Chapter 20: Problem 2
List two major industrial uses of hydrogen.
Chapter 20: Problem 2
List two major industrial uses of hydrogen.
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Get started for freeOne pathway for the destruction of ozone in the upper atmosphere is $$\begin{array}{l}\mathrm{O}_{3}(g)+\mathrm{NO}(g) \longrightarrow \mathrm{NO}_{2}(g)+\mathrm{O}_{2}(g) \quad \text { Slow } \\\\\mathrm{NO}_{2}(g)+\mathrm{O}(g) \longrightarrow \mathrm{NO}(g)+\mathrm{O}_{2}(g) \quad \text { Fast } \\ \text { Overall reaction: } \mathrm{O}_{3}(g)+\mathrm{O}(g) \rightarrow 2 \mathrm{O}_{2}(g)\end{array}$$ a. Which species is a catalyst? b. Which species is an intermediate? c. The activation energy \(E_{\mathrm{a}}\) for the uncatalyzed reaction $$\mathrm{O}_{3}(g)+\mathrm{O}(g) \longrightarrow 2 \mathrm{O}_{2}(g)$$ is \(14.0 \mathrm{~kJ} . E_{\mathrm{a}}\) for the same reaction when catalyzed by the presence of \(\mathrm{NO}\) is \(11.9 \mathrm{~kJ} .\) What is the ratio of the rate constant for the catalyzed reaction to that for the uncatalyzed reaction at \(25^{\circ} \mathrm{C}\) ? Assume that the frequency factor \(A\) is the same for each reaction. d. One of the concerns about the use of Freons is that they will migrate to the upper atmosphere, where chlorine atoms can be generated by the reaction $$\mathrm{CCl}_{2} \mathrm{~F}_{2} \stackrel{\mathrm{hr}}{\longrightarrow} \mathrm{CF}_{2} \mathrm{Cl}+\mathrm{Cl}$$ Freon- 12 Chlorine atoms also can act as a catalyst for the destruction of ozone. The first step of a proposed mechanism for chlorinecatalyzed ozone destruction is $$\mathrm{Cl}(g)+\mathrm{O}_{3}(g) \longrightarrow \mathrm{ClO}(g)+\mathrm{O}_{2}(g)$$ Slow Assuming a two-step mechanism, propose the second step in the mechanism and give the overall balanced equation. e. The activation energy for Cl-catalyzed destruction of ozone is \(2.1 \mathrm{~kJ} / \mathrm{mol}\). Estimate the efficiency with which \(\mathrm{Cl}\) atoms destroy ozone as compared with NO molecules at \(25^{\circ} \mathrm{C}\). Assume that the frequency factor \(A\) is the same for each catalyzed reaction and assume similar rate laws for each catalyzed reaction.
How can the paramagnetism of \(\mathrm{O}_{2}\) be explained using the molecular orbital model?
Compare the Lewis structures with the molecular orbital view of the bonding in \(\mathrm{NO}, \mathrm{NO}^{+}\), and \(\mathrm{NO}^{-}\). Account for any discrepancies between the two models.
Using data from Appendix 4, calculate \(\Delta H^{\circ}, \Delta G^{\circ}\), and \(K_{\mathrm{p}}\) (at \(298 \mathrm{~K}\) ) for the production of ozone from oxygen: $$3 \mathrm{O}_{2}(g) \rightleftharpoons 2 \mathrm{O}_{3}(g)$$ At \(30 \mathrm{~km}\) above the surface of the earth, the temperature is about \(230 . \mathrm{K}\), and the partial pressure of oxygen is about \(1.0 \times 10^{-3}\) atm. Estimate the partial pressure of ozone in equilibrium with oxygen at \(30 \mathrm{~km}\) above the earth's surface. Is it reasonable to assume that the equilibrium between oxygen and ozone is maintained under these conditions? Explain.
The heaviest member of the alkaline earth metals is radium (Ra), a naturally radioactive element discovered by Pierre and Marie Curie in \(1898 .\) Radium was initially isolated from the uranium ore pitchblende, in which it is present as approximately \(1.0 \mathrm{~g}\) per \(7.0\) metric tons of pitchblende. How many atoms of radium can be isolated from \(1.75 \times 10^{8} \mathrm{~g}\) pitchblende \((1\) metric ton \(=\) \(1000 \mathrm{~kg}) ?\) One of the early uses of radium was as an additive to paint so that watch dials coated with this paint would glow in the dark. The longest-lived isotope of radium has a half-life of \(1.60 \times 10^{3}\) years. If an antique watch, manufactured in 1925, contains \(15.0 \mathrm{mg}\) radium, how many atoms of radium will remain in \(2025 ?\)
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