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Dimensional Analysis Solutions Library

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311 solutions

Dimensional Analysis

Q. R=0.0138 kPa*km-1Convert R to J*cm-4 

Solved • Mar 25, 2020

Dimensional Analysis

Q. How many cm^3 are contained in 3.77 x 10^4 mm^3A. 3.77 x 10^4 cm^3B. 3.77 x 10^1 cm^3C. 3.77 x 10^-10 cm^3D. 3.77 x 10^20 cm^3E. 3.77 x 10^6 cm^3

Solved • Sep 15, 2019

Dimensional Analysis

Q. How many gallons are there in 7571 cm3?a. 2.000b. 19.00c. 95.00d. 125.0e. 189.0

Solved • Sep 14, 2019

Dimensional Analysis

Q. A cube has dimensions of 0.60 meters on each side. What is the volume of the cube in liters? 

Solved • Sep 13, 2019

Dimensional Analysis

Q. What mass of methanol in kg (density = 0.791 g/mL) does it take to exactly fill a 10.4 gal tank given that 1 gal = 3.785 L?

Solved • Sep 13, 2019

Dimensional Analysis

Q. Convert 74.5 mi to km. (1 m = 1.094 yds, 1 mi = 1760 yds)

Solved • Sep 13, 2019

Dimensional Analysis

Q. The burning of fossil fuel by humans in 2012 introduced approximately 8 petagrams (Pg) of carbon per year into the atmosphere in the form of CO2.Ho...

Solved • Aug 5, 2019

Dimensional Analysis

Q. How many dozens of silver atoms are in a piece of jewelry suppose a piece of jewelry contains 6.09 x 1022?

Solved • Aug 2, 2019

Dimensional Analysis

Q. The diameter of a silicon atom is 2.22 Å. As of 2014, semiconductor chips as small as 14 nm { m nm}were commercially available. How many silicon at...

Solved • Nov 27, 2018

Dimensional Analysis

Q. In August 2011, the Juno spacecraft was launched from Earth with the mission of orbiting Jupiter in 2016. The closest distance between Jupiter and ...

Solved • Nov 12, 2018

Dimensional Analysis

Q. In August 2011, the Juno spacecraft was launched from Earth with the mission of orbiting Jupiter in 2016. The closest distance between Jupiter and ...

Solved • Nov 12, 2018

Dimensional Analysis

Q. The physical fitness of athletes is measured by "VO2 max," which is the maximum volume of oxygen consumed by an individual during incremental exerc...

Solved • Oct 31, 2018

Dimensional Analysis

Q. The automobile fuel called E85 consists of 85% ethanol and 15% gasoline. E85 can be used in so-called flex-fuel vehicles (FFVs), which can use gaso...

Solved • Oct 31, 2018

Dimensional Analysis

Q. The source of oxygen that drives the internal combustion engine in an automobile is air. Air is a mixture of gases, which are principally N2 (~79%)...

Solved • Oct 31, 2018

Dimensional Analysis

Q. A piece of aluminum foil 1.00 cm square and 0.560 mm thick is allowed to react with bromine to form aluminum bromide.How many moles of aluminum wer...

Solved • Oct 31, 2018

Dimensional Analysis

Q. A small speck of carbon the size of a pinhead contains about 4×1019 atoms, the diameter of a carbon atom is 1.5 10-10 m, and the circumference of t...

Solved • Oct 25, 2018

Dimensional Analysis

Q. A period at the end of sentence written with a graphite pencil has a diameter of 1.6 mm. How many carbon atoms would it take to line up across the ...

Solved • Oct 25, 2018

Dimensional Analysis

Q. A large tanker truck for carrying gasoline has a capacity of 3.6×104 L .If the retail price of gasoline is $3.00 per gallon, what is the value of t...

Solved • Oct 25, 2018

Dimensional Analysis

Q. Gemstones are weighed in carats, with 1 carat = 200 mg (exactly).What is the mass in grams of the Hope Diamond, the worlds largest blue diamond at ...

