Question 1

According to dimensional analysis, which of the following is a correct set-up for the problem "How many millimeters are there in 12.8 feet?"

Accepted Answer

The answer of According to dimensional analysis, which of the...

Question 2

4.34 quarts is equivalent to how many microliters?

Accepted Answer

1 quart = 946.353 mL4.34 quarts = 4.34 * 946.353 mL = 4110.02 mL1 mL = 1000 microliters4110.02 mL = 4110.02 * 1000 microliters = 4.11 x 10⁶ microliters

Question 3

256 college students each donated one pint of blood. How many milliliters of blood did the students donate?

Accepted Answer

One pint is approximately 473.176 milliliters. Multiplying this by 256 students gives 121,092.352 mL, which rounds to 121,100 mL.

Question 4

26.9 square centimeters is equivalent to how many square feet?

Accepted Answer

To convert square centimeters to square feet, you divide by the conversion factor (1 square foot = 929.0304 square centimeters). So, 26.9 cm² / 929.0304 = approximately 0.0290 square feet.

Question 5

Which of the following samples has the largest volume?

Accepted Answer

Option A represents 3.2 x 10^13 dL (deciliters), which is equivalent to 3.2 x 10^12 liters. This is larger than the volumes represented in the other options when converted to liters for comparison.

Question 6

Which of these samples has the smallest mass?

Accepted Answer

1.6 x 10^-4 mg is the smallest mass because it is equivalent to 1.6 x 10^-7 g, which is smaller than the other options when converted to grams.

Question 7

The typical volume of an aluminum can of soda is 355 mL. What is the equivalent volume in gallons?

Accepted Answer

To convert 355 mL to gallons, use the conversion factor 1 gallon = 3,785.41 mL. Thus, 355 mL is equivalent to 355 mL / 3,785.41 mL/gal = 0.0938 gallons, which rounds to 0.0939 gallons.

Question 8

The average adult has approximately 9.0 pints of blood. If 20 drops of blood is equivalent to 1 mL, how many drops of blood does the average human contain?

Accepted Answer

The average adult has approximately 9.0 pints of blood. 1 pint is approximately equal to 473.176 mL. Therefore, 9.0 pints is equal to 9.0 * 473.176 mL = 4258.584 mL. Since 20 drops of blood is equivalent to 1 mL, the total number of drops in 4258.584 mL is 4258.584 * 20 = 85,171.68 drops, which rounds to approximately 85,000 drops.

Question 9

Global warming primarily results from the increasing concentration of carbon dioxide (CO₂) in the Earth's atmosphere. A sport utility vehicle (SUV) typically produces 4.31 pounds of CO₂ per gallon of gasoline consumed, is driven an average of 15,000 miles per year, and consumes gasoline at the rate of 14.2 miles per gallon. Calculate the annual production of CO₂ (in pounds) by a typical SUV.

Accepted Answer

To calculate the annual production of CO2 by a typical SUV, you divide the annual mileage by the miles per gallon to find the gallons of gasoline consumed annually, then multiply by the pounds of CO2 produced per gallon. This gives (15,000 miles / 14.2 miles per gallon) * 4.31 pounds of CO2 per gallon = 4,577 pounds of CO2 per year, which rounds to approximately 4600 lb/yr.

Question 10

What is the mass of 36.0 mL of a liquid if its density is 2.70 g/mL?

Accepted Answer

The mass of the liquid can be found by multiplying its volume by its density: mass = density × volume = 2.70 g/mL × 36.0 mL = 97.2 g.

Question 11

What volume of a solution with a density of 13.9 g/mL is needed to provide 155 grams of solution?

Accepted Answer

To find the volume of the solution, divide the mass of the solution by its density: Volume = Mass / Density = 155 g / 13.9 g/mL = 11.2 mL.

Question 12

If object A weighs 24 grams and has a volume of 3 mL and object B weighs 14 g and has a volume of 7 mL, ________.

Accepted Answer

The density of an object is calculated by dividing its mass by its volume. For object A, the density is 24g/3mL = 8g/mL. For object B, the density is 14g/7mL = 2g/mL. Therefore, A is four times as dense as B.

