Explanation Given data: Density Compound SG [ l b m / f t 3 ] [ g / c m 3 ] [ k g / m 3 ] (a) Gallium 5.91 (b) Aluminum 168.5 Formula used: Consider the expression for specific gravity ( SG ). S G = ρ object ρ water (1) Here, ρ object is the density of object. ρ water is the density of water, which has a constant value of 62.4 lb m /ft 3 . Conversion factors used: Consider the various conversion factors as follows. 1 kg = 2.205 lb m 1 m = 3.28 ft 1 m = 100 cm 1 kg = 1,000 g g / c m 3 = 1 , 000 kg/m 3 Calculation: (a) Modify and rearrange equation (1) as follows. S G Gallium = ρ Gallium ρ water Rearrange the equation to obtain the density value of chloroform in terms of l b m / f t 3 . ρ Gallium = S G Gallium ( ρ water ) Substitute 5 . 9 1 for S G Gallium and 62.4 lb m /ft 3 for ρ water to obtain the specific gravity of Gallium. ρ Gallium = ( 5 . 9 1 ) ( 62.4 lb m /ft 3 ) = 368.784 lb m /ft 3 ≅ 369 lb m /ft 3 Convert 369 lb m /ft 3 to g / c m 3 . 369 lb m /ft 3 = 3 6 9 ( 1 l b m f t 3 ) = 3 6 9 [ 1 ( 1 2.205 k g ) ( 1 3.28 m ) 3 ] { ∵ 1 l b m = 1 2.205 k g ∵ 1 f t = 1 3.28 m } = 3 6 9 [ 1 ( 0.4535 k g ) ( 0.3048 m ) 3 ] = 3 6 9 [ 1 ( 0.4535 k g ) 0.028 m 3 ] Simplify the conversion as follows. 3 6 9 l b m / f t 3 = 3 6 9 [ 16.196 k g m 3 ] = 3 6 9 [ 16.196 ( 1 , 000 g ) ( 1 0 0 c m ) 3 ] { ∵ 1 kg = 1 , 000 g ∵ 1 m = 100 cm } = 3 6 9 [ 16.196 ( 1 , 000 g ) ( 1 × 1 0 6 c m 3 ) ] = 3 6 9 [ 16.196 ( 1 × 10 − 3 ) g c m 3 ] Simplify the conversion to obtain the density value in terms of g / c m 3 . 3 6 9 l b m / f t 3 = 3 6 9 [ 16.196 × 10 − 3 g c m 3 ] = 5 . 9 7 6 3 g c m 3 ≅ 5 . 9 7 g / c m 3 Convert the 5 . 9 7 g / c m 3 to kg / m 3 . 5 . 9 7 g / c m 3 = 5 . 9 7 ( 1 g c m 3 ) = 5 . 9 7 [ 1 ( 1 1 , 000 kg ) ( 1 100 m ) 3 ] { ∵ 1 g = 1 1 , 000 kg ∵ 1 cm = 1 100 m } = 5 . 9 7 [ 1 1 × 10 − 3 kg ( 0.01 m ) 3 ] = 5 . 9 7 [ 1 1 × 10 − 3 kg 1 × 10 − 6 m 3 ] Simplify the equation to obtain the density value in terms of kg / m 3

4th Edition

ISBN: 9781269910989

Author: Elizabeth A. Stephan, David R. Bowman, William J. Park, Benjamin L. Sill, Matthew W. Ohland

Publisher: Pearson Learning Solutions

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Chapter 8, Problem 6ICA

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Ch. 8.1 - The engine on a spacecraft nearing Mars can...Ch. 8.2 - The mass of the human brain is 1360 grams [g]....Ch. 8.2 - The mass of the human brain is 1360 grams [g]....Ch. 8.3 - Convert 50 grams per cubic centimeter [g/cm3] into...Ch. 8.3 - A 75-gram [g] cylindrical rod is measured to be 10...Ch. 8.4 - Determine the mass in units of grams of 0.025...Ch. 8.4 - Determine the amount in units of moles [mol] of 5...Ch. 8.5 - The temperature of dry ice is 109.3 degrees...Ch. 8.5 - The specific heat capacity of copper is 0.09...Ch. 8.6 - If the pressure is 250 feet of water [ft H2O],...

