A solution of $\mathrm{KClO}_{3}$ is prepared using 75 grams of the solute in enough water to make 0.250 liters of solution. The gram-formula mass of $\mathrm{KClO}_{3}$ is 122 grams per mole. Assuming the solution is saturated, determine the temperature of the solution.

Choose the term that best completes the second relationship. molarity : L of solution molality: ___ (1) $\mathrm{kg}$ of solvent (2) concentration (3) $L$ of solvent (4) mol of solute

Determine whether the given expression is a polynomial ll it is, write it in standard form. $2 x ^ { 2 } - \sqrt { 3 } x + 4$

A liquid is poured from a volumetric flask into a beaker. Which of the following is true? (1) It retains its original volume and shape. (2) It retains its original volume, but its shape changes. (3) It retains its original shape, but its volume changes. (4) Both the volume and shape change.

Write equivalent expression. $35x+30$

Which set of properties does a substance such as CO₂(g) have?

(1) definite shape and definite volume

(2) definite shape but no definite volume

(3) definite shape but definite volume

(4) no definite shape and no definite volume

When a teaspoon of sugar is added to water in a beaker, the sugar dissolves. The resulting mixture is (1) a compound, (2) a homogeneous solution, (3) a heterogeneous solution, (4) an emulsion.

If solutions of barium nitrate and sodium sulfate are mixed and then poured into a filter, the solid remaining on the filter will be (1) barium nitrate (2) sodium nitrate (3) barium sulfate (4) sodium sulfate

The vapor pressure of water is 50 kPa. The temperature of this sample of water is (1) $37^{\circ} \mathrm{C}$ (2) $62^{\circ} \mathrm{C}$ (3) $82^{\circ} \mathrm{C}$ (4) $92^{\circ} \mathrm{C}$

Use your book or dictionary to define ganglion.

Solve.

$$\begin{array} { l } { \text { a) } 3 x ^ { 2 } + 28 x + 9 = 0 } \\ { \text { b) } 4 k ^ { 2 } + 19 k + 15 = 0 } \\ { \text { c) } 8 y ^ { 2 } - 22 y + 15 = 0 } \\ { \text { d) } 16 b ^ { 2 } - 1 = 0 } \\ { \text { e) } 10 m ^ { 2 } + 30 m = 0 } \\ { \text { f) } 4 x ^ { 2 } - 12 x + 9 = 0 } \end{array}$$

If possible, compute the matrix products using paper and pencil.

$$\begin{bmatrix} 1 & 0 & -1\\0 & 1 & 1 \\ 1 & -1 & -2 \end{bmatrix} \begin{bmatrix} 1 & 2 & 3\\ 3 & 2 & 1\\ 2 & 1 & 3 \end{bmatrix}$$

Solve for x: $7^{x+1}=343$

A study of ground penetration near a toxic waste dump models the amount of pollution P at a depth x (in feet) and time t (in years) by the function

$$P(x, t)=P_{0}+P_{1} e^{-k x} \sin (A t-k x)$$

where A, k, $P_0$, and $P_{1}$ are constants. Show that P(x, t) satisfies the diffusion equation

$$\frac{\partial P}{\partial t}=c^{2} \frac{\partial^{2} P}{\partial x^{2}}$$

for a certain constant c.