Question 1

What length of a cylindrical piece of tungsten wire having a radius of 2.35 mm has a mass of 92.3 g? The density of tungsten is 19.25 g/cm³ and Volume = $\pi$r²h.

Accepted Answer

To find the length (h), use the formula: Volume = mass/density. Convert the radius to cm (0.235 cm) and solve for h using the volume formula: V = πr²h. The correct length is 0.276 m or 2.76 × 10⁻¹ m.

Question 2

What is the difference between the accuracy of measurements and the precision of measurements?

Accepted Answer

The answer of What is the difference between the accuracy...

Question 3

A graph of a certain set of data is shown to be linear with a trendline of y = -25.2x + 6.What is the sign and slope of the trendline obtained from this data?

Accepted Answer

The sign of the slope can be determined by the coefficient in front of the x, which is -25.2. A negative coefficient means a negative slope, which eliminates choices B and C. The only remaining option with a negative slope is A.

Question 4

Calcium carbonate,or limestone,is relatively insoluble in water.At 25$^{\circ}$C,only 5.8 mg will dissolve in 1.0 liter of water.What volume of water is needed to dissolve 5.0 g of calcium carbonate?

Accepted Answer

To dissolve 5.0 g (5000 mg) of calcium carbonate, given that 5.8 mg dissolves in 1 L, you need 5000 mg / 5.8 mg/L = 862.07 L, which is approximately 8.6 × 10² L.

Question 5

You can identify a metal by carefully determining its density. A 29.51 g sample of an unknown metal is 1.50 cm long, 2.50 cm wide, and 1.00 cm thick.What is a possible identity of the element?

Accepted Answer

The answer of You can identify a metal by carefully...

Question 6

Significant figures allow us to estimate uncertainty in calculated values.In some circumstances,following significant figure rules can lead to estimates of uncertainty that are too high or low.This is the case for the mathematical expression below. 99 $\times$ 1.02 = 100.98 Following the rules governing significant figures in multiplication,the answer can be rounded to 1.0 $\times$ 10².What is wrong with rounding this answer to two significant figures?

Accepted Answer

The answer of Significant figures allow us to estimate uncertainty...

Question 7

A graph of number of marbles (y-axis)versus the weight of the marbles (x-axis,grams)is shown to be linear with a trendline of y = 8.1x.What is the weight of the marbles when the number of marbles is 32?

Accepted Answer

To find the weight of the marbles when the number of marbles is 32, set y = 32 in the equation y = 8.1x and solve for x: 32 = 8.1x, so x = 32 / 8.1 = 4.

Question 8

The density of a particular solid is 5.89 g/cm³ at 25$^{\circ}$C.What is its density in kilograms per cubic meter (kg/m³)?

Accepted Answer

To convert from g/cm³ to kg/m³, we need to multiply by 1000 since there are 1000 grams in a kilogram and 100 cm in a meter (1000g/1kg x 1m/100cm x 1cm³/1g = 10³ kg/m³). So, the density in kg/m³ is 5.89 x 10³ kg/m³, which is answer choice D.

Question 9

A 2.04 cm³ sample of $\underline{\text{ solid }}$ lithium metal has a density of 0.534 g/cm³.What volume does this sample of lithium occupy in its liquid state? The density of $\underline{\text{liquid }}$ lithium is 0.512 g/cm³.

Accepted Answer

The mass of the lithium sample is 2.04 cm³ * 0.534 g/cm³ = 1.08936 g. In the liquid state, the volume is mass/density = 1.08936 g / 0.512 g/cm³ = 2.12 cm³.

Question 10

A piece of metal (mass = 17.676 g)is placed in 11.00 mL of chloroform (d = 1.498 g/mL)in a 25-mL graduated cylinder.The chloroform level increases to 15.46 mL.The best value for density of this metal from these data is

Accepted Answer

The volume of the metal is the increase in chloroform level, which is 15.46 mL - 11.00 mL = 4.46 mL. Density is mass/volume, so 17.676 g / 4.46 mL = 3.96 g/mL.

Question 11

What volume of a pure liquid (density 0.710 g/mL)has a mass of 0.290 kg?

Accepted Answer

The answer of What volume of a pure liquid (density...

Question 12

Assuming the density of water is 1.00 g/cm³,the mass of 1.0 cubic meter (m³) of water is ________ grams.

Accepted Answer

The answer of Assuming the density of water is 1.00...

Question 13

The average speed of oxygen molecules at 690$^{\circ}$C is 1.60 $\times$ 10⁵ cm/s.Which of the following calculations would convert this speed to units of miles per hour?

Accepted Answer

The answer of The average speed of oxygen molecules at...