Ch. 8.6 - An object is completely submerged in a liquid with...Ch. 8.7 - A 5-gallon [gal] container holds 35 grams [g] of...Ch. 8.7 - An 8-liter [L] container holds nitrogen (formula:...Ch. 8.8 - You push an automobile with a constant force of 20...Ch. 8.8 - One gram of material A is heated until the...Ch. 8.9 - A motor with a power of 100 watts [W] is connected...Ch. 8.10 - A motor with an input power of 100 watts [W] is...Ch. 8.10 - If a 50-kilogram [kg] load was raised 5 meters [m]...Ch. 8.11 - The current through a 12 kilo-ohms [k] resistor is...Ch. 8.11 - A device contains a 1000-ohm [] resistor with 120...Ch. 8.11 - Prob. 21CC Ch. 8.11 - Express 1LC in terms of base SI units, where L is...Ch. 8 - Prob. 1ICA Ch. 8 - Prob. 2ICA Ch. 8 - Prob. 3ICA Ch. 8 - Prob. 4ICA Ch. 8 - Complete the following...Ch. 8 - Prob. 6ICA Ch. 8 - Prob. 7ICA Ch. 8 - If the density of sodium is 98 kilograms per cubic...Ch. 8 - Prob. 9ICA Ch. 8 - Prob. 10ICA Ch. 8 - Prob. 11ICA Ch. 8 - ICA 8-12 Complete the following table. Assume you...Ch. 8 - You have been working to develop a new fictitious...Ch. 8 - Determine the mass in units of grams [g] of 0.35...Ch. 8 - Prob. 15ICA Ch. 8 - A eutectic alloy of two metals contains the...Ch. 8 - In the Spring of 2004, NASA discovered a new...Ch. 8 - Is there a physical condition at which a...Ch. 8 - Prob. 19ICA Ch. 8 - Prob. 20ICA Ch. 8 - If the pressure is 250 feet of water [ft H2O],...Ch. 8 - Prob. 22ICA Ch. 8 - Prob. 23ICA Ch. 8 - Complete the table, using the ideal gas law:...Ch. 8 - Complete the table for specific heat conversions:...Ch. 8 - Prob. 26ICA Ch. 8 - The specific heat of helium is 5.24 joules per...Ch. 8 - If a ball is dropped from a height (H) its...Ch. 8 - Which objectA, B, or Chas the most potential...Ch. 8 - The specific heats of aluminum and iron are 0.214...Ch. 8 - Complete the table for thermal conductivity...Ch. 8 - The thermal conductivity of a plastic is 0.325...Ch. 8 - The heat transfer coefficient of steel is 25 watts...Ch. 8 - Complete the table. 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The space shuttle fleet was designed with two...Ch. 8 - Prob. 2RQ Ch. 8 - Prob. 3RQ Ch. 8 - Prob. 4RQ Ch. 8 - Prob. 5RQ Ch. 8 - Consider the following strange, but true, units: 1...Ch. 8 - Consider the following strange, but true, units: 1...Ch. 8 - A cube of material X, 1 inch [in] on all sides,...Ch. 8 - Prob. 9RQ Ch. 8 - The density of gasoline is 0.72 grams per cubic...Ch. 8 - A lab reports the density of a new element is X...Ch. 8 - The Eco-Marathon is an annual competition...Ch. 8 - A golden bar of metal (5 centimeters [cm] by 18...Ch. 8 - A rod on the surface of Jupiters moon Callisto has...Ch. 8 - Prob. 15RQ Ch. 8 - If we increase the temperature in a reactor by 90...Ch. 8 - Prob. 17RQ Ch. 8 - If we increase the temperature in a reactor by 90...Ch. 8 - We are making a cup of coffee and want the...Ch. 8 - Prob. 20RQ Ch. 8 - Prob. 21RQ Ch. 8 - Prob. 22RQ Ch. 8 - We want to construct a thermometer using mercury....Ch. 8 - Prob. 24RQ Ch. 8 - A normal blood pressure has a gauge pressure of...Ch. 8 - Prob. 26RQ Ch. 8 - Prob. 27RQ Ch. 8 - The force on the inside of a cork in a champagne...Ch. 8 - If a force of 15 newtons [N] is applied to a...Ch. 8 - A sensor is submerged in a silo to detect any...Ch. 8 - One of the National Academy of Engineering Grand...Ch. 8 - Prob. 32RQ Ch. 8 - Prob. 33RQ Ch. 8 - NASA is designing a mission to explore Titan, the...Ch. 8 - Prob. 35RQ Ch. 8 - Prob. 36RQ Ch. 8 - Prob. 37RQ Ch. 8 - A 10-liter [L] flask contains 1.3 moles [mol] of...Ch. 8 - A 10-liter [L] flask contains 5 moles [mol] of gas...Ch. 8 - An ideal gas in a 1.25-gailon [gal] container is...Ch. 8 - A 5-liter [L] container holds nitrogen (formula:...Ch. 8 - An ideal gas, kept in a 5-liter [L] container at...Ch. 8 - An ideal gas is kept in a 10-liter [L] container...Ch. 8 - A container holding 1.5 moles [mol] of oxygen...Ch. 8 - Which of the following requires the expenditure of...Ch. 8 - A 10-gram [g] rubber ball is released from a...Ch. 8 - If a ball is dropped from a height its velocity...Ch. 8 - A bail is thrown vertically into the air with an...Ch. 8 - A robotic rover on Mars finds a spherical rock...Ch. 8 - Prob. 50RQ Ch. 8 - Measurements indicate that boat A has twice the...Ch. 8 - If a 10-kilogram [kg] rotating solid cylinder...Ch. 8 - We go out to sunbathe on a warm summer day. If we...Ch. 8 - A 3-kilogram [kg] projectile traveling at 100...Ch. 8 - The maximum radius (R) a falling liquid drop can...Ch. 8 - Prob. 56RQ Ch. 8 - When we drive our car at 100 feet per second...Ch. 8 - The power required by an airplane is given by P =...Ch. 8 - Prob. 59RQ Ch. 8 - The power required by an airplane is given by P =...Ch. 8 - When gasoline is burned in the cylinder of an...Ch. 8 - A 100-watt [W] motor (60% efficient) is used to...Ch. 8 - A 100-watt [W] motor (60% efficient) is available...Ch. 8 - You need to purchase a motor to supply 400 joules...Ch. 8 - A robotic rover on Mars finds a spherical rock...Ch. 8 - Consider the following strange, but true, unit: 1...Ch. 8 - Prob. 67RQ Ch. 8 - When boiling water a hot plate takes an average of...Ch. 8 - Prob. 69RQ Ch. 8 - The power available from a wind turbine is...Ch. 8 - A constant voltage of 5 volts [V] is applied...Ch. 8 - A 10,000-microfarad [F] capacitor is charged to 25...

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