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What is the correct order of occurrence ...

What is the correct order of occurrence (% by weight) in air of Ne, Ar and Kr?

A

`N e gt Ar gt Kr`

B

`Ar gt N e gt Kr`

C

`Ar gt Kr gt N e`

D

`N e gt Kr gt Ar`

Text Solution

AI Generated Solution

The correct Answer is:
To determine the correct order of occurrence (% by weight) in air of Neon (Ne), Argon (Ar), and Krypton (Kr), we can follow these steps: ### Step 1: Understand the Composition of Air Air is composed of various gases, and noble gases constitute a small fraction of the total composition. Among the noble gases, Argon, Neon, and Krypton are present. ### Step 2: Know the Abundance of Noble Gases in Air From scientific data, we know that the abundance of noble gases in the atmosphere by volume is approximately: - Argon (Ar): ~0.93% - Neon (Ne): ~0.0018% - Krypton (Kr): ~0.0001% ### Step 3: Convert Volume Percentages to Weight Percentages The weight percentage of a gas in air is influenced by its molar mass. The molar masses of the noble gases are: - Argon (Ar): 39.95 g/mol - Neon (Ne): 20.18 g/mol - Krypton (Kr): 83.80 g/mol To find the weight percentages, we can use the formula: \[ \text{Weight \%} = \left( \frac{\text{Volume \%} \times \text{Molar Mass}}{\text{Total Weight of Noble Gases}} \right) \times 100 \] ### Step 4: Calculate Total Weight of Noble Gases First, we need to calculate the total weight of the noble gases based on their volume percentages and molar masses. Assuming 100 liters of air: - Weight of Argon = 0.93% of 100 L × 39.95 g/mol - Weight of Neon = 0.0018% of 100 L × 20.18 g/mol - Weight of Krypton = 0.0001% of 100 L × 83.80 g/mol ### Step 5: Compare the Weights After calculating the weights, we can compare them to find the order of abundance: 1. Argon (most abundant) 2. Neon 3. Krypton (least abundant) ### Step 6: Conclusion The correct order of occurrence (% by weight) in air of Ne, Ar, and Kr is: **Argon > Neon > Krypton** ### Final Answer Thus, the correct order is Argon (Ar) > Neon (Ne) > Krypton (Kr). ---
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