How many grams of solid iron (III) chloride ($\mathrm{FeCl_{3}}$) are produced when 2.00 moles of solid iron (Fe) are combined with chlorine gas $\left(\mathrm{Cl}_{2}\right)$?

1. Analyze the Problem Known: __________ Unknown: __________ You are given the moles of the reactant, Fe, and must determine the mass of the product, $\mathrm{FeCl_{3}}$, therefore, you will do a mole to mass conversion.
2. Solve for the Unknown Write the balanced chemical equation. Identify the known and unknown substances.

$$\mathrm{Fe}(\mathrm{s})+\square \mathrm{Cl}_{2}(\mathrm{g})=\square \mathrm{FeCl}_{3}(\mathrm{s})$$

List the mole ratios for this equation. Multiply the number of moles of Fe by the mole ratio.

$$\square \text{mol Fe} \times \frac{\square \mathrm{mol} \ \mathrm{FeCl_{3}}}{\square\mathrm{mol \ Fe}} = \square \mathrm{mol \ FeCl_{2}}$$

Multiply the moles of $\mathrm{FeCl}_{3}$ by the molar mass of $\mathrm{FeCl}_{3}$.

$$\operatorname{mol} \mathrm{FeCl}_{3} \times \frac{\mathrm{g} \mathrm{FeCl}_{3}}{1 \mathrm{mol} \mathrm{FeCl}_{3}}=\square \mathrm{gFeCl}_{3}$$

3. Evaluate the Answer The given number of moles has $\square$ digits, so the mass of $\mathrm{FeCl}_{3}$ must have $\square$ digits.

How do animals adapt to the tropical rainforest biome?

List 4 common aseptic techniques.

Write the common name for O$_3$.

Which of the following substances can be liquefied by applying pressure at $25^{\circ} \mathrm{C}$ ? For those that cannot, describe the conditions under which they can be liquefied.

$$\begin{array}{lcl}\text { Substance } & \begin{array}{l}\text { Critical } \\ \text { Temperature }\end{array} & \begin{array}{l}\text { Critical } \\ \text { Pressure }\end{array} \\ \text { Sulfur dioxide, } \mathrm{SO}_2 & 158^{\circ} \mathrm{C} & 78 \mathrm{~atm} \\ \text { Acetylene, } \mathrm{C}_2 \mathrm{H}_2 & 36^{\circ} \mathrm{C} & 62 \mathrm{~atm} \\ \text { Methane, } \mathrm{CH}_4 & -82^{\circ} \mathrm{C} & 46 \mathrm{~atm} \\ \text { Carbon monoxide, } \mathrm{CO} & -140^{\circ} \mathrm{C} & 35 \mathrm{~atm}\end{array}$$

Production Line Speed and Quality Control. Brawdy Plastics, Inc., produces plastic seat belt retainers for General Motors at their plant in Buffalo, New York. After final assembly and painting, the parts are placed on a conveyor belt that moves the parts past a final inspection station. How fast the parts move past the final inspection station depends upon the line speed of the conveyor belt (feet per minute). Although faster line speeds are desirable, management is concerned that increasing the line speed too much may not provide enough time for inspectors to identify which parts are actually defective. To test this theory, Brawdy Plastics conducted an experiment in which the same batch of parts, with a known number of defective parts, was inspected using a variety of line speeds. The following data were collected.

Number of

$$\begin{array}{cc}\text { Line } & \text { Defective } \\ \text { Speed } & \begin{array}{c}\text { Dumber of } \\ \text { Parts Found }\end{array} \\ 20 & 23 \\ 20 & 21 \\ 30 & 19 \\ 30 & 16 \\ 40 & 15 \\ 40 & 17 \\ 50 & 14 \\ 50 & 11\end{array}$$

c. Use the least squares method to develop the estimated regression equation.

Describe the climate in the deciduous forest biome.

Which of the following best describes the meaning of molar mass?

• a) the mass of one mole of electrons
• b) the mass of one mole of water
• c) the mass of one mole of a substance
• d) the volume that a mole of a given mass occupies
• e) the mass of one of your back teeth

Which forest biome has the richest soil type?