Solved • Oct 25, 2018

Dimensional Analysis

Q. A Big Mac hamburger from McDonalds contains 540 Calories.For how many hours could the amount of energy in a Big Mac light a 100 watt lightbulb? (1 ...

Solved • Oct 25, 2018

Dimensional Analysis

Q. The volume of water used for crop irrigation is measured in acre-feet, where 1 acre-foot is the amount of water needed to cover 1 acre of land to a...

Solved • Oct 25, 2018

Dimensional Analysis

Q. The volume of water used for crop irrigation is measured in acre-feet, where 1 acre-foot is the amount of water needed to cover 1 acre of land to a...

Solved • Oct 25, 2018

Dimensional Analysis

Q. The world record for the womens outdoor 20,000 meter run, set in 2000 by Tegla Loroupe, is 1:05:26.6 (seconds are given to the nearest tenth).What ...

Solved • Oct 25, 2018

Dimensional Analysis

Q. In the U.S., the emissions limit for carbon monoxide in motorcycle engine exhaust is 12.0 g‎ of carbon monoxide per kilometer driven.What is this l...

Solved • Oct 25, 2018

Dimensional Analysis

Q. Carry out the following conversions.How many grams of meat are in a quarter-pound hamburger (0.25 lb)?

Solved • Oct 25, 2018

Dimensional Analysis

Q. Carry out the following conversions.How large in square meters is the land area of Australia (2941526 mi2)?

Solved • Oct 25, 2018

Dimensional Analysis

Q. Ocean currents are measured in Sverdrups (sv) where 1 sv=109 m3/s. The Gulf Stream off the tip of Florida, for instance, has a flow of 35 sv.How mu...

Solved • Oct 25, 2018

Dimensional Analysis

Q. Distances over land are measured in statute miles (5280 ft), but distances over water are measured in nautical miles, where 1 nautical mile was ori...

Solved • Oct 25, 2018

Dimensional Analysis

Q. A 1.0 ounce piece of chocolate contains 15 mg of caffeine, and a 6.0 ounce cup of regular coffee contains 105 mg of caffeine.How much chocolate wou...

Solved • Oct 25, 2018

Dimensional Analysis

Q. A bag of Hersheys Kisses contains the following information:Serving size: 9pieces= 41gramsCalories per serving: 230.Total fat per serving: 13 gThe ...

Solved • Oct 25, 2018

Dimensional Analysis

Q. A 12-inch pizza has an area of 113.097 square inches (in2). What is the area in units of cm2? (1 inch = 2.54 cm, exactly)

Solved • Oct 25, 2018

Dimensional Analysis

Q. A can of soda has a volume of 355 mL. What is the volume expressed in SI units of m3?

Solved • Oct 25, 2018

Dimensional Analysis

Q. The U.S. quarter has a mass of 5.67 g and is approximately 1.55 mm thick.How many quarters would have to be stacked to reach 575 ft, the height of ...

Solved • Oct 25, 2018

Dimensional Analysis

Q. At a particular instant in time the Earth is judged to be 92,955,000 miles from the sun. What is the distance in kilometers to four significant fig...

Solved • Oct 25, 2018

Dimensional Analysis

Q. A barrel of oil as measured on the oil market is equal to 1.333 U.S. barrels. A U.S. barrel is equal to 31.5 gal. If oil is on the market at $94.00...

Solved • Oct 25, 2018

Dimensional Analysis

Q. Consider the jar of jelly beans in the photo. To get an estimate of the number of beans in the jar you weigh six beans and obtain masses of 3.15, 3...

Solved • Oct 25, 2018

Dimensional Analysis

Q. The diameter of a rubidium atom is 4.95 Å. We will consider two different ways of placing the atoms on a surface. In arrangement (a), all the atoms...

Solved • Oct 25, 2018

Dimensional Analysis

Q. Assuming the diameters of the nucleus and atom are 10-4 Å and 1 - 5 Å correspondingly, what fraction of the volume of the atom is taken up by the n...