Question 14

How many 350-mg aspirin tablets can be made from 35.0 kg of aspirin?

Accepted Answer

To find the number of 350-mg tablets that can be made from 35.0 kg of aspirin, convert 35.0 kg to mg (35,000,000 mg) and divide by 350 mg per tablet. This results in 100,000 tablets.

Question 15

A thin sheet of iridium metal that is 2.13 cm by 6.40 cm has a mass of 82.8 g and a thickness of 2.68 mm.What is the density of iridium?

Accepted Answer

The density of a material is its mass per unit volume. The volume of the sheet is:$$V = (2.13 	ext{ cm})(6.40 	ext{ cm})(0.268 	ext{ cm}) = 3.67 	ext{ cm}^3$$The density is then:$$ho = \frac{m}{V} = \frac{82.8 	ext{ g}}{3.67 	ext{ cm}^3} = 22.6 	ext{ g/cm}^3$$

Question 16

Which response has the correct number of significant figures and units for the following mathematical operation?

Accepted Answer

The mathematical operation involves multiplication, so the number of significant figures in the final answer is determined by the number with the smallest number of significant figures in the calculation, which is 2.19. The units given in the options are all consistent with the given equation, so the correct unit is kcal. Therefore, the correct answer is 2.19 kcal, which is given by choice D.

Question 17

The distance from Austin,Texas,to Lincoln,Nebraska,is 822 miles by car.Which of the following series of calculations will yield this distance in units of kilometers?
(1 in = 2.54 cm (exact),1 mi = 5280 ft (exact),1 ft = 12 in (exact))

Accepted Answer

The answer of The distance from Austin,Texas,to Lincoln,Nebraska,is 822 miles...

Question 18

Calculate the mass of tin that occupies the same volume as 86.9 g of cobalt.The density of cobalt is 8.90 g/cm³ and the density of tin is 7.31 g/cm³.

Accepted Answer

First, calculate the volume of cobalt using its mass and density: Volume = 86.9 g / 8.90 g/cm³ = 9.76 cm³. Then, use this volume to find the mass of tin: Mass = 9.76 cm³ × 7.31 g/cm³ = 71.4 g.

Quiz 2: Mathlets Review: The Tools of Quantitative Chemistry

What length of a cylindrical piece of tungsten wire having a radius of 2.35 mm has a mass of 92.3 g? The density of tungsten is 19.25 g/cm³ and Volume = $\pi$ r²h.

What is the difference between the accuracy of measurements and the precision of measurements?

A graph of a certain set of data is shown to be linear with a trendline of y = -25.2x + 6.What is the sign and slope of the trendline obtained from this data?

Calcium carbonate,or limestone,is relatively insoluble in water.At 25 $^{\circ}$ C,only 5.8 mg will dissolve in 1.0 liter of water.What volume of water is needed to dissolve 5.0 g of calcium carbonate?

You can identify a metal by carefully determining its density. A 29.51 g sample of an unknown metal is 1.50 cm long, 2.50 cm wide, and 1.00 cm thick.What is a possible identity of the element?

A graph of number of marbles (y-axis) versus the weight of the marbles (x-axis,grams) is shown to be linear with a trendline of y = 8.1x.What is the weight of the marbles when the number of marbles is 32?

The density of a particular solid is 5.89 g/cm³ at 25 $^{\circ}$ C.What is its density in kilograms per cubic meter (kg/m³) ?

A 2.04 cm³ sample of $\underline{\text{ solid }}$ lithium metal has a density of 0.534 g/cm³.What volume does this sample of lithium occupy in its liquid state? The density of $\underline{\text{liquid }}$ lithium is 0.512 g/cm³.

A piece of metal (mass = 17.676 g) is placed in 11.00 mL of chloroform (d = 1.498 g/mL) in a 25-mL graduated cylinder.The chloroform level increases to 15.46 mL.The best value for density of this metal from these data is

What volume of a pure liquid (density 0.710 g/mL) has a mass of 0.290 kg?

Assuming the density of water is 1.00 g/cm³,the mass of 1.0 cubic meter (m³) of water is ________ grams.

The average speed of oxygen molecules at 690 $^{\circ}$ C is 1.60 $\times$ 10⁵ cm/s.Which of the following calculations would convert this speed to units of miles per hour?

How many 350-mg aspirin tablets can be made from 35.0 kg of aspirin?

A thin sheet of iridium metal that is 2.13 cm by 6.40 cm has a mass of 82.8 g and a thickness of 2.68 mm.What is the density of iridium?

