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SO2 is considered as an air pollutant be...

`SO_2` is considered as an air pollutant because

A

Its concentration increases with temperature increases of atmosphere.

B

It is used as an insecticide which is air pollutant

C

It reacts with `O_2 and H_2O` to produce acid rain

D

It is a strong oxidant and oxidant oxidizes other components of atmosphere

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem regarding the reaction of `SO2` and `O2` to form `SO3`, we will follow these steps: ### Step-by-Step Solution: 1. **Write the Balanced Chemical Equation**: The balanced equation for the reaction is: \[ 2 \text{SO}_2 + \text{O}_2 \rightarrow 2 \text{SO}_3 \] 2. **Identify Initial Volumes**: We are given: - Volume of `SO2` = 5 liters - Volume of `O2` = 3 liters 3. **Determine the Stoichiometric Ratios**: From the balanced equation, we see that: - 2 volumes of `SO2` react with 1 volume of `O2`. - Therefore, 5 liters of `SO2` would require: \[ \text{Required } O_2 = \frac{5 \text{ liters } SO_2}{2} = 2.5 \text{ liters } O_2 \] 4. **Identify the Limiting Reagent**: Since we have 3 liters of `O2` available and only 2.5 liters are needed for the reaction with 5 liters of `SO2`, `SO2` is the limiting reagent. 5. **Calculate Final Volumes**: - **For `SO2`**: It will be completely consumed, so the final volume of `SO2` = 0 liters. - **For `O2`**: The amount of `O2` that reacts is 2.5 liters, so the remaining volume of `O2` is: \[ 3 \text{ liters } O_2 - 2.5 \text{ liters } O_2 = 0.5 \text{ liters } O_2 \] - **For `SO3`**: According to the stoichiometry of the reaction, 2 liters of `SO2` produce 2 liters of `SO3`. Thus, 5 liters of `SO2` will produce: \[ 5 \text{ liters } SO_3 \] 6. **Calculate Total Final Volume**: The total final volume of the reaction mixture is the sum of the volumes of the products and the unreacted reactants: \[ \text{Total Volume} = \text{Volume of } SO_3 + \text{Remaining } O_2 + \text{Remaining } SO_2 \] \[ = 5 \text{ liters } SO_3 + 0.5 \text{ liters } O_2 + 0 \text{ liters } SO_2 = 5.5 \text{ liters} \] ### Final Answer: The volume of the reaction mixture at the completion of the reaction is **5.5 liters**. ---
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