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NEET CHEMISTRYElectrochemistryMedium

Question

During the electrolysis of molten sodium chloride, the time required to produce 0.10 mol0.10 \text{ mol} of chlorine gas using a current of 3 amperes3 \text{ amperes} is

A

55 minutes

B

110 minutes

C

220 minutes

D

330 minutes

Step-by-Step Solution

The balanced chemical equation for the oxidation of chloride ions to chlorine gas at the anode is: 2ClCl2+2e2\text{Cl}^- \rightarrow \text{Cl}_2 + 2\text{e}^- This indicates that the formation of 1 mole1 \text{ mole} of Cl2\text{Cl}_2 gas requires the passage of 2 moles2 \text{ moles} of electrons, which corresponds to a charge of 2 Faradays2 \text{ Faradays} (2×96500 C2 \times 96500 \text{ C}). For producing 0.10 mol0.10 \text{ mol} of Cl2\text{Cl}_2, the required charge (QQ) is: Q=0.10×2×96500 C=19300 CQ = 0.10 \times 2 \times 96500 \text{ C} = 19300 \text{ C} We know that charge Q=I×tQ = I \times t, where II is the current and tt is the time in seconds. Given current I=3 AI = 3 \text{ A}, t=QI=193003 s=6433.33 st = \frac{Q}{I} = \frac{19300}{3} \text{ s} = 6433.33 \text{ s} To convert the time into minutes, we divide by 6060: t (in minutes)=6433.3360107.22 minutest \text{ (in minutes)} = \frac{6433.33}{60} \approx 107.22 \text{ minutes} Since 107.22 minutes107.22 \text{ minutes} is closest to 110 minutes110 \text{ minutes} among the given options, 110 minutes110 \text{ minutes} is the appropriate answer.

Exam Context & Concepts Covered

This question aligns with the NEET CHEMISTRY syllabus, specifically targeting concepts from Electrochemistry. Mastering this topic is crucial for scoring well in the upcoming medical entrance examinations. Solving conceptually related problems will help you understand the nuances of these concepts and improve your problem-solving speed.

CHEMISTRYElectrochemistryduringelectrolysismoltensodiumchloride

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