Question 1

A thin sheet of iridium metal that is 2.70 cm by 5.93 cm has a mass of 16.1 g and a thickness of 0.444 mm. What is the density of iridium?

Accepted Answer

To find the density of iridium, use the formula density = mass/volume. First, convert all measurements to cm (thickness = 0.444 mm = 0.0444 cm). The volume of the iridium sheet is 2.70 cm * 5.93 cm * 0.0444 cm = 0.712752 cm^3. The density is then 16.1 g / 0.712752 cm^3 = 22.600 g/cm^3.

Question 2

How many 500-mg aspirin tablets can be made from 50.0 kg of aspirin?

Accepted Answer

The answer of How many 500-mg aspirin tablets can be...

Question 3

Convert 42.12 cm³ to cubic inches (in³) given that 1 inch = 2.54 cm (exact).

Accepted Answer

The answer of Convert 42.12 cm³ to cubic inches (in³)...

Question 4

The density of a particular solid is 7.62 g/cm³ at 25°C. What is its density in kilograms per cubic meter (kg/m³)?

Accepted Answer

The answer of The density of a particular solid is...

Question 5

What is the volume of a cube that has an edge length of 0.011 m?

Accepted Answer

The answer of What is the volume of a cube...

Question 6

The SI unit for the diffusion coefficient is m²/s, but older texts sometimes report diffusion coefficients in units of in²/min. What is the value of a diffusion coefficient of 21.3 in²/min expressed in SI units? (2.54 cm = 1 in exactly)

Accepted Answer

To convert the diffusion coefficient from in^2/min to m^2/s, first convert inches to meters (1 inch = 0.0254 meters), then minutes to seconds. $21.3 \, \text{in}^2/\text{min} = 21.3 \times (0.0254 \, \text{m})^2/\text{min} = 21.3 \times (0.0254)^2 \, \text{m}^2/\text{min}$. Since there are 60 seconds in a minute, divide by 60 to convert to seconds: $21.3 \times (0.0254)^2 / 60 \, \text{m}^2/\text{s} = 2.29 \times 10^{-4} \, \text{m}^2/\text{s}$.

Question 7

If a gallon (3.78 L) of latex paint can cover 365 ft² of the surface of a wall, what is the average thickness of one coat of paint (in millimeters)? (12 in = 1 ft, 2.54 cm = 1 in)

Accepted Answer

First, convert the coverage area to square meters: $365 \, \text{ft}^2 = 365 \times (12 \times 2.54 \times 10^{-2})^2 \, \text{m}^2$. Then, divide the volume of paint (in cubic meters) by this area to find the thickness in meters, and finally convert to millimeters. The correct calculation leads to an answer in the order of $10^{-4}$ meters, or $10^{-1}$ millimeters, matching option A.

Question 8

Silver chloride (AgCl) is relatively insoluble in water. At 25 °C, 1.3 × 10³ L of water is needed to dissolve 2.5 g of AgCl. What mass (in milligrams) of AgCl will dissolve in 1.0 L of water?

Accepted Answer

The answer of Silver chloride (AgCl) is relatively insoluble in...

Question 9

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 the possible identity of the element?

Accepted Answer

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

Question 10

What length of a cylindrical piece of tungsten wire having a radius of 2.27 mm has a mass of 10.0 g? The density of tungsten is 19.25 g/cm³ and Volume = πr²h.

Accepted Answer

Using the formula for the volume of a cylinder, we have:

Volume = πr2h

We are given the radius (r = 2.27 mm) and the mass (m = 10.0 g), and we know the density (ρ=19.25 g/cm³). We can use the density to find the volume:

ρ = m/V => V = m/ρ = 10.0 g / 19.25 g/cm³ = 0.5195 cm³

Now we can solve for the height (h):

V = πr2h => h = V / (πr2) = 0.5195 cm³ / (π x (2.27 mm)² x 1 cm²/100 mm² ) = 0.321 cm or 3.21 x 10⁻² m

Therefore, the length of the wire is 3.21 x 10⁻² m or 3.21 x 10⁻² x 10⁻² = 3.21 x 10⁻⁴ m = 3.21 x 10⁻² cm. Choice C is the closest option.

