Chemistry Chemistry Practice Problems Solutions Library

Dimensional Analysis Solutions Library

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439 solutions

Dimensional Analysis

Q. The distance between the atoms of H−Br is 1.41 Å. What is the distance in meters?Express your answer in meters to three significant figures.The dip...

Solved • Jul 2, 2020

Dimensional Analysis

Q. Part D. A specific brand of gourmet chocolate candy contains 7.00 g of dietary fat in each 22.7-g piece. How many kilograms of dietary fat are in a...

Solved • Jul 1, 2020

Dimensional Analysis

Q. Part C. A sprinter set a high school record in track and field, running 200.0 m in 22.0 s . What is the average speed of the sprinter in kilometers...

Solved • Jul 1, 2020

Dimensional Analysis

Q. Part B. While in Europe, if you drive 125 km per day, how much money would you spend on gas in one week if gas costs 1.10 euros per liter and your ...

Solved • Jul 1, 2020

Dimensional Analysis

Q. Part A. In Europe gasoline efficiency is measured in km/L If your car's gas mileage is 31.0 mi/ gal how many liters of gasoline would you need to b...

Solved • Jul 1, 2020

Dimensional Analysis

Q. Part C. How many loads of laundry will each shift pay for if the cost per load rises to 16 quarters?Express your answer numerically as an integer.Y...

Solved • Jul 1, 2020

Dimensional Analysis

Q. Part B. How many loads of laundry can you wash if you work 3 shifts?Express your answer numerically as an integer.You wash dishes for a chemistry l...

Solved • Jul 1, 2020

Dimensional Analysis

Q. Part A. How many shifts must you work if you wish to wash 10 loads of laundry?Express your answer numerically as an integer.You wash dishes for a c...

Solved • Jul 1, 2020

Dimensional Analysis

Q. Part A. The conversion factor relating miles to meters is 1 mile = 1610 m.The speed of light is 3.00 × 108 m/ s. How fast is this in miles per hour...

Solved • Jul 1, 2020

Dimensional Analysis

Q. Part B. The conversion factor relating feet to meters is 1 ft = 0.305 m. Keep in mind that when using conversion factors, you want to make sure tha...

Solved • Jul 1, 2020

Dimensional Analysis

Q. Part A. What is the volume of the plate? Express the volume numerically in cubic centimeters.Monel metal is a corrosion-resistant copper-nickel all...

Solved • Jul 1, 2020

Dimensional Analysis

Q. What is the weight, in pounds, of a 245-kg object on Jupiter?  Express the weight numerically in pounds.Kilograms are a measure of mass only, but p...

Solved • Jun 30, 2020

Dimensional Analysis

Q. An object with a mass of 245 kg was weighed at each of the celestial locations given in the table. Rank these locations by the weight of the object...

Solved • Jun 30, 2020

Dimensional Analysis

Q. Using modern analytical techniques, it is possible to detect sodium ions in concentrations as low as 70 pg/mL.(b) What is this detection limit expr...

Solved • Jun 30, 2020

Dimensional Analysis

Q. A bottling plant has 1.27276×105 bottles with a capacity of 355 mL, 1.08992×105 caps, and 4.8795×104 L of beverage.Which component limits the produ...

Solved • Jun 30, 2020

Dimensional Analysis

Q. The average concentration of gold in seawater is 100 fM (femtomolar).  Given that the price of gold is $1764.20 per troy ounce (1 troy ounce = 31.1...

Solved • Jun 30, 2020

Dimensional Analysis

Q. A bottling plant has 1.27276×105 bottles with a capacity of 355 mL, 1.08992×105 caps, and 4.8795×104 L of beverage.How many caps are left over?

Solved • Jun 30, 2020

Dimensional Analysis

Q. A bottling plant has 1.27276×105 bottles with a capacity of 355 mL, 1.08992×105 caps, and 4.8795×104 L of beverage.How much beverage is left over? ...

Solved • Jun 30, 2020

Dimensional Analysis

Q. A bottling plant has 1.27276×105 bottles with a capacity of 355 mL, 1.08992×105 caps, and 4.8795×104 L of beverage.How many bottles are left over?

Solved • Jun 30, 2020

Dimensional Analysis

Q. A bottling plant has 1.27276×105 bottles with a capacity of 355 mL, 1.08992×105 caps, and 4.8795×104 L of beverage.How many bottles can be filled a...

Solved • Jun 30, 2020

Dimensional Analysis

Q. Part A - Conversions Involving Density.  Trex is a manufactured substitute for wood compounded from post-consumer plastic and wood. It is frequentl...

Solved • Jun 29, 2020

Dimensional Analysis

Q. Fabiola, who lives in Mexico City, fills her car with gas, paying 357 pesos for 40.0 L. What is her fuel cost in dollars per gallon, if 1 peso = 0....

Solved • Jun 29, 2020

Dimensional Analysis

Q. When you convert units, how do you decide which part of the conversion factor is in the numerator and which is in the denominator?

Solved • Jun 29, 2020

Dimensional Analysis

Q. How do we determine how many digits to use in conversion factors, such as the one between pounds and grams in Sample Exercise 1.9 in the textbook?

Solved • Jun 29, 2020

Dimensional Analysis

Q. Mo Farah won the 10,000 meter race in the 2012 Olympics with an official time of 27 minutes, 30.42 s. To the correct number of significant figures,...