Question 13

Density is an easy way to distinguish between gold (density: approx. 19 g/cm³), fool's gold (density: approx. 4.5 g/cm³), and sand (density: approx. 2.5 g/cm³). If a large golden rock has a mass of 252 g and a volume of 56 cm³, which type of mineral is it?

Accepted Answer

The answer of Density is an easy way to distinguish...

Question 14

Automotive batteries generally are filled with sulfuric acid. If a battery has a volume of 1.86 L and contains 3.42 x 10³ grams of sulfuric acid, what is the density of sulfuric acid in g/mL?

Accepted Answer

The density of a substance is calculated by dividing its mass by its volume. Given that the mass of sulfuric acid is $3.42 \times 10^{13}$ grams and the volume is 1.86 L (which is equivalent to 1860 mL since 1 L = 1000 mL), the density can be calculated as $ \frac{3.42 \times 10^{13} \text{ grams}}{1860 \text{ mL}} $, which equals approximately 1.84 g/mL.

Question 15

Chloroform was used as an anesthetic in the early days of surgery. If its density is 1.492 g/mL, what is the mass of 225 mL?

Accepted Answer

The mass of chloroform can be calculated using the formula mass = density × volume. Given the density of chloroform is 1.492 g/mL and the volume is 225 mL, the mass is 1.492 g/mL × 225 mL = 335.7 g, which rounds to 336 g.

Question 16

A sample of metal has a mass of 27.24 g and a volume of 2.20 mL. What is the correct value (correct number of significant figures) of its density using these data?

Accepted Answer

The density is calculated by dividing mass by volume, which gives 27.24 g / 2.20 mL = 12.3818 g/mL. However, the answer must be reported with the correct number of significant figures based on the given data, which is 3 significant figures for both the mass and volume. Therefore, the correct value, rounded to 3 significant figures, is 12.4 g/mL.

Question 17

A certain children's fever reducing medicine has a concentration of 250 mg/10 mL. If a child is to receive 2 teaspoons of this medicine, how many mg of medicine is being received in one dose? (1 tsp = 5 mL)

Accepted Answer

Two teaspoons equal 10 mL. Since the concentration is 250 mg/10 mL, the child receives 250 mg in one dose.

Question 18

A certain infant analgesic medicine has a single dose of 36.0 mg/kg of body weight. How much analgesic will be administered in a single dose for an 18.4 pound toddler?

Accepted Answer

The answer of A certain infant analgesic medicine has a...

Question 19

What mass, in grams, of a 5.00% by mass sugar water solution is needed to supply 12.5 g of sugar?

Accepted Answer

To find the mass of the solution needed, use the formula: mass of solution = mass of solute / (percentage by mass / 100). Here, mass of solution = 12.5 g / (5.00 / 100) = 250 g, which corresponds to choice B.

Question 20

How many grams of alcohol are present in 2 bottles (992 g total mass of mixture) of an alcohol/water mixture of that is 25.6% alcohol by mass?

Accepted Answer

To find the mass of alcohol in the mixture, multiply the total mass of the mixture by the percentage of alcohol (as a decimal). So, 992 g * 0.256 = 253.952 g, which rounds to 254 g.

Quiz 3: Unit Systems and Dimensional Analysis

According to dimensional analysis, which of the following is a correct set-up for the problem "How many millimeters are there in 12.8 feet?"

4.34 quarts is equivalent to how many microliters?

256 college students each donated one pint of blood. How many milliliters of blood did the students donate?

26.9 square centimeters is equivalent to how many square feet?

Which of the following samples has the largest volume?

Which of these samples has the smallest mass?

The typical volume of an aluminum can of soda is 355 mL. What is the equivalent volume in gallons?

The average adult has approximately 9.0 pints of blood. If 20 drops of blood is equivalent to 1 mL, how many drops of blood does the average human contain?

What is the mass of 36.0 mL of a liquid if its density is 2.70 g/mL?

What volume of a solution with a density of 13.9 g/mL is needed to provide 155 grams of solution?

If object A weighs 24 grams and has a volume of 3 mL and object B weighs 14 g and has a volume of 7 mL, ________.