Question 11

Calculate the mass of silver that occupies the same volume as 22.1 g of cobalt. The density of cobalt is 8.90 g/cm³ and the density of silver is 10.50 g/cm³.

Accepted Answer

Since we know the density of cobalt and the amount of cobalt, we can calculate the volume of cobalt that the given mass occupies using the formula:

density = mass/volume

Rearranging this formula, we get:

volume = mass/density

Plugging in the given values of mass (22.1 g) and density (8.90 g/cm³), we get:

volume of cobalt = 22.1 g / 8.90 g/cm³ = 2.48 cm³

Since silver occupies the same volume as cobalt, we can use the volume we just calculated to find the mass of silver it would take up, using the formula:

mass = density x volume

Plugging in the density of silver (10.50 g/cm³) and the volume we calculated (2.48 cm³), we get:

mass of silver = 10.50 g/cm³ x 2.48 cm³ = 26.1 g

Therefore, the answer is B, 26.1 g.

Question 12

How many feet (ft) make up 0.397 km if 1 mi = 1.609 km and 5280 ft = 1 mi?

Accepted Answer

0.397 km = 0.397 km * (1 mi / 1.609 km) * (5280 ft / 1 mi) = 1303.10 ft

Question 13

How many cubic millimeters equal one cubic meter?

Accepted Answer

The answer of How many cubic millimeters equal one cubic...

Question 14

A car averages 26.5 miles per gallon of gasoline. How many liters of gasoline will be needed for a trip of 621 km? Some conversion factors that may be helpful are the following: 1 qt = 0.946 L 1 mile = 1.609 km 4 qt = 1 gal (exact) 1 ft = 12 in (exact)

Accepted Answer

First, convert the trip distance from kilometers to miles: 621 km * (1 mile / 1.609 km) = 385.8 miles. Then, calculate the gallons needed: 385.8 miles / 26.5 miles/gallon = 14.56 gallons. Finally, convert gallons to liters: 14.56 gallons * (4 qt / 1 gallon) * (0.946 L / 1 qt) = 54.98 L, which is approximately 6 × 10^1 L.

Question 15

A cylinder has a radius of 2.38 mm and a height of 175 mm. Calculate the volume of the cylinder in liters. (Volume = πr²h)

Accepted Answer

The volume of a cylinder is given by the formula $V = \pi r^2 h$, where $r$ is the radius and $h$ is the height. Substituting the given values, $r = 2.38 \, \text{mm}$ and $h = 175 \, \text{mm}$, we get $V = \pi (2.38)^2 (175)$. Converting mm to meters for the final answer in liters (since $1 \, \text{L} = 1 \, \text{dm}^3 = 10^{-3} \, \text{m}^3$), we have $r = 0.00238 \, \text{m}$ and $h = 0.175 \, \text{m}$. Thus, $V = \pi (0.00238)^2 (0.175) \approx 3.11 \times 10^{-3} \, \text{m}^3 = 3.11 \times 10^{-3} \, \text{L}$, which corresponds to choice A.

Question 16

The volume of space occupied by a beryllium atom is 6.0 × 10^-30 m³. What is this volume in units of nm³?

Accepted Answer

The answer of The volume of space occupied by a...

Question 17

A 4.75 cm³ sample of solid gallium metal has a density of 5.910 g/cm³. What volume does this sample of gallium occupy in its liquid state? The density of liquid gallium is 6.100 g/cm³.

Accepted Answer

To find the volume of gallium in its liquid state, first calculate the mass of the solid gallium sample using its volume and density: mass = density × volume = 5.910 g/cm³ × 4.75 cm³ = 28.0725 g. Then, use the density of liquid gallium to find its volume: volume = mass / density = 28.0725 g / 6.100 g/cm³ = 4.60 cm³.

Question 18

The speed of light in a vacuum is 3.00 × 10⁸ m/s. What is the speed of light in units of kilometers per hour?

Accepted Answer

To convert the speed of light from meters per second to kilometers per hour, multiply by 3600 (the number of seconds in an hour) and divide by 1000 (to convert meters to kilometers). This gives $3.00 \times 10^8 \times 3600 / 1000 = 1.08 \times 10^9$ km/hr.

