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2 vessels contain equal quantity of solution containing NaCl and HCl in the ratio of 9:2 and 7:4. Now the solutions are mixed with each other. Find the ratio of NaCl and HCl in the final solution?
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2 vessels contain equal quantity of solution containing NaCl and HCl i...
Understanding the Solutions
We have two vessels containing NaCl and HCl in specific ratios:
- Vessel 1: NaCl : HCl = 9 : 2
- Vessel 2: NaCl : HCl = 7 : 4
Assuming both vessels contain the same volume of solution, we can denote this volume as V.
Calculating the Amounts in Each Vessel
For Vessel 1:
- Total parts = 9 + 2 = 11
- NaCl = (9/11) * V
- HCl = (2/11) * V
For Vessel 2:
- Total parts = 7 + 4 = 11
- NaCl = (7/11) * V
- HCl = (4/11) * V
Mixing the Solutions
When we mix both solutions, the total amounts of NaCl and HCl can be calculated as follows:
- Total NaCl = NaCl from Vessel 1 + NaCl from Vessel 2
- = (9/11)V + (7/11)V
- = (16/11)V
- Total HCl = HCl from Vessel 1 + HCl from Vessel 2
- = (2/11)V + (4/11)V
- = (6/11)V
Finding the Final Ratio
Now, we calculate the final ratio of NaCl to HCl in the mixed solution:
- Ratio = Total NaCl : Total HCl
- = (16/11)V : (6/11)V
This simplifies to:
- = 16 : 6
- = 8 : 3 (after dividing both sides by 2)
Conclusion
The final ratio of NaCl to HCl in the mixed solution is 8:3.
We have two vessels containing NaCl and HCl in specific ratios:
- Vessel 1: NaCl : HCl = 9 : 2
- Vessel 2: NaCl : HCl = 7 : 4
Assuming both vessels contain the same volume of solution, we can denote this volume as V.
Calculating the Amounts in Each Vessel
For Vessel 1:
- Total parts = 9 + 2 = 11
- NaCl = (9/11) * V
- HCl = (2/11) * V
For Vessel 2:
- Total parts = 7 + 4 = 11
- NaCl = (7/11) * V
- HCl = (4/11) * V
Mixing the Solutions
When we mix both solutions, the total amounts of NaCl and HCl can be calculated as follows:
- Total NaCl = NaCl from Vessel 1 + NaCl from Vessel 2
- = (9/11)V + (7/11)V
- = (16/11)V
- Total HCl = HCl from Vessel 1 + HCl from Vessel 2
- = (2/11)V + (4/11)V
- = (6/11)V
Finding the Final Ratio
Now, we calculate the final ratio of NaCl to HCl in the mixed solution:
- Ratio = Total NaCl : Total HCl
- = (16/11)V : (6/11)V
This simplifies to:
- = 16 : 6
- = 8 : 3 (after dividing both sides by 2)
Conclusion
The final ratio of NaCl to HCl in the mixed solution is 8:3.
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2 vessels contain equal quantity of solution containing NaCl and HCl in the ratio of 9:2 and 7:4. Now the solutions are mixed with each other. Find the ratio of NaCl and HCl in the final solution?
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2 vessels contain equal quantity of solution containing NaCl and HCl in the ratio of 9:2 and 7:4. Now the solutions are mixed with each other. Find the ratio of NaCl and HCl in the final solution? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 2 vessels contain equal quantity of solution containing NaCl and HCl in the ratio of 9:2 and 7:4. Now the solutions are mixed with each other. Find the ratio of NaCl and HCl in the final solution? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 2 vessels contain equal quantity of solution containing NaCl and HCl in the ratio of 9:2 and 7:4. Now the solutions are mixed with each other. Find the ratio of NaCl and HCl in the final solution?.
2 vessels contain equal quantity of solution containing NaCl and HCl in the ratio of 9:2 and 7:4. Now the solutions are mixed with each other. Find the ratio of NaCl and HCl in the final solution? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 2 vessels contain equal quantity of solution containing NaCl and HCl in the ratio of 9:2 and 7:4. Now the solutions are mixed with each other. Find the ratio of NaCl and HCl in the final solution? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 2 vessels contain equal quantity of solution containing NaCl and HCl in the ratio of 9:2 and 7:4. Now the solutions are mixed with each other. Find the ratio of NaCl and HCl in the final solution?.
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