Solved • Oct 25, 2018

Dimensional Analysis

Q. The radius of an atom of gold (Au) is about 1.35 Å.Express this distance in nanometers (nm).

Solved • Oct 25, 2018

Dimensional Analysis

Q. The radius of an atom of gold (Au) is about 1.35 Å.How many gold atoms would have to be lined up to span 5.5 mm ?

Solved • Oct 25, 2018

Dimensional Analysis

Q. The radius of an atom of gold (Au) is about 1.35 Å.If the atom is assumed to be a sphere, what is the volume in cm3 of a single Au atom?

Solved • Oct 25, 2018

Dimensional Analysis

Q. The radius of an atom of gold (Au) is about 1.35 Å.Express this distance in picometers (pm).

Solved • Oct 25, 2018

Dimensional Analysis

Q. The total power used by humans worldwide is approximately 15 TW (terawatts). Sunlight striking Earth provides 1.336 kW per square meter (assuming n...

Solved • Oct 25, 2018

Dimensional Analysis

Q. In 2009, a team from Northwestern University and Western Washington University reported the preparation of a new "spongy" material composed of nick...

Solved • Oct 25, 2018

Dimensional Analysis

Q. The distance from Earth to the Moon is approximately 240,000 mi.Earth travels around the Sun at an average speed of 29.783  km/s. Convert this spee...

Solved • Oct 25, 2018

Dimensional Analysis

Q. A 40-lb container of peat moss measures 14x20x30 in. A 40-lb container of topsoil has a volume of 1.9 { m gal}.How many bags of the peat moss are n...

Solved • Oct 25, 2018

Dimensional Analysis

Q. The distance from Earth to the Moon is approximately 240,000 mi.The speed of light is 3.00 108m/s. How long does it take for light to travel from E...

Solved • Oct 25, 2018

Dimensional Analysis

Q. In the United States, water used for irrigation is measured in acre-feet. An acre-foot of water covers an acre to a depth of exactly 1 ft. An acre ...

Solved • Oct 25, 2018

Dimensional Analysis

Q. In the United States, water used for irrigation is measured in acre-feet. An acre-foot of water covers an acre to a depth of exactly 1 ft. An acre ...

Solved • Oct 25, 2018

Dimensional Analysis

Q. By using estimation techniques, determine which of the following is the heaviest and which is the lightest: a 5-lb bag of potatoes, a 5-kg bag of s...

Solved • Oct 25, 2018

Dimensional Analysis

Q. Perform the following conversions.5.50 days to s

Solved • Oct 25, 2018

Dimensional Analysis

Q. Perform the following conversions.1.90 $/gal to dollars per liter,

Solved • Oct 25, 2018

Dimensional Analysis

Q. Gold can be hammered into extremely thin sheets called gold leaf. An architect wants to cover a 100 ft by 86 ft ceiling with gold leaf that is five...

Solved • Oct 25, 2018

Dimensional Analysis

Q. The lung capacity of the blue whale is 5100 L . Convert this volume into gallons.

Solved • Oct 25, 2018

Dimensional Analysis

Q. Bamboo can grow up to 60.0 cm/day. Convert this growth rate into inches per hour.

Solved • Oct 25, 2018

Dimensional Analysis

Q. Volume relationships. The volume occupied by a cube 1 m on each edge is one cubic meter, 1 m3. Each cubic meter contains 1000 dm3. One liter is the...

Solved • Oct 25, 2018

Dimensional Analysis

Q. Consider an Avogadro’s number of pennies stacked one on top of the other.How much money (in dollars) would this represent?

Solved • Oct 25, 2018

Dimensional Analysis

Q. One inch is equal to 2.54 cm. The below image shows a line that is 1 in long with centimeter segments drawn on the line. A cube that is 1 in on eac...

Solved • Oct 25, 2018

Dimensional Analysis

Q. How many cubic centimeters are there in 2.11 yd3

Solved • Oct 25, 2018

Dimensional Analysis

Q. An infant ibuprofen suspension contains 100 mg/5.0mL suspension. The recommended dose is 10 mg/kg body weight.How many milliliters of this suspensi...