The distance from Austin,Texas,to Lincoln,Nebraska,is 822 miles by car.Which of the following series of calculations will yield this distance in units of kilometers? (1 in = 2.54 cm (exact) ,1 mi = 5280 ft (exact) ,1 ft = 12 in (exact) )

Calculate the mass of tin that occupies the same volume as 86.9 g of cobalt.The density of cobalt is 8.90 g/cm³ and the density of tin is 7.31 g/cm³.

Quiz 2: Mathlets Review: The Tools of Quantitative Chemistry

What length of a cylindrical piece of tungsten wire having a radius of 2.35 mm has a mass of 92.3 g? The density of tungsten is 19.25 g/cm3 and Volume = π\piπ r2h.

What is the difference between the accuracy of measurements and the precision of measurements?

A graph of a certain set of data is shown to be linear with a trendline of y = -25.2x + 6.What is the sign and slope of the trendline obtained from this data?

Calcium carbonate,or limestone,is relatively insoluble in water.At 25 ∘^{\circ}∘ C,only 5.8 mg will dissolve in 1.0 liter of water.What volume of water is needed to dissolve 5.0 g of calcium carbonate?

You can identify a metal by carefully determining its density. A 29.51 g sample of an unknown metal is 1.50 cm long, 2.50 cm wide, and 1.00 cm thick.What is a possible identity of the element?

A graph of number of marbles (y-axis) versus the weight of the marbles (x-axis,grams) is shown to be linear with a trendline of y = 8.1x.What is the weight of the marbles when the number of marbles is 32?

The density of a particular solid is 5.89 g/cm3 at 25 ∘^{\circ}∘ C.What is its density in kilograms per cubic meter (kg/m3) ?

A 2.04 cm3 sample of solid ‾\underline{\text{ solid }} solid ​ lithium metal has a density of 0.534 g/cm3.What volume does this sample of lithium occupy in its liquid state? The density of liquid ‾\underline{\text{liquid }}liquid ​ lithium is 0.512 g/cm3.

A piece of metal (mass = 17.676 g) is placed in 11.00 mL of chloroform (d = 1.498 g/mL) in a 25-mL graduated cylinder.The chloroform level increases to 15.46 mL.The best value for density of this metal from these data is

What volume of a pure liquid (density 0.710 g/mL) has a mass of 0.290 kg?

Assuming the density of water is 1.00 g/cm3,the mass of 1.0 cubic meter (m3) of water is ________ grams.

The average speed of oxygen molecules at 690 ∘^{\circ}∘ C is 1.60 ×\times× 105 cm/s.Which of the following calculations would convert this speed to units of miles per hour?

How many 350-mg aspirin tablets can be made from 35.0 kg of aspirin?

A thin sheet of iridium metal that is 2.13 cm by 6.40 cm has a mass of 82.8 g and a thickness of 2.68 mm.What is the density of iridium?

Which response has the correct number of significant figures and units for the following mathematical operation?

The distance from Austin,Texas,to Lincoln,Nebraska,is 822 miles by car.Which of the following series of calculations will yield this distance in units of kilometers? (1 in = 2.54 cm (exact) ,1 mi = 5280 ft (exact) ,1 ft = 12 in (exact) )

Calculate the mass of tin that occupies the same volume as 86.9 g of cobalt.The density of cobalt is 8.90 g/cm3 and the density of tin is 7.31 g/cm3.

What length of a cylindrical piece of tungsten wire having a radius of 2.35 mm has a mass of 92.3 g? The density of tungsten is 19.25 g/cm³ and Volume = $\pi$ r²h.

Calcium carbonate,or limestone,is relatively insoluble in water.At 25 $^{\circ}$ C,only 5.8 mg will dissolve in 1.0 liter of water.What volume of water is needed to dissolve 5.0 g of calcium carbonate?

The density of a particular solid is 5.89 g/cm³ at 25 $^{\circ}$ C.What is its density in kilograms per cubic meter (kg/m³) ?

A 2.04 cm³ sample of $\underline{\text{ solid }}$ lithium metal has a density of 0.534 g/cm³.What volume does this sample of lithium occupy in its liquid state? The density of $\underline{\text{liquid }}$ lithium is 0.512 g/cm³.

Assuming the density of water is 1.00 g/cm³,the mass of 1.0 cubic meter (m³) of water is ________ grams.

The average speed of oxygen molecules at 690 $^{\circ}$ C is 1.60 $\times$ 10⁵ cm/s.Which of the following calculations would convert this speed to units of miles per hour?

Calculate the mass of tin that occupies the same volume as 86.9 g of cobalt.The density of cobalt is 8.90 g/cm³ and the density of tin is 7.31 g/cm³.