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Comprehension # 9 A 10ml mixture of N(...

Comprehension # 9
A `10ml` mixture of `N_(2)`, a alkane `& O_(2)` undergo combustion in Eudiometry tube. There was contraction of `2ml`, when residual gases are passed are passed through `KOH`. To the remaining mixture comprising of only one gas excess `H_(2)` was added `&` after combustion the gas product is absorbed by water. causing a reduction in volume of `8ml`.
Gas produced after introduction of `H_(2)` in the mixture?
Volume of `N_(2)` present in the mixture?

A

`2ml`

B

`4ml`

C

`6ml`

D

`8ml`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem step by step, let's break down the information given and analyze it systematically. ### Step 1: Understanding the Initial Mixture We have a 10 ml mixture of three gases: nitrogen (N₂), an alkane (CnH₂n), and oxygen (O₂). When this mixture undergoes combustion, we observe a contraction of 2 ml. This means that the total volume of gases after combustion is 10 ml - 2 ml = 8 ml. ### Step 2: Residual Gases After Combustion After the combustion, the residual gases are passed through KOH, which absorbs carbon dioxide (CO₂). The contraction of 2 ml indicates that 2 ml of gas was consumed during the combustion process, which is primarily due to the formation of CO₂ and water vapor. ### Step 3: Analyzing the Remaining Gases After passing through KOH, the remaining gases consist of nitrogen (N₂) and any unreacted oxygen (O₂). Since KOH absorbs CO₂, we can conclude that the remaining gases are N₂ and O₂. ### Step 4: Adding Excess Hydrogen (H₂) Next, we add excess hydrogen gas (H₂) to the remaining mixture. The reaction that occurs is: \[ N_2 + 3H_2 \rightarrow 2NH_3 \] This indicates that nitrogen reacts with hydrogen to form ammonia (NH₃). ### Step 5: Volume Change After Adding H₂ After the addition of H₂ and subsequent combustion, the volume of gas is absorbed by water, causing a reduction of 8 ml. This means that the total volume of gas after the reaction is reduced by 8 ml due to the formation of ammonia. ### Step 6: Calculating the Volume of Ammonia Produced From the reaction stoichiometry, we know that: - 1 mole of N₂ produces 2 moles of NH₃. - The volume of gases is proportional to the number of moles (at the same temperature and pressure). Since the reduction in volume is 8 ml, this corresponds to the volume of ammonia produced. Therefore, the volume of ammonia produced is 8 ml. ### Step 7: Relating Ammonia Volume to Nitrogen Volume From the stoichiometry of the reaction: - 2 volumes of NH₃ are produced from 1 volume of N₂. - Therefore, if 8 ml of NH₃ is produced, the volume of N₂ used is: \[ \text{Volume of } N_2 = \frac{8 \text{ ml}}{2} = 4 \text{ ml} \] ### Final Answers 1. **Gas produced after introduction of H₂**: Ammonia (NH₃). 2. **Volume of N₂ present in the mixture**: 4 ml.

To solve the problem step by step, let's break down the information given and analyze it systematically. ### Step 1: Understanding the Initial Mixture We have a 10 ml mixture of three gases: nitrogen (N₂), an alkane (CnH₂n), and oxygen (O₂). When this mixture undergoes combustion, we observe a contraction of 2 ml. This means that the total volume of gases after combustion is 10 ml - 2 ml = 8 ml. ### Step 2: Residual Gases After Combustion After the combustion, the residual gases are passed through KOH, which absorbs carbon dioxide (CO₂). The contraction of 2 ml indicates that 2 ml of gas was consumed during the combustion process, which is primarily due to the formation of CO₂ and water vapor. ...
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