Solved • Oct 25, 2018

Dimensional Analysis

Q. A cube has an edge length of 8 cm.If it is divided into 1-cm cubes, how many 1-cm cubes are there?

Solved • Oct 25, 2018

Dimensional Analysis

Q. A German automobile gets a gas mileage of 23 km/L. Convert this quantity to miles per gallon.

Solved • Oct 25, 2018

Dimensional Analysis

Q. Nanotechnology, the field of trying to build ultrasmall structures one atom at a time, has progressed in recent years. One potential application of...

Solved • Oct 25, 2018

Dimensional Analysis

Q. Nanotechnology, the field of trying to build ultrasmall structures one atom at a time, has progressed in recent years. One potential application of...

Solved • Oct 25, 2018

Dimensional Analysis

Q. Express the quantity 33.2m10-4 mm in { m mm}.

Solved • Oct 25, 2018

Dimensional Analysis

Q. Lead metal can be extracted from a mineral called galena, which contains 86.6% lead by mass. A particular ore contains 68.5% galena by mass.If the ...

Solved • Oct 25, 2018

Dimensional Analysis

Q. A length of #8 copper wire (radius = 1.63 mm) has a mass of 24.1 kg and a resistance of 2.061 ohm per km (Ω/km). What is the overall resistance of...

Solved • Oct 25, 2018

Dimensional Analysis

Q. The SI unit of force is the Newton, derived from the base units by using the definition of force, F = ma. The dyne is a non-SI unit of force in whi...

Solved • Oct 25, 2018

Dimensional Analysis

Q. An iceberg has a volume of 7655 cubic feet.What is the mass of the ice (in kg) composing the iceberg?

Solved • Oct 25, 2018

Dimensional Analysis

Q. The Toyota Prius, a hybrid electric vehicle, has an EPA gas mileage rating of 52 mi/gal in the city.How many kilometers can the Prius travel on 16 ...

Solved • Oct 25, 2018

Dimensional Analysis

Q. The worlds record in the 100m dash is 9.69s and in the 100 yard dash is 9.21s.Find the speed in mi/h of the runner who set second record (9.21s).

Solved • Oct 25, 2018

Dimensional Analysis

Q. Force is defined as mass times acceleration. Starting with SI base units, derive a unit for force. Using SI prefixes suggest a convenient unit for ...

Solved • Oct 25, 2018

Dimensional Analysis

Q. The density of ethanol is 0.789 g/cm3 .What is its density in pounds per cubic inch ( lb/in3)?

Solved • Oct 25, 2018

Dimensional Analysis

Q. Perform each unit conversion.27.8 L to cm3

Solved • Oct 25, 2018

Dimensional Analysis

Q. 1 mole of Si atoms contains 6.02 x 1023 atoms. 6.02 x 1023 atoms of Si have a mass of 28.1 g. How many atoms of Si are contained in a computer chip...

Solved • Oct 24, 2018

Dimensional Analysis

Q. If 5 kg of water has a volume of 5.0 x 103 mL, what is the volume in quarts? (1L = 1.06 qt) 

Solved • Oct 24, 2018

Dimensional Analysis

Q. If 500 mL of liquid mercury weighs 6.53 x 103 g, what is the mass in kg? If the radius of a potassium (K) atom is 2.27 x 10-7 mm, what is the radiu...

Solved • Oct 24, 2018

Dimensional Analysis

Q. Part AThree gases (8.00 g of methane, CH4, 18.0 g of ethane, C2H4, and an unknown amount of propane, C3H8) were added to the same 10.0-L container....

Solved • Oct 24, 2018

Dimensional Analysis

Q. Part A A package of aluminum foil contains 50, ft2 of foil, which weighs approximately 8.5 oz. Aluminum has a density of 2.70 g/cm3. What is the ap...

