A jar contains a mixture of x ml water and 500 ml alcohol. Girish takes out 20% of the mixture and substitutes it with water of the same volume. The process is repeated once again. The volume of water in the mixture is now 305 ml. The volume of the liquid left in the jar now is ____________ .
Question
A jar contains a mixture of x ml water and 500 ml alcohol. Girish takes out 20% of the mixture and substitutes it with water of the same volume. The process is repeated once again. The volume of water in the mixture is now 305 ml. The volume of the liquid left in the jar now is ____________ .
Solution
Let's solve this step by step:
Step 1: Initially, the jar contains x ml of water and 500 ml of alcohol. So, the total volume of the mixture is x + 500 ml.
Step 2: Girish takes out 20% of the mixture. This means he takes out 0.2 * (x + 500) ml of the mixture.
Step 3: He then substitutes this volume with the same volume of water. So, the volume of the mixture remains the same, i.e., x + 500 ml.
Step 4: The process is repeated once again. So, Girish takes out 20% of the mixture again, which is 0.2 * (x + 500) ml, and substitutes it with the same volume of water.
Step 5: After these two operations, the volume of water in the mixture is given as 305 ml.
Step 6: Since the volume of the mixture remains the same after each operation, the total volume of the liquid left in the jar is still x + 500 ml.
Similar Questions
A jar full of whisky contains 40% alcohol. A part of this whisky is replaced by another containing 19% alcohol and now the percentage of alcohol was found to be 26%. The quantity of whisky replaced is:Choices:- 1/3 2/3 2/5 3/5Save AnswerSkip this questionFinish Exam
What is the mass percent of ethyl alcohol in a solution containing 62 mL of ethyl alcohol mixed into 200 mL of water? (Note: Density of ethyl alcohol = 0.8 g/mL; density of water = 1 g/mL.)
4. A solution is 40% alcohol. How much pure alcohol must be added to 200 ml of the solution to make it 50% alcohol?
A 528. mL solution was made by mixing 91.7 mL of ethanol, which has a density of 0.79 /gmL, and 431. mL of water, which has a density of 1.0 /gmL.Calculate the volume percent of ethanol in this solution.Be sure your answer has the right number of significant digits.
A bartender has a mixture of alcohol in which the ratio of alcohol and water is 7 : 3. He sells 40 liters of the mixture then he adds 12 liters of pure water. Now the ratio of alcohol and water is 9 : 5. What is the new quantity (in liters) of mixture?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.