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A barrel has 100 litres of pure alcohol. 20 litres of alcohol is removed and replaced with the same amount of water. This process is repeated two more times. What is the amount of alcohol in the resultant solution?
  • a)
    40 litres
  • b)
    36 litres
  • c)
    51.2 litres
  • d)
    54.6 litres
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A barrel has 100 litres of pure alcohol. 20 litres of alcohol is remov...
The above solution of alcohol has been successively diluted three times. Hence we use the formula for successive dilution.
Where v is the initial volume of pure alcohol, c is the concentration of the alcohol after replacements and x is the volume of alcohol replaced.
Amount of alcohol in the resultant solution = 0.512 * 100 = 51.2 litres Hence, option 3.
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Most Upvoted Answer
A barrel has 100 litres of pure alcohol. 20 litres of alcohol is remov...
The above solution of alcohol has been successively diluted three times. Hence we use the formula for successive dilution.
Where v is the initial volume of pure alcohol, c is the concentration of the alcohol after replacements and x is the volume of alcohol replaced.
Amount of alcohol in the resultant solution = 0.512 * 100 = 51.2 litres Hence, option 3.
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Community Answer
A barrel has 100 litres of pure alcohol. 20 litres of alcohol is remov...
The above solution of alcohol has been successively diluted three times. Hence we use the formula for successive dilution.
Where v is the initial volume of pure alcohol, c is the concentration of the alcohol after replacements and x is the volume of alcohol replaced.
Amount of alcohol in the resultant solution = 0.512 * 100 = 51.2 litres Hence, option 3.
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A barrel has 100 litres of pure alcohol. 20 litres of alcohol is removed and replaced with the same amount of water. This process is repeated two more times. What is the amount of alcohol in the resultant solution?a)40 litresb)36 litresc)51.2 litresd)54.6 litresCorrect answer is option 'C'. Can you explain this answer?
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