At liftoff, the space shuttle uses a solid mixture of ammonium perchlorate and aluminum powder to obtain great thrust from the volume change of solid to gas. In the presence of a catalyst, the mixture forms solid aluminum oxide and aluminum trichloride and gaseous water, and nitrogen monoxide.
(a) Write a balanced equation for the reaction, and identify the reducing and oxidizing agents

A region that lies between the curves $y=\sec x$ and $y=\tan x$ from $x=0$ to $x=\pi / 2$ is revolved about the $x$-axis to generate a solid. Show that the inner and outer surfaces of the solid have infinite area.

Find the volume of each solid by the method of slicing. Find the volume of the solid whose base is a circle of radius 2, if slices made perpendicular to the base are isosceles right triangles with one leg on the base.

Give the balanced equation for each of the following chemical reactions. Solid iron(III) sulfide reacts with gaseous hydrogen chloride to form solid iron(III) chloride and hydrogen sulfide gas.

A solid metal cylinder with radius $6 \mathrm{~cm}$ and height $18 \mathrm{~cm}$ is melted down and recast as a solid cone with radius $9 \mathrm{~cm}$. Find the height of the cone.

Explain what energy terms are involved in the formation of an ionic solid from atoms. In what way should these terms change (become larger or smaller) to give the lowest energy possible for the solid?

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or "washer."

$y=\sec x, y=1, x=-1, x=1$; about the $x$-axis

As it cools, olive oil slowly solidifies and forms a solid over a range of temperatures. Which best describes the solid? (a) ionic (b) covalent network (c) metallic (d) amorphous (e) molecular crystals

Write the balanced molecular, complete ionic, and net ionic equations for each of the following: (a) Aqueous silver nitrate reacts with solid lead to form aqueous lead(II) nitrate and solid silver. (b) Solid calcium carbide $\left(\mathrm{CaC}_2\right)$ reacts with water to form gaseous acetylene $\left(\mathrm{C}_2 \mathrm{H}_2\right)$ and aqueous calcium hydroxide. (c) Aqueous barium hydroxide reacts with sulfuric acid to form solid barium sulfate and water.

Find the moment of inertia $I_z$ of the solid of indicated density.
The solid of uniform density inside the paraboloid $z=16-x^2-y^2$ and outside the cylinder $x^2+y^2=9, \quad z \geq 0$

The solid spheres $(x-1)^2+(y-2)^2+(z-1)^2 \leq 4$ and $(x-2)^2+(y-4)^2+(z-3)^2 \leq 4$ intersect in a solid. Find its volume.

Determine whether a precipitate will form if 1.70 g of solid

$$\mathrm { AgNO } _ { 3 }$$

and 14.5 g of solid NaCl are dissolved in 200. mL of water to form a solution at

$$25 ^ { \circ } \mathrm { C }$$

.

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer. y = x3, y = 1, x = 2; about y = -3

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer. x = 2 - y$^{2}$, x = y$^{4}$; about the y-axis