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Question 40

Given below are two statements:
Statement I : Chlorofluoro carbons breakdown by radiation in the visible energy region and release chlorine gas in the atmosphere which then reacts with stratospheric ozone.
Statement II : Atmospheric ozone reacts with nitric oxide to give nitrogen and oxygen gases, which add to the atmosphere.
For the above statements choose the correct answer from the options given below:

We first examine Statement I. Chlorofluorocarbons (CFCs) present in the stratosphere break down only when they absorb photons whose energy is high enough to cleave the $$\mathrm{C\!-\!Cl}$$ bond. The bond dissociation energy of a typical $$\mathrm{C\!-\!Cl}$$ bond is about $$328\;\text{kJ mol}^{-1}$$. The wavelength $$\lambda$$ corresponding to this energy is obtained from the relation $$E=\dfrac{hc}{\lambda}$$, where $$h$$ is Planck’s constant and $$c$$ is the speed of light. Substituting $$E=328\times10^{3}\ \text{J mol}^{-1}$$ and using $$h=6.626\times10^{-34}\ \text{J s},\;c=3.0\times10^{8}\ \text{m s}^{-1},\;N_A=6.022\times10^{23}\ \text{mol}^{-1}$$, we obtain

$$\lambda=\dfrac{hcN_A}{E}=\dfrac{(6.626\times10^{-34})(3.0\times10^{8})(6.022\times10^{23})}{328\times10^{3}}$$ $$\lambda\approx2.2\times10^{-7}\ \text{m}=220\ \text{nm}$$

This wavelength lies in the ultraviolet region, not in the visible region (visible light spans roughly $$400\;\text{nm}$$ to $$700\;\text{nm}$$). Hence CFCs are photodissociated by UV radiation, not by visible light. Furthermore, the primary product is a chlorine radical $$\mathrm{Cl\cdot}$$, not the molecular gas $$\mathrm{Cl_2}$$. Therefore Statement I is false.

Now we analyse Statement II. Stratospheric ozone does interact with nitric oxide, but the reaction is

$$\mathrm{O_3 + NO \;\longrightarrow\; NO_2 + O_2}$$

No molecular nitrogen $$\mathrm{N_2}$$ is generated; instead nitric oxide is converted to nitrogen dioxide, and only one molecule of oxygen gas is produced. Thus the claim that the reaction produces “nitrogen and oxygen gases” is incorrect. Consequently Statement II is also false.

Since both statements have been shown to be incorrect, we select the option that says both statements are false. Looking at the given list, Option B corresponds to this description.

Hence, the correct answer is Option B.

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