For each of the following processes, does the potential energy of the object(s) increase or decrease? (b) Water is pumped from ground level to the reservoir of a water tower 30 m above the ground.

Use appropriate metric prefixes to write the following measurements without use of exponents: c. 6.48×10^-7 L

Use appropriate metric prefixes to write the following measurements without use of exponents: d. 1.81×10^-2 s

Use appropriate metric prefixes to write the following measurements without use of exponents: g. 5.1×10² cm

Make the following conversions: a. 72 °F to °C

Make the following conversions: d. 315 K to °F

Make the following conversions: e. 2500 °F to K

Make the following conversions: f. 0 K to °F

The temperature on a warm summer day is 87 °F. What is the temperature in °C?

Many scientific data are reported at 25 °C. What is this temperature in kelvins and in degrees Fahrenheit?

(a) A sample of tetrachloroethylene, a liquid used in dry cleaning that is being phased out because of its potential to cause cancer, has a mass of 40.55 g and a volume of 25.0 mL at 25 °C. What is its density at this temperature? Will tetrachloroethylene float on water? (Materials that are less dense than water will float.)

(b) Carbon dioxide (CO₂) is a gas at room temperature and pressure. However, carbon dioxide can be put under pressure to become a 'supercritical fluid' that is a much safer dry-cleaning agent than tetrachloroethylene. At a certain pressure, the density of supercritical CO₂ is 0.469 g/cm³. What is the mass of a 25.0-mL sample of supercritical CO₂ at this pressure?

b. An experiment requires 78.1 g of benzene, a liquid whose density is 0.876 g/mL. Rather than weigh the sample on a balance, a chemist chooses to dispense the liquid using a graduated cylinder. What volume of the liquid should he use?

c. A cubic piece of metal measures 5.00 cm on each edge. If the metal is nickel, whose density is 8.90 g/cm³, what is the mass of the cube?

(d) A cubic piece of metal measures 5.00 cm on each edge. If the metal is nickel, whose density is 8.90 g/cm³, what is the mass of the cube?

a. After the label fell off a bottle containing a clear liquid believed to be a solvent called tetrahydrofuran, a chemist measured the density of the liquid to verify its identity. A 25.0-mL portion of the liquid had a mass of 22.08 g. A chemistry handbook lists the density of tetrahydrofuran at 25 °C as 0.8833 g/mL. Is the calculated density in agreement with the tabulated value?

b. An experiment requires 50.0 g of a substance called n-hexane, whose density at 25 °C is 0.6606 g/mL. What volume of n-hexane should be used?

The density of titanium metal is 4.506 g/cm³ at 20 °C. What is the mass of a spherical ball of titanium with a diameter of 2.00 cm. [The volume of a sphere is (4/3) πr³, where r is the radius.]

For January through April 2020, at the height of the global coronavirus pandemic, it is estimated that global emissions of carbon dioxide (CO₂) decreased by 940 million metric tons (1 metric ) compared to the same period in 2019. a. Express this mass of CO₂ in grams without exponential notation, using an appropriate metric prefix.

Indicate which of the following are exact numbers: (a) the mass of a 3- by 5-in. index card, (b) the number of ounces in a pound, (c) the volume of a cup of Seattle's Best coffee, (d) the number of inches in a mile, (e) the number of microseconds in a week, (f) the number of pages in this book.

Indicate which of the following are exact numbers: (a) the mass of a 32-oz bag of sugar, (b) the number of students in your chemistry class, (c) the temperature of the surface of the Sun, (d) the mass of a postage stamp, (e) the number of milliliters in a cubic meter of water, (f) the average height of NBA basketball players.

What is the number of significant figures in each of the following measured quantities? e. 3.50×10³ cm³

Indicate the number of significant figures in each of the following measured quantities: e. 12.8690 g

(a) The diameter of Earth at the equator is 7926.381 mi. Round this number to three significant figures and express it in standard exponential notation.

Carry out the following operations and express the answers with the appropriate number of significant numbers. (a) 14.3505 + 2.65 (b) 952.72 - 73.4201

Carry out the following operations and express the answers with the appropriate number of significant numbers. (c) (3.29×10⁴)(0.2501)

Carry out the following operations and express the answers in exponential notation with the appropriate number of significant figures.

a. 2.791×10⁴ + 8.76×10³

b. 4.67×10² − 5.4437×10⁴

c. (2.481×10⁻² + 7.33×10⁻⁴) × (1.924×10⁻² + 6.70)

d. (1.3×10⁻⁴ − 3.746×10⁻²)/(1.3×10² − 3.746×10⁴)

You have a graduated cylinder that contains a liquid (see photograph). Write the volume of the liquid, in milliliters, using the proper number of significant figures.

Determine the appropriate conversion factors for the following: c. mi to km

Determine the appropriate conversion factors for the following: d. ft³ to L