The equilibrium constant $\left(K_{\mathrm{c}}\right)$ for the reaction

$$2 \mathrm{HCl}(g) \rightleftharpoons \mathrm{H}_2(g)+\mathrm{Cl}_2(g)$$

is $4.17 \times 10^{-34}$ at $25^{\circ} \mathrm{C}$. What is the equilibrium constant for the reaction

$$\mathrm{H}_2(g)+\mathrm{Cl}_2(g) \rightleftharpoons 2 \mathrm{HCl}(g)$$

at the same temperature?

The kinetic molecular theory of gases suggests that gas particles exert____ attractive or repulsive forces on each other.

A city's population in the year $1960$ was $287,500$. In $1989$ the population was $275,900$ . Compute the rate of growth of the population and make a statement about the population rate of change in people per year.

State a meaning of each word element, and give a medical term that uses it or a slight variation of it.
ligat-

What are the systematic names for the following ions and compounds:
$\left[\mathrm{Co}\left(\mathrm{NH}_3\right)_6\right] \mathrm{Cl}_3$ ?

A firefighter who weighs 712 N slides down a vertical pole with an acceleration of $3.00 \mathrm{~m} / \mathrm{s}^2$, directed downward. What is the magnitude of the vertical force on the firefighter from the pole ?

Determine the value of each exponential expression.

$$(0.1)^3$$

What is natural convection? How does it differ from forced convection? What force causes natural convection currents?

Using matrices

$$O=\left[\begin{array}{ll} 0 & 0 \\ 0 & 0 \end{array}\right], P=\left[\begin{array}{ll} m & n \\ p & q \end{array}\right], T=\left[\begin{array}{ll} r & s \\ t & u \end{array}\right], \text { and } X=\left[\begin{array}{cc} x & y \\ z & w \end{array}\right],$$

verify that the statement in the following exercise is true.

Which of the preceding properties are valid for matrices that are not square?

A karate expert breaks a pine board, $2.2$ cm thick, with a hand chop. Strobe photography shows that the hand, whose mass may be taken as $540$ g, strikes the top of the board with a speed of $9.5$ m/s and comes to rest $2.8$ cm below this level. $(a)$ What is the time duration of the chop (assuming a con- stant force)? $(b)$ What average force is applied?

Write the partial fraction decomposition of each rational expression.

$$\dfrac{2 x^2-18 x-12}{x^3-4 x}$$

Use Lagrange multipliers to find the indicated extrema, assuming that $x, y$, and $z$ are positive.
Maximize $f(x, y, z)=x y z$ Constraint: $x+y+z-6=0$

What carbon atom, by number, is involved in the

a. sugar-base bond in a nucleotide

b. sugar-phosphate bond in a nucleotide

Carry out the following conversions:

(a) $22.6 \mathrm{~m}$ to decimeters

(b) $25.4 \mathrm{mg}$ to kilograms

(c) $556 \mathrm{~mL}$ to liters

(d) $10.6 \mathrm{~kg} / \mathrm{m}^3$ to $\mathrm{g} / \mathrm{cm}^3$