Three moles of an argon gas are at a temperature of 275 K. Calculate the root-mean-square (rms) speed of an atom in the gas.

One mole of oxygen gas is at a pressure of 6.00 atm and a temperature of $27.0 ^ { \circ } \mathrm { C }$. If the gas is heated at constant volume until the pressure triples, what is the final temperature?

One mole of oxygen gas is at a pressure of 6.00 atm and a temperature of $27.0 ^ { \circ } \mathrm { C }$. If the gas is heated so that both the pressure and volume are doubled, what is the final temperature?

Helium atoms have a mass of $4\, \mathrm{u}$ and oxygen molecules have a mass of $32\, \mathrm{u}$, where $\mathrm{u}$ is defined as an atomic mass unit. At what gas temperature would the average translational kinetic energy of a helium atom be equal to that of an oxygen molecule in a gas of temperature $300\, \mathrm{K}$?

Markings to indicate length are placed on a steel tape in a room that is at a temperature of $22 ^ { \circ } \mathrm { C }$. Measurements are then made with the same tape on a day when the temperature is $27^ { \circ } \mathrm { C }$. Are the measurements too long, too short, or accurate?

Markings to indicate length are placed on a steel tape in a room that has a temperature of $22^{\circ} \mathrm{C}$. Are measurements made with the tape on a day when the temperature is $27^{\circ} \mathrm{C}$ too long, too short, or accurate? Defend your answer.

Why do vapor bubbles in a pot of boiling water get larger as they approach the surface?

An air bubble has a volume of 1.50 cm$^3$ when it is released by a submarine 100 m below the surface of a lake. What is the volume of the bubble when it reaches the surface? Assume the temperature and the number of air molecules in the bubble remain constant during its ascent.

A 7.00-L vessel contains 3.50 moles of ideal gas at a pressure of $1.60 \times 10 ^ { 6 }$ Pa. What additional information would you need if you were asked to find the average speed of a gas molecule?

The temperature of an ideal monatomic gas is increased from $25^{\circ} \mathrm{C} \text { to } 50^{\circ} \mathrm{C}$. Does the average translational kinetic energy of each gas atom double? Explain. If your answer is no, what would the final temperature be if the average translational kinetic energy was doubled?

A sample of pure copper has a mass of 12.5 g. Calculate the number of moles in the sample.

Let x=-4 and y=2. Evaluate each expression. $|-3 x+4 y|$

Work each problem. Find a value of c so that $y=x^2-10x+c$ has exactly one x-intercept.

An automobile tire is inflated with air originally at $10.0 ^ { \circ } \mathrm { C }$ and normal atmospheric pressure. During the process, the air is compressed to 28.0% of its original volume and the temperature is increased to $40.0 ^ { \circ } \mathrm { C }$. What is the tire pressure in pascals?