(a) Find all equilibrium solutions for the equation

$$\frac{d y}{d x}=0.5 y(y-4)(2+y)$$

(b) With a calculator or computer, draw a slope field for this differential equation. Use it to determine whether each equilibrium solution is stable or unstable.

Classify substance Cytosine, a component of DNA, consists of H, C, N, and O atoms bonded in a specific arrangement, as an element, compound, or mixture, and explain your answer.

The 2', 3'-cyclic phosphodiester that is formed when RNA is hydrolyzed reacts with water, forming a mixture of nucleotide 2' - and 3'-phosphates. Propose a mechanism for this reaction.

Classify substance Calcium chloride, used to melt ice on roads, consists of two elements, calcium and chlorine, in a fixed mass ratio as an element, compound, or mixture, and explain your answer.

Use these words that end in the suffix -ure to answer the following questions.

mixture pleasure signature fracture

Which word can mean the result of bursting? ________________________

If you dilute a can of orange juice that is $75 \mathrm{~mL}$ with enough water to make a total volume of $300 \mathrm{~mL}$, what is the percentage of juice in the mixture?

Fifty gallons of a $90 \%$ alcohol solution is obtained by mixing a $100 \%$ solution with a $75 \%$ solution. How many gallons of each solution must be used to obtain the desired mixture?

When air is inhaled, it enters the alveoli of the lungs, and varying amounts of the component gases exchange with dissolved gases in the blood. The resulting alveolar gas mixture is quite different from the atmospheric mixture. The following table presents selected data on the composition and partial pressure of four gases in the atmosphere and in the alveoli:

$$\begin{array}{|c|c|c|c|c|} \hline \text { Gas } & \text { Mole \% } & \begin{array}{l} \text { Partial } \\ \text { Pressure (torr) } \end{array} & \text { Mole \% } & \begin{array}{l} \text { Partial } \\ \text { Pressure (torr) } \end{array} \\ \hline \mathrm{N}_2 & 78.6 & - & - & 569 \\ \hline \mathrm{O}_2 & 20.9 & - & - & 104 \\ \hline \mathrm{CO}_2 & 00.04 & - & - & 40 \\ \hline \mathrm{H}_2 \mathrm{O} & 00.46 & - & - & 47 \\ \hline \end{array}$$

If the total pressure of each gas mixture is $1.00 \mathrm{~atm}$, calculate:

(a) The partial pressure (in torr) of each gas in the atmosphere

(b) The mole % of each gas in the alveoli

(c) The number of $\mathrm{O}_2$ molecules in $0.50 \mathrm{~L}$ of alveolar air (volume of an average breath of a person at rest) at $37^{\circ} \mathrm{C}$

Draw a reaction coordinate diagram for the following reaction in which C is the most stable and B the least stable of the three species and the transition state going from A to B is more stable than the transition state going from B to C:

$$\mathrm{A} \stackrel{k_1}{\underset{k_{-1}}{\rightleftharpoons}} \mathrm{B} \underset{k_{-2}}{\stackrel{k_2}{\rightleftharpoons}} \mathrm{C}$$

a. How many intermediates are there?

b. How many transition states are there?

c. Which step has the greater rate constant in the forward direction?

d. Which step has the greater rate constant in the reverse direction?

e. Of the four steps, which has the greatest rate constant?

f. Which is the rate-determining step in the forward direction?

g. Which is the rate-determining step in the reverse direction?

A gas mixture contains $1.5 \times 10^{-5}$ mole $\mathrm{CO}$ and has a total of 1 mole. What is the $\mathrm{CO}$ concentration in ppm$_{\mathrm{v}}$?

Use these words that end in the suffix -ure to answer the following questions.

mixture pleasure signature fracture

Which word can mean the result of being pleased? ________________________

The cycle in the given figure represents the operation of a gasoline internal combustion engine. Assume the gasoline air intake mixture is an ideal gas with y=1.30. What are the ratios of What is the engine efficiency?

A chromatographic procedure separates 4.0 mg of unknown mixture on a column with a length of 40 cm and a diameter of 0.85 cm.

(a) What size column would you use to separate 100 mg of the same mixture?

(b) If the flow is 0.22 mL/min on the small column, what volume flow rate should be used on the large column?

(c) The mobile phase occupies 35% of the column volume. Calculate the linear velocity for the small column and the large column

Consider the ketones menthone and isomenthone. Propose an explanation for the observation that menthone is converted to a mixture of menthone and isomenthone on treatment with 90% sulfuric acid.