.79Helium0.18×10-3LeadPetrolMethane0.72×10–311.30.68Polystyrene0.10Glycerin1.26Nitrogen1.25×10-3Tungsten19.30Olive oil0.92Nitrous oxide1.98×10-3Uranium18.70Охудеn1.43×10-3SteamConcrete0.60x10-32.30-3.0(100° C)Cork0.24Glass,common2.6(average)Granite2.7Earth's crust3.3Wood0.3-0.9Ice (0°C)0.917Bone1.7-2.0

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College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Archimedes' principle can be used to calculate the density of a fluid as well as that of a solid. Suppose a chunk of iron with a mass of 435.0 g in air is found to have an apparent mass of 397.1 g when completely submerged in an unknown liquid.

(a)

What mass (in g) of fluid does the iron displace?

(b)

What is the volume of iron (in cm³), using its density as given in this table?

(c)

Calculate the fluid's density and identify it.

water
ethyl alcohol
petrol
glycerin
olive oil

Densities of Various Substances
p(103 kg/m³ or g/mL)
p(10³ kg/m³ or g/mL)
p(10³ kg/m³ or g/mL)
Substance
Substance
Substance
Solids
Liquids
Gases
Water (4°C)
1.29×10-3
Aluminum
2.7
1.000
Air
Carbon
dioxide
Brass
8.44
Blood
1.05
1.98×10-3
Copper
(average)
Carbon
monoxide
1.25×10-3
8.8
Sea water
1.025
Gold
Hydrogen
0.090x10-3
19.32
Mercury
13.6
Iron or steel
7.8
Ethyl alcohol
0.79
Helium
0.18×10-3
Lead
Petrol
Methane
0.72×10–3
11.3
0.68
Polystyrene
0.10
Glycerin
1.26
Nitrogen
1.25×10-3
Tungsten
19.30
Olive oil
0.92
Nitrous oxide
1.98×10-3
Uranium
18.70
Охудеn
1.43×10-3
Steam
Concrete
0.60x10-3
2.30-3.0
(100° C)
Cork
0.24
Glass,
common
2.6
(average)
Granite
2.7
Earth's crust
3.3
Wood
0.3-0.9
Ice (0°C)
0.917
Bone
1.7-2.0

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