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The ratio of alcohol to water in an alcohol-water solution is 9 The rate of evaporation per hour of alcohol and water on boiling iS 20% and 5% respectively. The minimum number of hours for which the solution needs to be boiled so as it contains at least 18% of water?
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The ratio of alcohol to water in an alcohol-water solution is 9 The ra...
Understanding the Problem
To solve this problem, we need to calculate the minimum number of hours for which a solution needs to be boiled in order to contain at least 18% water. We are given the ratio of alcohol to water in the solution, as well as the rates of evaporation for alcohol and water on boiling.

Solution Approach
- Step 1: Initial Composition
- Let's assume we have 100 units of the solution.
- Given the ratio of alcohol to water is 9, we have 90 units of alcohol and 10 units of water initially.
- Step 2: Boiling Process
- On boiling, the rate of evaporation for alcohol is 20%, so 20% of 90 units will evaporate.
- Similarly, the rate of evaporation for water is 5%, so 5% of 10 units will evaporate.
- Step 3: Calculating the Composition after Boiling
- After boiling, we have 72 units of alcohol (90 - 20% of 90) and 9.5 units of water (10 - 5% of 10).
- Step 4: Repeating the Boiling Process
- We need to repeat the boiling process until the solution contains at least 18% water.
- Let's calculate the amount of water after each hour of boiling and determine the minimum number of hours required.
- Step 5: Final Calculation
- We continue to evaporate alcohol and water until the water content reaches 18%.
- By repeating the process, we can find the minimum number of hours required to reach the desired water content.
By following these steps and calculations, we can determine the minimum number of hours for which the solution needs to be boiled to contain at least 18% water.
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The ratio of alcohol to water in an alcohol-water solution is 9 The rate of evaporation per hour of alcohol and water on boiling iS 20% and 5% respectively. The minimum number of hours for which the solution needs to be boiled so as it contains at least 18% of water?
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The ratio of alcohol to water in an alcohol-water solution is 9 The rate of evaporation per hour of alcohol and water on boiling iS 20% and 5% respectively. The minimum number of hours for which the solution needs to be boiled so as it contains at least 18% of water? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The ratio of alcohol to water in an alcohol-water solution is 9 The rate of evaporation per hour of alcohol and water on boiling iS 20% and 5% respectively. The minimum number of hours for which the solution needs to be boiled so as it contains at least 18% of water? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of alcohol to water in an alcohol-water solution is 9 The rate of evaporation per hour of alcohol and water on boiling iS 20% and 5% respectively. The minimum number of hours for which the solution needs to be boiled so as it contains at least 18% of water?.
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