Solved • Oct 23, 2018

Dimensional Analysis

Q. The density of water at 3.98°C is 1.00000 g/mL. What is the mass in pounds of 17.736 L of water? 

Solved • Oct 23, 2018

Dimensional Analysis

Q. A box of paper clips contains 1465 paper clips. How many reams of paper clips does the box contain? 1 ream = 500 objects 

Solved • Oct 22, 2018

Dimensional Analysis

Q. Secretariat is known as the horse with the fastest run in the Kentucky Derby. If Secretariat’s record 1.25-mi run lasted 1 minute 59.2 seconds, wha...

Solved • Oct 17, 2018

Dimensional Analysis

Q. The longest river in the world is the Nile River with a length of 4145 mi. How long is the Nile in cable lengths, meters, and nautical miles?Use th...

Solved • Oct 17, 2018

Dimensional Analysis

Q. A parsec is an astronomical unit of distance where 1 parsec = 3.26 light years (1 light year equals the distance traveled by light in one year). If...

Solved • Oct 17, 2018

Dimensional Analysis

Q. The contents of one 40-lb bag of topsoil will cover 10. square feet of ground to a depth of 1.0 inch. How many bags areneeded to cover a plot that ...

Solved • Oct 17, 2018

Dimensional Analysis

Q. Lipitor, a pharmaceutical drug that has been shown to lower “bad” cholesterol while raising “good” cholesterol levels inpatients taking the drug, h...

Solved • Oct 17, 2018

Dimensional Analysis

Q. Apothecaries (druggists) use the following set of measures in the English system:20 grains ap = 1 scruple (exact)3 scruples = 1 dram ap (exact)8 dr...

Solved • Oct 17, 2018

Dimensional Analysis

Q. Perform the following unit conversions.c. 125 mL to quarts

Solved • Oct 17, 2018

Dimensional Analysis

Q. Perform the following unit conversions.c. A rectangular solid measures 1.0 m by 5.6 cm by 2.1 dm. Express its volume in cubic meters, liters, cubic...

Solved • Oct 16, 2018

Dimensional Analysis

Q. In a recent Grand Prix, the winner completed the race with an average speed of 229.8 km/h. What was his speed in miles per hour, meters per second,...

Solved • Oct 16, 2018

Dimensional Analysis

Q. A chemistry student is 159 cm tall and weighs 45.8 kg. What is her height in inches and weight in pounds?

Solved • Oct 16, 2018

Dimensional Analysis

Q. To prepare for a laboratory period, a student lab assistant needs 125 g of a compound. A bottle containing 1/4 lb is available. Did the student hav...

Solved • Oct 16, 2018

Dimensional Analysis

Q. Many chemistry conferences have held a 50-Trillion Angstrom Run (two significant figures). How long is this run in kilometers and in miles? (1 Å = ...

Solved • Oct 16, 2018

Dimensional Analysis

Q. Make the conversion indicated in each of the following:(d) the displacement volume of an automobile engine, 161 in.3 , to liters

Solved • Oct 16, 2018

Dimensional Analysis

Q. A long ton is defined as exactly 2240 lb. What is this mass in kilograms?

Solved • Oct 16, 2018

Dimensional Analysis

Q. Gasoline is sold by the liter in many countries. How many liters are required to fill a 12.0-gal gas tank?

Solved • Oct 16, 2018

Dimensional Analysis

Q. A very good 197-lb weight lifter lifted 192 kg in a move called the clean and jerk. What was the mass of the weight lifted in pounds?

Solved • Oct 16, 2018

Dimensional Analysis

Q. Is a 197-lb weight lifter light enough to compete in a class limited to those weighing 90 kg or less?

Solved • Oct 16, 2018

Dimensional Analysis

Q. The distance between the centers of the two oxygen atoms in an oxygen molecule is 1.21 × 10−8 cm. What is this distance in inches?

Solved • Oct 16, 2018

Dimensional Analysis

Q. The diameter of a red blood cell is about 3 × 10−4 in. What is its diameter in centimeters?

Solved • Oct 16, 2018