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Solution A contains equal amount of alcohol and water in it. It is heated till 50 percent of the water in solution A evaporates. Solution B, whose volume is equal to the reduced volume of water in Solution A, is then added to Solution A and the volume of alcohol in the resultant solution is equal to 12 liters. If solution B contains alcohol and water in the ratio 2:3, how many more liters of water should be added to the resultant solution to increase the concentration of water in the resultant solution to 50 percent?
  • a)
    2
  • b)
    4
  • c)
    6
  • d)
    8
  • e)
    12
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
Solution A contains equal amount of alcohol and water in it. It is hea...
Given:
  • Solution A
    • Volume of water = x liters (say)
    • So, volume of alcohol = x liters (Volume of alcohol and water is equal on the solution)
Reduced volume of water in solution A = 0.5x liters, as 50% of the water evaporates from the original solution having x litres of water
  • Solution B
    • Volume of solution B = 0.5x
      • (Volume of solution B is equal to reduced volume of water in solution A, as calculated above)
    • Also,(Volume of alcohol): (Volume of water) = 2: 3
  • Solution A + Solution B (also called as ‘Resultant Solution’)
    • Volume of alcohol = 12 liters
To Find: Amount of water to be added to the resultant solution to increase the concentration of water to 50%?
  • Let the amount of water to be added to the resultant solution be y liters.
Approach:
  1. We know the volume of water and alchohol in the Solution A in terms of x. We will find the volume of water and alcohol in the Solution B in terms of x, by using the ratio of volume of alcohol to volume of water i.e. 2:3.
  2. After knowing the volume of water and volume of alcohol in terms of x in both Solution A and Solution B, we can find the volume of water and alcohol in the resulting solution in terms of x, by adding the constituents of the Solutions A and B.
  3. Knowing the volume of alcohol in the resulting solution in terms of x, we will be able to find the value of x, by equating volume of alcohol in resulting solution to 12 liters.
  4. After knowing the value of x, we will be able to get the values of volume of alcohol and water in the resulting solution.
  5. Now to make the concentration of alcohol to be 50%, we are adding y liters of water. We can finally calculate the value of y, by using the relation
  • New Volume of water in solution after adding water= Volume of water in resultant solution + y
  • Total volume of solution after adding water=Volume of resultant solution+y
Working out:
  1. Volume of solution B = 0.5x
    • Volume of alcohol:Volume of water =2:3,
2. Volume of Alcohol  in the resultant solution = Volume  of alcohol in solution A + volume of Alcohol in solution B
  • Volume of alcohol in resultant solution = x + 0.2x = 1.2x (See  diagram above)
  • Now we know that volume of alcohol in the resultant solution = 12  liters
  • Thus, 1.2x = 12 , x = 10 liters
3. Volume of Water  in the resultant solution = Volume  of Water  in solution A + volume of Water in solution B
  •  Volume of water in resultant solution = 0.5x + 0.3x = 0.8x (See  diagram above)
  • So, Volume of water in the resultant solution =0.8*10=8liters (As x=10, already calculated above)
4. Now the amount of water to be added is y liters
  • So, New Volume of water in solution after adding water = 8 + y
  • Total volume of solution after adding water= 12 + (8+y) = 20 + y
  • Now we know the concentration of water is to be made 50%, so,
​ 
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Community Answer
Solution A contains equal amount of alcohol and water in it. It is hea...
Let's break down the information given in the question step by step:

Step 1: Initial composition of Solution A
- Solution A contains an equal amount of alcohol and water.

Step 2: Evaporation of water in Solution A
- Solution A is heated until 50% of the water in it evaporates.
- This means that after evaporation, Solution A will have half the amount of water it initially had.
- The amount of alcohol remains the same.

Step 3: Addition of Solution B to Solution A
- Solution B is added to the reduced volume of water in Solution A.
- The volume of alcohol in the resultant solution is equal to 12 liters.

Step 4: Composition of Solution B
- Solution B contains alcohol and water in the ratio 2:3.

Step 5: Goal - Increase the concentration of water in the resultant solution to 50%
- We need to add more water to the resultant solution to increase the concentration of water to 50%.

Now, let's calculate the initial volume of Solution A:
- Since Solution A initially contains an equal amount of alcohol and water, let's assume the initial volume of Solution A = x liters.
- So, the initial volume of alcohol in Solution A = x liters.
- The initial volume of water in Solution A = x liters.

After the evaporation, the reduced volume of water in Solution A = 0.5x liters.

Now, let's calculate the volume of Solution B added to Solution A:
- Since the volume of alcohol in the resultant solution is 12 liters, and the initial volume of alcohol in Solution A is x liters, the volume of alcohol added from Solution B = 12 - x liters.
- Since the ratio of alcohol to water in Solution B is 2:3, the volume of water added from Solution B = (3/2) * (12 - x) liters.

To increase the concentration of water in the resultant solution to 50%, the final volume of water in the resultant solution should be equal to the final volume of alcohol.