Question 19

What volume of a pure liquid (density 0.720 g/mL) has a mass of 0.420 kg?

Accepted Answer

To find the volume, use the formula $ \text{Volume} = \frac{\text{Mass}}{\text{Density}} $. Given mass = 0.420 kg (or 420 g, since 1 kg = 1000 g) and density = 0.720 g/mL, the volume = $ \frac{420 \, \text{g}}{0.720 \, \text{g/mL}} = 583.33 \, \text{mL} $, which is closest to 5.83 × $10^2$ mL.

Question 20

Calcium carbonate, or limestone, is relatively insoluble in water. At 25 °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

The answer of Calcium carbonate, or limestone, is relatively insoluble...

Quiz 2: Lets Review: the Tools of Quantitative Chemistry

A thin sheet of iridium metal that is 2.70 cm by 5.93 cm has a mass of 16.1 g and a thickness of 0.444 mm. What is the density of iridium?

How many 500-mg aspirin tablets can be made from 50.0 kg of aspirin?

Convert 42.12 cm³ to cubic inches (in³) given that 1 inch = 2.54 cm (exact) .

The density of a particular solid is 7.62 g/cm³ at 25°C. What is its density in kilograms per cubic meter (kg/m³) ?

What is the volume of a cube that has an edge length of 0.011 m?

The SI unit for the diffusion coefficient is m²/s, but older texts sometimes report diffusion coefficients in units of in²/min. What is the value of a diffusion coefficient of 21.3 in²/min expressed in SI units? (2.54 cm = 1 in exactly)

If a gallon (3.78 L) of latex paint can cover 365 ft² of the surface of a wall, what is the average thickness of one coat of paint (in millimeters) ? (12 in = 1 ft, 2.54 cm = 1 in)

Silver chloride (AgCl) is relatively insoluble in water. At 25 °C, 1.3 × 10³ L of water is needed to dissolve 2.5 g of AgCl. What mass (in milligrams) of AgCl will dissolve in 1.0 L of water?

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 the possible identity of the element?

What length of a cylindrical piece of tungsten wire having a radius of 2.27 mm has a mass of 10.0 g? The density of tungsten is 19.25 g/cm³ and Volume = πr²h.

Calculate the mass of silver that occupies the same volume as 22.1 g of cobalt. The density of cobalt is 8.90 g/cm³ and the density of silver is 10.50 g/cm³.

How many feet (ft) make up 0.397 km if 1 mi = 1.609 km and 5280 ft = 1 mi?

How many cubic millimeters equal one cubic meter?

A car averages 26.5 miles per gallon of gasoline. How many liters of gasoline will be needed for a trip of 621 km? Some conversion factors that may be helpful are the following: 1 qt = 0.946 L 1 mile = 1.609 km 4 qt = 1 gal (exact) 1 ft = 12 in (exact)

A cylinder has a radius of 2.38 mm and a height of 175 mm. Calculate the volume of the cylinder in liters. (Volume = πr²h)

The volume of space occupied by a beryllium atom is 6.0 × 10^-30 m³. What is this volume in units of nm³?

A 4.75 cm³ sample of solid gallium metal has a density of 5.910 g/cm³. What volume does this sample of gallium occupy in its liquid state? The density of liquid gallium is 6.100 g/cm³.

The speed of light in a vacuum is 3.00 × 10⁸ m/s. What is the speed of light in units of kilometers per hour?

What volume of a pure liquid (density 0.720 g/mL) has a mass of 0.420 kg?

Calcium carbonate, or limestone, is relatively insoluble in water. At 25 °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?

Quiz 2: Lets Review: the Tools of Quantitative Chemistry

A thin sheet of iridium metal that is 2.70 cm by 5.93 cm has a mass of 16.1 g and a thickness of 0.444 mm. What is the density of iridium?

How many 500-mg aspirin tablets can be made from 50.0 kg of aspirin?

Convert 42.12 cm3 to cubic inches (in3) given that 1 inch = 2.54 cm (exact) .

The density of a particular solid is 7.62 g/cm3 at 25°C. What is its density in kilograms per cubic meter (kg/m3) ?

