For $\left[\mathrm{OH}^{-}\right]=9.87 \times 10^{-9} \mathrm{M}$, calculate the $\mathrm{pOH}$ of the solution as well as the concentration of hydrogen ion in the solution. Indicate whether the solution is acidic or basic.

A In a particular solution, acetic acid is $11 \%$ ionized at $25^{\circ} \mathrm{C}$. Calculate the $\mathrm{pH}$ of the solution and the mass of acetic acid dissolved to yield $1.00$$$\mathrm{~L}$) of solution.

How do unsaturated, saturated, and trans fats affect LDL and HDL levels?

(S)-Lactic acid has a specific rotation of +3.8. (a) If the ee of a solution of lactic acid is 60%, what is

$$[ \alpha ]$$

for this solution? (b) How much of the dextrorotatory and levorotatory isomers does the solution contain?

A 325-mL sample of solution contains 25.3 g of $\mathrm{CaCl_2}$. (a) Calculate the molar concentration of $\mathrm{Cl^-}$ in this solution. (b) How many grams of $\mathrm{Cl^-}$ are in 0.100 L of this solution?

Show the types of solvation interactions that might be expected in each solution. Consider the solvation of both the cation and the anion. (a) a solution of the salt ammonium chloride in ethanol (b) a solution of the salt sodium chloride in N-methylpyrrolidone

In 2012, prescription drug spending is estimated to have accounted for $260.8 billion of national health spending, a decline of 0.8%, compared to 2.9% growth in 2011. This decline was due to increased adoption of generic drugs as a number of popular brand-name drugs lost patent protection, increases in cost-sharing requirements, and lower spending on new medicines. The table gives expenditures for prescription drugs, in billions of dollars, for the years 2006 and projected to 2022.

Join the two functions from parts (b) and (c) to create a piecewise function that models the data from 2006 to 2022.

An aqueous solution is made from $0.798 \mathrm{~g}$ of potassium permanganate, $\mathrm{KMnO}_4$. If the volume of solution is $50.0 \mathrm{~mL}$, what is the molarity of $\mathrm{KMnO}_4$ in the solution?

A pharmacist has 50 ml of a $6\%$ alcohol solution. If he needs to have a more concentrated solution, how much water should be evaporated so that the remaining solution is $10 \%$ alcohol?

Solution A is $50 \%$ acid and solution B is $80 \%$ acid. How much of each should be used to make $100$ milliliters of a solution that is $68 \%$ acid?

Copy the table below. Write labels for the table.

Suppose that in solving a TSP you find an approximate solution with a cost of $1614, and suppose that you later find out that the relative error of your solution was 7.6%. What was the cost of the optimal solution?

For the given differential equation, (a) Determine the complementary solution. (b) Use the method of undetermined coefficients to find a particular solution. (c) Form the general solution.

$$y^{\prime \prime}-4 y=\sin 2 t$$

What is the solution set of the inequality $2(2 x+4)<4(x+1)$ ? Why? How is the solution set related to the solution set of $2(2 x+4) \geq 4(x+1)$? Explain.

For $\left[\mathrm{OH}^{-}\right]=6.29 \times 10^{-12} \mathrm{M}$, calculate the $\mathrm{pOH}$ of the solution as well as the concentration of hydrogen ion in the solution. Indicate whether the solution is acidic or basic.