Consider two neighbouring lakes in an isolated region of Ontario. One lake is on limestone (calcium carbonate) while the other is lined with granite. Both receive the same amount of acid precipitation, (a) Explain why the limestone lake has a higher pH than the granite lake. (b) Which lake is likely to have a healthier aquatic ecosystem? Explain your answer.

(a) Calcium oxide, CaO, reacts with water to form calcium hydroxide. Write the chemical equation for this reaction. (b) Why is calcium oxide capable of neutralizing acids despite not having the hydroxide ion in its chemical formula? (c) Explain why adding calcium oxide (sometimes called “lime”) to lakes polluted with acid precipitation solves the problem only tor the short term. (d) Suggest a permanent solution to the problem.

The hard parts of coral and shellfish are mostly made up of calcium carbonate. Evidence suggests that air pollution is causing the oceans to become slightly acidic. (a) What kind of chemical reaction occurs when acids are in contact with calcium carbonate? (b) Write the chemical equation for the reaction of sulfuric acid with calcium carbonate. (c) What effect would this reaction have on coral ecosystems? Explain.

Briefly outline at least three damaging effects that acid precipitation may have on the environment.

(a) What two groups of compounds are largely responsible for causing acid precipitation? (b) Write a chemical equation(s) to illustrate how one of these compounds reacts to produce acid precipitation.

The Hinge Theorem is also known as the Side-Angle-Side Inequality Theorem or SAS Inequality Theorem. How are the requirements for applying the Hinge Theorem similar to the requirements for applying SAS? How are the requirements different?

Use the definition of the derivative to find f'(x). $f(x)=\frac{1}{x-2}$

Determine all critical points of the function. f(x) = 6x^2 - x^3

Write the chemical formula for each substance mentioned in the fo llowing word descr iptions (use the front inside cover to find the symbols for the elements you do not know). Vanadium(III) bromide is a colored solid.

Explain why acid precipitation is a source of international conflict and why international cooperation is necessary to resolve the problem.

Some skin creams claim that they are “pH balanced" and yet do not have a pH of 7. What do the manufacturers mean when they say “pH balanced"?

What is the prediction for acid precipitation over the next decade?

Use vector-matrix methods to find the general solution of the linear system where

$$\mathbf{x}=\left( \begin{array}{l}{x_{1}} \\ {x_{2}} \\ {x_{3}}\end{array}\right)$$

.

$$\mathbf{x}^{\prime}=\left( \begin{array}{rrr}{3} & {0} & {1} \\ {-1} & {4} & {1} \\ {4} & {-4} & {2}\end{array}\right) \mathbf{x}$$

Decide what number must be added to make each expression a perfect square trinomial. Then factor the trinomial. $x^{2}+\frac{1}{4} x+$