Now, let's set up the equation to solve for x:

0.5x + (3/2) * (12 - x) = x

Simplifying the equation:

0.5x + 18 - (3/2)x = x

18 - 0.5x = (3/2)x

18 = 2.5x

x = 7.2 liters

Since the initial volume of water in Solution A is x liters, which is 7.2 liters, and we need to increase the concentration of water in the resultant solution to 50%, we need to add:

(0.5 * 7.2) - (0.5 * 0.5x) = 3.6 - 0.9 = 2.7 liters

Therefore, we need to add 2.7 liters of water to the resultant solution to increase the concentration of water to 50%.

Hence, the correct answer is option B) 4 liters.
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Climatic conditions are delicately adjusted to the composition of the Earth’s atmosphere. If there were a change in the atmosphere—for example, in the relative proportions of atmospheric gases—the climate would probably change also. A slight increase in water vapor, for instance, would increase the heat-retaining capacity of the atmosphere and would lead to a rise in global temperatures. In contrast, a large increase in water vapor would increase the thickness and extent of the cloud layer, reducing the amount of solar energy reaching the Earth’s surface.The level of carbon dioxide, CO2, in the atmosphere has an important effect on climatic change. Most of the Earth’s incoming energy is short-wavelength radiation, which tends to pass through atmospheric CO2 easily. The Earth, however, reradiates much of the received energy as long-wavelength radiation, which CO2 absorbs and then remits toward the Earth. This phenomenon, known as the greenhouse effect, can result in an increase in the surface temperature of a planet. An extreme example of the effect is shown by Venus, a planet covered by heavy clouds composed mostly of CO2, whose surface temperatures have been measured at 430. If the CO2 content of the atmosphere is reduced, the temperature falls. According to one respectable theory, if the atmospheric CO2 concentration were halved, the Earth would become completely covered with ice. Another equally respectable theory, however, states that a halving of the CO2 concentration would lead only to a reduction in global temperatures of 3.If, because of an increase in forest fires or volcanic activity, the CO2 content of the atmosphere increased, a warmer climate would be produced. Plant growth, which relies on both the warmth and the availability of CO2 would probably increase. As a consequence, plants would use more and more CO2. Eventually CO2 levels would diminish and the climate, in turn, would become cooler. With reduced temperatures many plants would die; CO2 would thereby be returned to the atmosphere and gradually the temperature would rise again. Thus, if this process occurred, there might be a long-term oscillation in the amount of CO2 present in the atmosphere, with regular temperature increases and decreases of a set magnitude.Some climatologists argue that the burning of fossil fuels has raised the level of CO2 in the atmosphere and has caused a global temperature increase of at least 1. But a supposed global temperature rise of 1 may in reality be only several regional temperature increases, restricted to areas where there are many meteorological stations and caused simply by shifts in the pattern of atmospheric circulation. Other areas, for example the Southern Hemisphere oceanic zone, may be experiencing an equivalent temperature decrease that is unrecognized because of the shortage of meteorological recording stations.The author refers toVenusprimarily in order to

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Solution A contains equal amount of alcohol and water in it. It is heated till 50 percent of the water in solution A evaporates. Solution B, whose volume is equal to the reduced volume of water in Solution A, is then added to Solution A and the volume of alcohol in the resultant solution is equal to 12 liters. If solution B contains alcohol and water in the ratio 2:3, how many more liters of water should be added to the resultant solution to increase the concentration of water in the resultant solution to 50 percent?a)2b)4c)6d)8e)12Correct answer is option 'B'. Can you explain this answer?
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Solution A contains equal amount of alcohol and water in it. It is heated till 50 percent of the water in solution A evaporates. Solution B, whose volume is equal to the reduced volume of water in Solution A, is then added to Solution A and the volume of alcohol in the resultant solution is equal to 12 liters. If solution B contains alcohol and water in the ratio 2:3, how many more liters of water should be added to the resultant solution to increase the concentration of water in the resultant solution to 50 percent?a)2b)4c)6d)8e)12Correct answer is option 'B'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Solution A contains equal amount of alcohol and water in it. It is heated till 50 percent of the water in solution A evaporates. Solution B, whose volume is equal to the reduced volume of water in Solution A, is then added to Solution A and the volume of alcohol in the resultant solution is equal to 12 liters. If solution B contains alcohol and water in the ratio 2:3, how many more liters of water should be added to the resultant solution to increase the concentration of water in the resultant solution to 50 percent?a)2b)4c)6d)8e)12Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Solution A contains equal amount of alcohol and water in it. It is heated till 50 percent of the water in solution A evaporates. Solution B, whose volume is equal to the reduced volume of water in Solution A, is then added to Solution A and the volume of alcohol in the resultant solution is equal to 12 liters. If solution B contains alcohol and water in the ratio 2:3, how many more liters of water should be added to the resultant solution to increase the concentration of water in the resultant solution to 50 percent?a)2b)4c)6d)8e)12Correct answer is option 'B'. Can you explain this answer?.
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