What is the density of lead in g/cm$^{3}$ if a rectangular bar measuring 0.50 cm in height, 1.55 cm in width, and 25.00 cm in length has a mass of 220.9 g?

In each of the following pairs, which has the greater mass? 75 mL of copper or 1.0 L of benzene

A column of liquid is found to expand linearly on heating. Assume the column rises 5.25 cm for a $10.0^{\circ} \mathrm{F}$ rise in temperature. If the initial temperature of the liquid is $98.6^{\circ} \mathrm{F},$ what will the final temperature be in $^{\circ} \mathrm{C}$ if the liquid has expanded by 18.5 cm?

Of the 90 or so naturally occurring elrnents, only four are liquid near room temperature mercury (malting point $=-38.87^{\circ} \mathrm{C}$, bromine (melsing point $=-7.2^{\circ} \mathrm{CC}$, cesium (meking point $=28.40^{\circ} \mathrm{C}$ ), and gallium (melting point $=29.78{ }^{\circ} \mathrm{C}$ ). Convert theer melting points to degrees Fahrenheit

Gaseous hydrogen has a density of 0.0899 g/L at 0 degree celcius, and gaseous chlorine has a density of 3.214 g/L at the same temperature. How many liters of each would you need if you wanted 1.0078 g of hydrogen and 35.45 g of chlorine?

Aspirin has a density of 1.40 g/cm$^{3}$.What is the volume in cubic centimeters of an aspirin tablet weighing 250 mg? Of a tablet weighing 500 lb?

In this Exercise,

(a) List algebraic operations on x that lead to the expression defining y.

(b) What restrictions, if any, does each operation place on the domain of the function? Give the function's domain.

$$y=\frac{1}{x-5}$$

What is the density of lead in g/cm$^{3}$ if a sample weighing 206.77 g has a volume of 15.50 cm$^{3}$?

What is the density of glass in g/cm$^{3}$ if a sample weighing 27.43 g has a volume of 12.40 cm$^{3}$?

A baseball with a mass of 450 g has a kinetic energy of 406 J. Calculate the velocity of the baseball in units of m/s.

Suppose you were dissatisfied with both Celsius and Fahrenheit units and wanted to design your own temperature scale based on ethyl alcohol (ethanol). On the Celsius scale, ethanol has a melting point of -117.3 $\degree$C and a boiling point of 78.5$\degree$C, but on your new scale calibrated in units of degrees ethanol, $\degree$E, you define ethanol to melt at 0$\degree$E and boil at 200$\degree$E.

(a) How does your ethanol degree compare in size with a Celsius degree?

(b) How does an ethanol degree compare in size with a Fahrenheit degree?

(c ) What are the melting and boiling points of water on the ethanol scale?

(d) What is normal human body temperature (98.6$\degree$F) on the ethanol scale?

(e) If the outside thermometer reads 130$\degree$E, how would you dress to go out?

Tungsten, the element used to make filaments in lightbulbs, has a melting point of 6192 degree F. Convert this temperature to degrees Celsius and to kelvin.

Suppose that your oven is calibrated in degrees Fahrenheit but a recipe calls for you to bake at 175 degree celcius. What oven setiing should you use?

Of the 90 or so naturally occurring elements, only four are liquid near room temperature: mercury (melting point =-38.87 degree celcius), bromine (melting point = -7.2 degree celcius), c e s i u m (melting point = 28.40 degree celcius), and gallium (melting point =29.78 degree celcius). Convert these melting points to degrees Fahrenheit.