Mutually exclusive means that two sets of numbers have no numbers in common. Name two subsets of real numbers that are mutually exclusive. Explain.

For the following exercises, consider this scenario: For each year $t$, the population of a forest of trees is represented by the function $A(t)=115(1.025)^t$. In a neighboring forest, the population of the same type of tree is Which forest had a greater number of trees initially? By how many?

For each of the following sentences, choose the correct word or words in parentheses. Base your answers on the rules of standard, formal usage.

Do you remember borrowing a dollar (off, off of, from) me?

Vintage Motors, Inc., was formed on January 1, 2018. The following transactions occurred during 2018: On January 1, 2018, Vintage issued its common stock for $430,000. Early in January, Vintage made the following cash payments: a.$160,000 for equipment
b. $234,000 for inventory (six cars at$39,000 each)
c. $18,000 for 2018 rent on a store building

In February, Vintage purchased four cars for inventory on account. The cost of this inventory was$192,000 ($48,000 per car). Before year-end, the company paid off$153,600 of this debt. The company uses the first-in, first-out (FIFO) method to account for its inventory.

During 2018, Vintage sold seven autos for a total of $504,000. Before year-end, it had collected 90% of this amount. The business employs two people. The combined annual payroll is$60,000, of which Vintage owes $11,000 at year-end. At the end of the year, the company paid income taxes of$22,000.

Late in 2018, Vintage declared and paid cash dividends of $13,000. For equipment, Vintage uses the straight-line depreciation method, over five years, with zero residual value.

Requirements 3. Prepare Vintage’s statement of cash flows for the year ended December 31, 2018. Format cash flows from operating activities using the indirect method.

Give an answer for the follwoing exercise.

(a) Trouton's rule states that the ratio of the molar heat of vaporization of a liquid $\left(\Delta H_{\text {vap }}\right)$ to its boiling point in kelvins is approximately $90 \mathrm{~J} / \mathrm{K} \cdot \mathrm{mol}$. Use the following data to show that this is the case and explain why Trouton's rule holds true.

$$\begin{array}{lcc} & \boldsymbol{T}_{\mathbf{b p}}\left({ }^{\circ} \mathbf{C}\right) & \boldsymbol{\Delta} \boldsymbol{H}_{\text {vap }}(\mathbf{k} \mathbf{J} / \mathbf{m o l}) \\ \hline \text { Benzene } & 80.1 & 31.0 \\ \text { Hexane } & 68.7 & 30.8 \\ \text { Mercury } & 357 & 59.0 \\ \text { Toluene } & 110.6 & 35.2 \end{array}$$

(b) Use the values in the table to calculate the same ratio for ethanol and water. Explain why Trouton's rule does not apply to these two substances as well as it does to other liquids.

$$\begin{array}{ccc} \text { Substance } & \text { Boiling point }\left({ }^{\circ} \mathrm{C}\right) & \Delta H_{\text {vap }}(\mathrm{kJ} / \mathrm{mol}) \\ \text { Argon }(\mathrm{Ar}) & -186 & 6.3 \\ \text { Benzene }\left(\mathrm{C}_6 \mathrm{H}_6\right) & 80.1 & 31.0 \\ \text { Ethanol }\left(\mathrm{C}_2 \mathrm{H}_5 \mathrm{OH}\right) & 78.3 & 39.3 \\ \text { Diethyl ether }\left(\mathrm{C}_2 \mathrm{H}_5 \mathrm{OC}_2 \mathrm{H}_5\right) & 34.6 & 26.0 \\ \text { Mercury }\left(\mathrm{Hg}^2\right) & 357 & 59.0 \\ \text { Methane }\left(\mathrm{CH}_4\right) & -164 & 9.2 \\ \text { Water }\left(\mathrm{H}_2 \mathrm{O}\right) & 100 & 40.79 \end{array}$$

Explain why the ratio is considerably smaller than $90 \mathrm{~J} / \mathrm{K} \cdot \mathrm{mol}$ for liquid $\mathrm{HF}$.