A monatomic ideal gas expands at constant pressure. (a) What percentage of the heat being supplied to the gas is used to increase the internal energy of the gas? (b) What percentage is used for doing the work of expansion?

A monatomic ideal gas is in a fixed-volume flask. (a) By what factor must you increase the root-mean-square speed of the gas particles to double the gas pressure? (b) By what factor does the thermal energy of the gas change when you increase $v _ { \mathrm { rms } }$ by this factor?

Kordell drove his car 396 miles on 15 gal of gas. Gas costs $1.32 per gal. How much did Kordell pay for gas per mile driven?

Without consulting your textbook, list and explain the main postulates of the kinetic molecular theory for gases. How do these postulates help us account for the following bulk properties of a gas: the pressure of the gas and why the pressure of the gas increases with increased temperature; the fact that a gas fills its entire container; and the fact that the volume of a given sample of gas increases as its temperature is increased.

A thermos bottle fitted with a piston is filled with a gas. Since the thermos bottle is well insulated, no heat can enter or leave it. The piston is pushed in, compressing the gas. a) What happens to the pressure of the gas? Does it increase, decrease, or stay the same? b) What happens to the temperature of the gas? Does it increase, decrease, or stay the same? c) Do any other properties of the gas change?

Last week, several gas stations in a neighborhood all charged the same price for a gallon of gas. The table below show much gas prices have changed from last week to this week.

$$\begin{array}{| l | l |} \text{Gas Station} & \text{Change from last week (in cents)}\\\hline \text{Gas and Go} & \text{-6.6}\\ \text{Samson Gas} & \text{5.8}\\ \text{Star Gas} & \text{-6$\frac{3}{4}$}\\ \text{Corner Store} & \text{$\frac{27}{5}$}\\ \text{Tip Top Shop} & \text{$-5\frac{5}{8}$}\\ \end{array}$$

a. Order the numbers in the table from least to greatest. b. Which gas station has the cheapest gas this week? c. Critical Thinking Which gas station changed their price the least this week?

Describe how the following changes affect the positional probability of a substance. a. increase in volume of a gas at constant T, b. increase in temperature of a gas at constant V, c. increase in pressure of a gas at constant T.

One mole of an ideal gas doubles its volume in a reversible isothermal expansion. $(a)$ What is the change in entropy of the gas? $(b)$ If $1500 \mathrm{~J}$ of heat are added in this process, what is the temperature of the gas?

A gas collected in a flexible container at a pressure of $0.97 \mathrm{~atm}$ has a volume of $0.500 \mathrm{~L}$. The pressure is changed to $1.0 \mathrm{~atm}$. The amount of gas and the temperature of the gas do not change.

Which equation should you use to calculate the new volume of the gas?

We give 90 J as heat to a diatomic gas, which then expands at constant pressure. The gas molecules rotate but do not oscillate. By how much does the internal energy of the gas increase?

A container of gas has a movable piston, which you hold with your hand. You remove your hand and simultaneously place the container in a vacuum. Which of the following statements are correct? (More than one statement may be correct.) (a) The gas volume increases. (b) The internal energy of the gas does not change. (c) The temperature of the gas decreases. (d) The internal energy of the gas decreases.

The gas tank in Tony’s car holds 15 gallons, and the car can travel 25 miles for each gallon of gas. When Tony begins with a full tank of gas, the function

$$f ( x ) = - \frac { 1 } { 25 } x + 15$$

gives the amount of gas f(x) that will be left in the tank after traveling x miles (if he does not buy more gas). Graph this function and give its domain and range.

We give 70 J as heat to a diatomic gas, which then expands at constant pressure. The gas molecules rotate but do not oscillate. By how much does the internal energy of the gas increase?

During an isothermal compression of an ideal gas, $335 \mathrm{~J}$ of heat must be removed from the gas to maintain constant temperature. How much work is done by the gas during the process?