Apply collision theory to explain why foods usually spoil more slowly when refrigerated than at room temperature.

A vertical plate 2.5 m high, maintained at a uniform temperature of $54^{\circ} \mathrm{C}$, is exposed to saturated steam at atmospheric pressure. (a) Estimate the condensation and heat transfer rates per unit width of the plate. (b) If the plate height were halved, would the flow regime stay the same or change? (c) For $54 \leq T_{s} \leq 90^{\circ} \mathrm{C}$, plot the condensation rate as a function of plate temperature for the two plate heights of parts (a) and (b).

Two hyperbolas that have the same set of asymptotes are called conjugate. Show that the hyperbolas $\frac{x^{2}}{4}-y^{2}=1 \quad$ and $\quad y^{2}-\frac{x^{2}}{4}=1$ are conjugate. Graph each hyperbola on the same set of coordinate axes.

What role does the reactivity of the reactants play in determining the rate of a chemical reaction?

Let f(x) = 3x and g(x) = 4x. Find the function and give its domain. f/g

Apply collision theory to explain why increasing the concentration of a reactant usually increases the reaction rate.

The parametric equations of four plane curves are given, Graph each plane curve and determine how they differ from each other.

$$x = 2 \cos t , y = 2 \sin t ; 0 \leq t < 2 \pi$$

Explain why changes in the concentrations of the reactants and products at equilibrium have no effect on the value of the equilibrium constant.

Distinguish between an intermediate and an activated complex.

Which of the following data sets does not have a mean of 12? (A) 12, 11, 13, (B) 8, 16, 10, 14, (C) 12, 12, 12, 8, (D) 7, 12, 17

In the gas-phase reaction, $\mathrm{I}_{2}+\mathrm{Cl}_{2} \rightarrow 2 \mathrm{ICl},\left[\mathrm{I}_{2}\right]$ changes from 0.400M at 0.00 min to 0.300M at 4.00 min. Calculate the average reaction rate in moles of I 2 consumed per liter per minute.

Find the real solutions, if any, of the equation $2 x^{2}+x-1=0$

Rewrite the equations in the form

$$(x - p)^2 = q$$

$$0 = x ^ { 2 } - \frac { 3 } { 2 } x - \frac { 70 } { 8 }$$

ΔXYZ is a 45°-45°-90° triangle with right angle Z. Find the coordinates of X in Quadrant I for Y (-1, 2) and Z (6, 2).