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A vessel is full of a mixture of methanol and ethanol in which there is 20% ethanol. 10 litres of mixture are drawn off and filled with methanol. If the ethanol is now 15%, what is the capacity of the vessel?
- a)40l
- b)30l
- c)50l
- d)36l
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A vessel is full of a mixture of methanol and ethanol in which there ...
Problem:
A vessel is full of a mixture of methanol and ethanol in which there is 20% ethanol. 10 litres of mixture are drawn off and filled with methanol. If the ethanol is now 15%, what is the capacity of the vessel?
Solution:
Let us assume that the vessel has a capacity of x liters.
Initial Mixture:
Initially, the mixture in the vessel contains 20% ethanol.
So, the amount of ethanol in the initial mixture = (20/100) * x = 0.2x liters.
And, the amount of methanol in the initial mixture = (80/100) * x = 0.8x liters.
When 10 liters of the initial mixture is drawn off, the amount of ethanol and methanol in the mixture will be:
Ethanol: (20/100) * 10 = 2 liters
Methanol: (80/100) * 10 = 8 liters
After drawing off 10 liters of the mixture, the vessel contains (x - 10) liters of the initial mixture.
Now, 10 liters of methanol is added to the mixture. So, the amount of methanol in the mixture will be:
Methanol: 8 + 10 = 18 liters
And, the amount of ethanol in the mixture will remain the same, i.e., 2 liters.
Final Mixture:
The final mixture contains 15% ethanol.
So, the amount of ethanol in the final mixture = (15/100) * x liters.
And, the amount of methanol in the final mixture = (85/100) * x liters.
We know that the amount of ethanol in the final mixture is (amount of ethanol in the initial mixture - 10 + 0) liters.
So, we can write the equation:
(15/100) * x = 0.2x - 10
Solving this equation, we get:
x = 40 liters
Therefore, the capacity of the vessel is 40 liters.
Answer: (a) 40 liters
A vessel is full of a mixture of methanol and ethanol in which there is 20% ethanol. 10 litres of mixture are drawn off and filled with methanol. If the ethanol is now 15%, what is the capacity of the vessel?
Solution:
Let us assume that the vessel has a capacity of x liters.
Initial Mixture:
Initially, the mixture in the vessel contains 20% ethanol.
So, the amount of ethanol in the initial mixture = (20/100) * x = 0.2x liters.
And, the amount of methanol in the initial mixture = (80/100) * x = 0.8x liters.
When 10 liters of the initial mixture is drawn off, the amount of ethanol and methanol in the mixture will be:
Ethanol: (20/100) * 10 = 2 liters
Methanol: (80/100) * 10 = 8 liters
After drawing off 10 liters of the mixture, the vessel contains (x - 10) liters of the initial mixture.
Now, 10 liters of methanol is added to the mixture. So, the amount of methanol in the mixture will be:
Methanol: 8 + 10 = 18 liters
And, the amount of ethanol in the mixture will remain the same, i.e., 2 liters.
Final Mixture:
The final mixture contains 15% ethanol.
So, the amount of ethanol in the final mixture = (15/100) * x liters.
And, the amount of methanol in the final mixture = (85/100) * x liters.
We know that the amount of ethanol in the final mixture is (amount of ethanol in the initial mixture - 10 + 0) liters.
So, we can write the equation:
(15/100) * x = 0.2x - 10
Solving this equation, we get:
x = 40 liters
Therefore, the capacity of the vessel is 40 liters.
Answer: (a) 40 liters
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Community Answer
A vessel is full of a mixture of methanol and ethanol in which there ...
Therefore, Mixture: Methanol = 3:1
So, for 10 litres of methanol, 30 I of Mixture is needed. So, total capacity = (30 + 10)l = 40l
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A vessel is full of a mixture of methanol and ethanol in which there is 20% ethanol. 10 litres of mixture are drawn off and filled with methanol. If the ethanol is now 15%, what is the capacity of the vessel?a)40lb)30lc)50ld)36lCorrect answer is option 'A'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A vessel is full of a mixture of methanol and ethanol in which there is 20% ethanol. 10 litres of mixture are drawn off and filled with methanol. If the ethanol is now 15%, what is the capacity of the vessel?a)40lb)30lc)50ld)36lCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A vessel is full of a mixture of methanol and ethanol in which there is 20% ethanol. 10 litres of mixture are drawn off and filled with methanol. If the ethanol is now 15%, what is the capacity of the vessel?a)40lb)30lc)50ld)36lCorrect answer is option 'A'. Can you explain this answer?.
A vessel is full of a mixture of methanol and ethanol in which there is 20% ethanol. 10 litres of mixture are drawn off and filled with methanol. If the ethanol is now 15%, what is the capacity of the vessel?a)40lb)30lc)50ld)36lCorrect answer is option 'A'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A vessel is full of a mixture of methanol and ethanol in which there is 20% ethanol. 10 litres of mixture are drawn off and filled with methanol. If the ethanol is now 15%, what is the capacity of the vessel?a)40lb)30lc)50ld)36lCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A vessel is full of a mixture of methanol and ethanol in which there is 20% ethanol. 10 litres of mixture are drawn off and filled with methanol. If the ethanol is now 15%, what is the capacity of the vessel?a)40lb)30lc)50ld)36lCorrect answer is option 'A'. Can you explain this answer?.
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A vessel is full of a mixture of methanol and ethanol in which there is 20% ethanol. 10 litres of mixture are drawn off and filled with methanol. If the ethanol is now 15%, what is the capacity of the vessel?a)40lb)30lc)50ld)36lCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for A vessel is full of a mixture of methanol and ethanol in which there is 20% ethanol. 10 litres of mixture are drawn off and filled with methanol. If the ethanol is now 15%, what is the capacity of the vessel?a)40lb)30lc)50ld)36lCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of A vessel is full of a mixture of methanol and ethanol in which there is 20% ethanol. 10 litres of mixture are drawn off and filled with methanol. If the ethanol is now 15%, what is the capacity of the vessel?a)40lb)30lc)50ld)36lCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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