Solved • Jun 29, 2020

Dimensional Analysis

Q. Determine the number of picoseconds in 12 minutes.

Solved • Jun 25, 2020

Dimensional Analysis

Q. The Honda Insight, a hybrid electric vehicle, has an EPA gas mileage rating of 57 mi/gal in the city. (a) How many kilometers can the Insight trave...

Solved • Jun 25, 2020

Dimensional Analysis

Q. An experimental spacecraft consumes a special fuel at a rate of 283 L/min. The density of the fuel is 0.710 g/mL and the standard enthalpy of combu...

Solved • Jun 16, 2020

Dimensional Analysis

Q. Pure copper penny contains approximately 3.00x1022 copper atoms.1 doz = 121 gross = 1441 ream = 5001 = 6.022x1023Use these definitions to determine...

Solved • Jun 16, 2020

Dimensional Analysis

Q. Which of the following correctly shows how to convert a density of 20.1 g cm-3 to units of kg m-3?

Solved • Apr 30, 2020

Dimensional Analysis

Q. A patient needs to receive 85 grams of glucose every 12 hours. What volume of a 5.0%(m/v) glucose solution needs to be administered to the patient ...

Solved • Apr 29, 2020

Dimensional Analysis

Q. Suppose that you measure a pen to be 10.5 cm long. Convert this to meters.

Solved • Apr 27, 2020

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. In a sunny location, sunlight has a power density of about 1 kW/m2. Photovoltaic solar cells can convert this power into electricity with 16% effic...

Solved • Nov 12, 2018

Dimensional Analysis

Q. The world burns the fossil fuel equivalent of 6x1012 kg of petroleum per year. Assume that all of this petroleum is in the form of octane (C8H18). ...

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 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. In 2014, a major chemical leak at a facility in West Virginia released 7500 gallons of MCHM (4-methylcyclohexylmethanol, C8H16O) into the Elk River...

Solved • Oct 31, 2018

Dimensional Analysis

Q. Very small semiconductor crystals composed of approximately 1000 to 100,000 atoms, are called quantum dots. Quantum dots made of the semiconductor ...

Solved • Oct 31, 2018

Dimensional Analysis

Q. You may want to reference (Pages 93 - 98) Section 3.4 while completing this problem.If Avogadros number of pennies is divided equally among the 276...

Solved • Oct 31, 2018

Dimensional Analysis

Q. You may want to reference (Pages 93 - 98) Section 3.4 while completing this problem.If Avogadro's number of pennies is divided equally among the 21...

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. At 20 oC (approximately room temperature) the average velocity of N2 molecules in air is 1050 mph.What is the average speed in m/s?

Solved • Oct 31, 2018

Dimensional Analysis

Q. Hydrogen cyanide, HCN, is a poisonous gas. The lethal dose is approximately 310 mg HCN per kilogram of air when inhaled.HCN forms when synthetic fi...

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. Convert this energy, 2.04×105 J to calories.

Solved • Oct 25, 2018

Dimensional Analysis

Q. A watt is a measure of power (the rate of energy change) equal to 1 J/s.Calculate the number of joules in a kilowatt-hour.

Solved • Oct 25, 2018

Dimensional Analysis

Q. A watt is a measure of power (the rate of energy change) equal to 1 J/s.An adult person radiates heat to the surroundings at about the same rate as...

Solved • Oct 25, 2018

Dimensional Analysis

Q. Consider the two spheres shown here , one made of silver and the other of aluminum. The spheres are dropped from a height of 2.1 m.What is the velo...

Solved • Oct 25, 2018

Dimensional Analysis

Q. Use of the British thermal unit (Btu) is common in some types of engineering work. A Btu is the amount of heat required to raise the temperature of...

Solved • Oct 25, 2018

Dimensional Analysis

Q. Consider the two spheres shown here, one made of silver and the other of aluminum.What is the mass of the silver sphere in kg?

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. 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. The U.S. quarter has a mass of 5.67 g and is approximately 1.55 mm thick.The U.S. National Debt Clock showed the outstanding public debt to be $16,...

Solved • Oct 25, 2018

Dimensional Analysis

Q. How many liters of wine can be held in a wine barrel whose capacity is 33 gal ?

Solved • Oct 25, 2018

Dimensional Analysis

Q. The recommended adult dose of Elixophyllin, a drug used to treat asthma, is 6 mg/kg of body mass. Calculate the dose in milligrams for a 180 lb per...

Solved • Oct 25, 2018

Dimensional Analysis

Q. When the coffee is brewed according to directions, a pound of coffee beans yields 50 cups of coffee (4 cups = 1 qt). How many kg of coffee are requ...

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. An atom of rhodium (Rh) has a diameter of about 2.7 x 10–8 cm. How many Rh atoms would have to be placed side by side to span a distance of 5.5 m?

Solved • Oct 25, 2018

Dimensional Analysis

Q. An atom of rhodium (Rh) has a diameter of about 2.7x10-8 cm.If the atom is assumed to be a sphere, what is the volume in m3 of a single Rh atom?

Solved • Oct 25, 2018

Dimensional Analysis

Q. An atom of rhodium (Rh) has a diameter of about 2.7x10-8 cm.What is the radius of a rhodium atom in meters (m)?

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. 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