Density is an easy way to distinguish between gold (density: approx. 19 g/cm³) , fool's gold (density: approx. 4.5 g/cm³) , and sand (density: approx. 2.5 g/cm³) . If a large golden rock has a mass of 252 g and a volume of 56 cm³, which type of mineral is it?

Automotive batteries generally are filled with sulfuric acid. If a battery has a volume of 1.86 L and contains 3.42 x 10³ grams of sulfuric acid, what is the density of sulfuric acid in g/mL?

Chloroform was used as an anesthetic in the early days of surgery. If its density is 1.492 g/mL, what is the mass of 225 mL?

A sample of metal has a mass of 27.24 g and a volume of 2.20 mL. What is the correct value (correct number of significant figures) of its density using these data?

A certain children's fever reducing medicine has a concentration of 250 mg/10 mL. If a child is to receive 2 teaspoons of this medicine, how many mg of medicine is being received in one dose? (1 tsp = 5 mL)

A certain infant analgesic medicine has a single dose of 36.0 mg/kg of body weight. How much analgesic will be administered in a single dose for an 18.4 pound toddler?

What mass, in grams, of a 5.00% by mass sugar water solution is needed to supply 12.5 g of sugar?

How many grams of alcohol are present in 2 bottles (992 g total mass of mixture) of an alcohol/water mixture of that is 25.6% alcohol by mass?

Quiz 3: Unit Systems and Dimensional Analysis

According to dimensional analysis, which of the following is a correct set-up for the problem "How many millimeters are there in 12.8 feet?"

4.34 quarts is equivalent to how many microliters?

256 college students each donated one pint of blood. How many milliliters of blood did the students donate?

26.9 square centimeters is equivalent to how many square feet?

Which of the following samples has the largest volume?

Which of these samples has the smallest mass?

The typical volume of an aluminum can of soda is 355 mL. What is the equivalent volume in gallons?

The average adult has approximately 9.0 pints of blood. If 20 drops of blood is equivalent to 1 mL, how many drops of blood does the average human contain?

What is the mass of 36.0 mL of a liquid if its density is 2.70 g/mL?

What volume of a solution with a density of 13.9 g/mL is needed to provide 155 grams of solution?

If object A weighs 24 grams and has a volume of 3 mL and object B weighs 14 g and has a volume of 7 mL, ________.

Density is an easy way to distinguish between gold (density: approx. 19 g/cm3) , fool's gold (density: approx. 4.5 g/cm3) , and sand (density: approx. 2.5 g/cm3) . If a large golden rock has a mass of 252 g and a volume of 56 cm3, which type of mineral is it?

Automotive batteries generally are filled with sulfuric acid. If a battery has a volume of 1.86 L and contains 3.42 x 103 grams of sulfuric acid, what is the density of sulfuric acid in g/mL?

Chloroform was used as an anesthetic in the early days of surgery. If its density is 1.492 g/mL, what is the mass of 225 mL?

A sample of metal has a mass of 27.24 g and a volume of 2.20 mL. What is the correct value (correct number of significant figures) of its density using these data?

A certain children's fever reducing medicine has a concentration of 250 mg/10 mL. If a child is to receive 2 teaspoons of this medicine, how many mg of medicine is being received in one dose? (1 tsp = 5 mL)

A certain infant analgesic medicine has a single dose of 36.0 mg/kg of body weight. How much analgesic will be administered in a single dose for an 18.4 pound toddler?

What mass, in grams, of a 5.00% by mass sugar water solution is needed to supply 12.5 g of sugar?

How many grams of alcohol are present in 2 bottles (992 g total mass of mixture) of an alcohol/water mixture of that is 25.6% alcohol by mass?

Density is an easy way to distinguish between gold (density: approx. 19 g/cm³) , fool's gold (density: approx. 4.5 g/cm³) , and sand (density: approx. 2.5 g/cm³) . If a large golden rock has a mass of 252 g and a volume of 56 cm³, which type of mineral is it?

Automotive batteries generally are filled with sulfuric acid. If a battery has a volume of 1.86 L and contains 3.42 x 10³ grams of sulfuric acid, what is the density of sulfuric acid in g/mL?