A container of volume $0.40 \mathrm{~m}^3$ contains $3.0 \mathrm{~mol}$ of argon gas at $30^{\circ} \mathrm{C}$. Assuming argon behaves as an ideal gas, find the total internal energy of the gas.

Calculate the equilibrium constant $K$ for the following reaction at $25^{\circ} \mathrm{C}$ from standard electrode potentials.

$$\mathrm{Sn}^{4+}(a q)+2 \mathrm{Hg}(l) \longrightarrow \mathrm{Sn}^{2+}(a q)+\mathrm{Hg}_{2^{2+}}(a q)$$

The equation is not balanced.

Write the notation for a cell in which the electrode reactions are

$$\begin{aligned} &2 \mathrm{H}^{+}(a q)+2 \mathrm{e}^{-} \longrightarrow \mathrm{H}_2(g) \\ &\mathrm{Zn}(s) \longrightarrow \mathrm{Zn}^{2+}(a q)+2 \mathrm{e}^{-} \end{aligned}$$

If the temperature of the heated electrode is increased, more electrons are emitted. What change does this produce in the graph as we discussed earlier?
A. The peaks get taller.
B. The peaks get shorter.
C. The peaks occur at higher voltages.
D. The peaks occur at lower voltages.

In 2019, the Mudcat Gas Company purchased a small natural gas company with two assets— land and natural gas reserves—for $158,000,000. The fair value of the land was$1,500,000 and the fair value of the natural gas reserves was $155,250,000. At that time, estimated recoverable gas was 105,000,000 cubic feet.

Required:

If Mudcat recovers and sells 2,500,000 cubic feet in a year, compute the depletion. Round your answer to the nearest dollar.

An insulated vessel contains $1.5$ moles of argon at $2 \mathrm{~atm}$. The gas initially occupies a volume of $5 \mathrm{~L}$. As a result of the adiabatic expansion the pressure of the gas is reduced to $1 \mathrm{~atm}$. $(a)$ Find the volume and temperature of the final state. $(b)$ Find the temperature of the gas in the initial state. $(c)$ Find the work done by the gas in the process. $(d)$ Find the change in the internal energy of the gas in the process.

Suppose you are asked to verify experimentally the electrode reactions shown in above Example. In addition to the apparatus and the solution you are also given two pieces of litmus paper, one blue and the other red. Describe what steps you would take in this experiment.

How well does argon gas al 400 K and 3 atm approximate a perfect gas? Assess the approximation by reporting the difference between the molar volumes as a percentage of the perfect gas molar volume.

An ideal gas is expanded slowly and isothermally. Does its entropy increase, decrease, or stay the same? Choose the best explanation from among the following: I. Heat must be added to the gas to maintain a constant temperature, and this increases the entropy of the gas. II. The temperature of the gas remains constant, which means its entropy also remains constant. III. As the gas is expanded its temperature and entropy will decrease.

Calculate the voltage and identify the anode for a cell in which the following electrode reactions take place: $\operatorname{Ag}(s)+\mathrm{Cl}^{-}(a q) \rightarrow \operatorname{AgCl}(s)+e^{-} \\ \ \mathrm{Cl}_{2}(g)+2 e^{-} \rightarrow 2 \mathrm{Cl}^{-}(a q)$

Draw an electrolytic cell in which $Mn^{2+}$ is reduced to Mn and Sn is oxidized to $Sn^{2+}$. Label the anode and cathode, indicate the direction of electron flow, and write an equati on for the halfreaction occurring at each electrode. What minimum voltage is necessary to drive the reaction?

Helium gas expands slowly to twice its original volume, doing $300 \mathrm{~J}$ of work in the process. Find the heat added to the gas and the change in the internal energy of the gas if the process is
(a) isothermal and
(b) adiabatic.

A gas does a certain amount of work as it expands by a volume $\Delta$V at a pressure P. If the pressure of the gas is increased, but the volume change remains the same, does the work done by the gas increase, decrease, or stay the same? Explain.

A sealed box contains a monatomic ideal gas. The number of gas atoms per unit volume is $5.00 \times 10^{20} \text { atoms } / \mathrm{cm}^{3}$, and the average translational kinetic energy of each atom is $1.80 \times 10^{-23} J$. (a) What is the gas pressure? (b) If the gas is neon (molar mass 20.18 g/mol), what is $\mathrm{V}_{\mathrm{rms}}$ for the gas atoms?