What is the Lewis structure of a carbonate ion, $\mathrm{CO}_3$ ? What is the charge on a carbonate ion?

Use the form of the definition of the integral given in Theorem 4 to evaluate the integral.

$\int_1^2 x^3 d x$

Find $\int_{2}^{5}f(x)\ dx$.

$\int_{2}^{4}2f(x)\ dx = 8$ and $\int_{5}^{4}f(x)\ dx = 1$

The graph of f is shown. Evaluate each integral by interpreting it in terms of areas.

$$\int_0^2 f(x) d x$$

The graph of f is shown. Evaluate each integral by interpreting it in terms of areas.

$$\int_0^5 f(x) d x$$

A table of values of an increasing function f is shown. Use the table to find lower and upper estimates for $\int_{10}^{30} f(x) d x$.

Evaluate the upper and lower sums for $f(x)=2+\sin x$, $0 \leqslant x \leqslant \pi$, with n = 2, 4, and 8. Illustrate with diagrams like the indicated figure.

Which is NOT a good source of information about the hazards that affect waste disposal in a chemistry lab? Select one:

(a) The chemical Safety Data Sheets

(b) Your instructor’s directions

(c) Your lab partner

(d) The chemical bottle labels

Which statements are true concerning a substance with a high specific heat? Select one or more:

a. An example substance is water.

b. The substance cools down slowly after heating.

c. The substance easily gets hot when heat is applied.

d. An example substance is aluminum metal.

An unsafe procedure for heating a nutrient solution in a flask would be to

(1) heat the solution at the lowest temperature on a hot plate

(2) stopper the flask tightly to prevent evaporation of the solution

(3) use a Bunsen burner to heat the solution

(4) stir the solution while it is heating

Which procedure cannot be performed on a hot plate?

Determine where to dispose of each type of waste:

(a) broken flask

(b) syringe tips

(c) unused solid reagent

(d) titrant solution

Choose from the following:

• Box lined with a puncture-resistant bag
• Solid waste container
• Sharps container
• Nalgene bottle with cap

Suppose you heat a metal object with a mass of 33.7 g to 95.1 $\degree$C and transfer it to a calorimeter containing 100.0 g of water at 18.7 $\degree$C. The water and metal reach a final temperature of 23.4 $\degree$C.

What is the specific heat of the metal in J/g$\degree$C?

Using the following equation for the combustion of octane, calculate the number of moles of carbon dioxide formed from $\ce{100.00g}$ of octane. The molar mass of octane is $\ce{114.33g/mol}$. The molar mass of carbon dioxide is $\ce{44.0095 g/mol}$.

$$\ce{2C8H18 +25O2 \longrightarrow 16CO2 + 18 H2O}\ ΔH_\ce{rxn}=-11018\ \mathrm{kJ}$$