What is the volume of a cube that has an edge length of 0.011 m?

The SI unit for the diffusion coefficient is m2/s, but older texts sometimes report diffusion coefficients in units of in2/min. What is the value of a diffusion coefficient of 21.3 in2/min expressed in SI units? (2.54 cm = 1 in exactly)

If a gallon (3.78 L) of latex paint can cover 365 ft2 of the surface of a wall, what is the average thickness of one coat of paint (in millimeters) ? (12 in = 1 ft, 2.54 cm = 1 in)

Silver chloride (AgCl) is relatively insoluble in water. At 25 °C, 1.3 × 103 L of water is needed to dissolve 2.5 g of AgCl. What mass (in milligrams) of AgCl will dissolve in 1.0 L of water?

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 the possible identity of the element?

What length of a cylindrical piece of tungsten wire having a radius of 2.27 mm has a mass of 10.0 g? The density of tungsten is 19.25 g/cm3 and Volume = πr2h.

Calculate the mass of silver that occupies the same volume as 22.1 g of cobalt. The density of cobalt is 8.90 g/cm3 and the density of silver is 10.50 g/cm3.

How many feet (ft) make up 0.397 km if 1 mi = 1.609 km and 5280 ft = 1 mi?

How many cubic millimeters equal one cubic meter?

A car averages 26.5 miles per gallon of gasoline. How many liters of gasoline will be needed for a trip of 621 km? Some conversion factors that may be helpful are the following: 1 qt = 0.946 L 1 mile = 1.609 km 4 qt = 1 gal (exact) 1 ft = 12 in (exact)

A cylinder has a radius of 2.38 mm and a height of 175 mm. Calculate the volume of the cylinder in liters. (Volume = πr2h)

The volume of space occupied by a beryllium atom is 6.0 × 10-30 m3. What is this volume in units of nm3?

A 4.75 cm3 sample of solid gallium metal has a density of 5.910 g/cm3. What volume does this sample of gallium occupy in its liquid state? The density of liquid gallium is 6.100 g/cm3.

The speed of light in a vacuum is 3.00 × 108 m/s. What is the speed of light in units of kilometers per hour?

What volume of a pure liquid (density 0.720 g/mL) has a mass of 0.420 kg?

Calcium carbonate, or limestone, is relatively insoluble in water. At 25 °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?

Convert 42.12 cm³ to cubic inches (in³) given that 1 inch = 2.54 cm (exact) .

The density of a particular solid is 7.62 g/cm³ at 25°C. What is its density in kilograms per cubic meter (kg/m³) ?

The SI unit for the diffusion coefficient is m²/s, but older texts sometimes report diffusion coefficients in units of in²/min. What is the value of a diffusion coefficient of 21.3 in²/min expressed in SI units? (2.54 cm = 1 in exactly)

If a gallon (3.78 L) of latex paint can cover 365 ft² of the surface of a wall, what is the average thickness of one coat of paint (in millimeters) ? (12 in = 1 ft, 2.54 cm = 1 in)

Silver chloride (AgCl) is relatively insoluble in water. At 25 °C, 1.3 × 10³ L of water is needed to dissolve 2.5 g of AgCl. What mass (in milligrams) of AgCl will dissolve in 1.0 L of water?

What length of a cylindrical piece of tungsten wire having a radius of 2.27 mm has a mass of 10.0 g? The density of tungsten is 19.25 g/cm³ and Volume = πr²h.

Calculate the mass of silver that occupies the same volume as 22.1 g of cobalt. The density of cobalt is 8.90 g/cm³ and the density of silver is 10.50 g/cm³.

A cylinder has a radius of 2.38 mm and a height of 175 mm. Calculate the volume of the cylinder in liters. (Volume = πr²h)

The volume of space occupied by a beryllium atom is 6.0 × 10^-30 m³. What is this volume in units of nm³?

A 4.75 cm³ sample of solid gallium metal has a density of 5.910 g/cm³. What volume does this sample of gallium occupy in its liquid state? The density of liquid gallium is 6.100 g/cm³.

The speed of light in a vacuum is 3.00 × 10⁸ m/s. What is the speed of light in units of kilometers per hour?