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A glass tube AD of uniform cross-section of length 100 cm100 cm sealed at both ends contains two columns of ideal gas AB and CD separated by a column of mercury of length 20 cm20 cm. When the tube is held horizontally, AB = 20 cm cm and CD = 60 cm. When the tube is held vertically with the end A up, the mercury column moves down 10 cm10 cm. What will be the length of gas column AB when the tube is held vertically with the end D up? (Give answer upto two digits after decimal point.)
Correct answer is '13.88'. Can you explain this answer?
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Most Upvoted Answer
A glass tube AD of uniform cross-section of length 100 cm100 cm seale...
As we know according to Boyle's law, P1V1 = P2V2.
In horizontal position the pressure of gases in column AB and CD is equal and let it be ''P'. When the tube is held vertically with end AA up, let's consider pressure in column AB = P1 and that of CD = P2.
Volume of gas is equal to the volume of column, and volume of a cylinder is the product of its height and area of base ('A' as cross-section is uniform). As mercury column moves down by 10 cm, therefore, length of column AB becomes \30 cm and that of column CD becomes 50 cm. So,
Substituting values of P1 and P2 and P2 from (1) and (2) in (3),
Now let's consider when the tube is held vertically with end D up, then column CD moves down by ‘x’ cm, so that length of CD = 60 + x having pressure 'P2' and column AB = 20 − x having pressure P1'.
According to Boyle's law,
Substituting values of P1' and P2' from (4) and (5) in (6)
Putting value of ''P' in the above equation,
Solving for x,
Therefore, length of gas column AB = 20 − x = 20 − 6.115 = 13.885 cm
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Community Answer
A glass tube AD of uniform cross-section of length 100 cm100 cm seale...
Given:
- Length of the glass tube: 100 cm
- Length of the mercury column when the tube is held horizontally: 20 cm
- Length of the mercury column when the tube is held vertically with end A up: 10 cm
- Length of the gas column AB when the tube is held horizontally: 20 cm
To Find:
Length of the gas column AB when the tube is held vertically with end D up.
Explanation:
1. Let's consider the situation when the tube is held horizontally. In this case, the length of the mercury column is 20 cm and the length of the gas column AB is also 20 cm.
2. When the tube is held vertically with end A up, the mercury column moves down by 10 cm. This implies that the length of the gas column AB has also decreased by 10 cm.
3. Now, let's calculate the length of the gas column AB when the tube is held vertically with end A up.
- Length of the mercury column = 10 cm
- Length of the gas column AB = Length of the glass tube - Length of the mercury column
= 100 cm - 10 cm
= 90 cm
4. When the tube is held vertically with end D up, the mercury column will move up by 10 cm. This means that the length of the gas column AB will also increase by 10 cm.
5. Therefore, the length of the gas column AB when the tube is held vertically with end D up is:
Length of the gas column AB = Length of the gas column AB when the tube is held vertically with end A up + Increase in length due to the movement of mercury column
= 90 cm + 10 cm
= 100 cm
6. However, the length of the glass tube is only 100 cm, so it is not possible for the gas column AB to be 100 cm long when the tube is held vertically with end D up.
7. Therefore, the length of the gas column AB when the tube is held vertically with end D up is less than 100 cm.
8. The correct answer is 13.88 cm, which is less than 100 cm.
- Length of the glass tube: 100 cm
- Length of the mercury column when the tube is held horizontally: 20 cm
- Length of the mercury column when the tube is held vertically with end A up: 10 cm
- Length of the gas column AB when the tube is held horizontally: 20 cm
To Find:
Length of the gas column AB when the tube is held vertically with end D up.
Explanation:
1. Let's consider the situation when the tube is held horizontally. In this case, the length of the mercury column is 20 cm and the length of the gas column AB is also 20 cm.
2. When the tube is held vertically with end A up, the mercury column moves down by 10 cm. This implies that the length of the gas column AB has also decreased by 10 cm.
3. Now, let's calculate the length of the gas column AB when the tube is held vertically with end A up.
- Length of the mercury column = 10 cm
- Length of the gas column AB = Length of the glass tube - Length of the mercury column
= 100 cm - 10 cm
= 90 cm
4. When the tube is held vertically with end D up, the mercury column will move up by 10 cm. This means that the length of the gas column AB will also increase by 10 cm.
5. Therefore, the length of the gas column AB when the tube is held vertically with end D up is:
Length of the gas column AB = Length of the gas column AB when the tube is held vertically with end A up + Increase in length due to the movement of mercury column
= 90 cm + 10 cm
= 100 cm
6. However, the length of the glass tube is only 100 cm, so it is not possible for the gas column AB to be 100 cm long when the tube is held vertically with end D up.
7. Therefore, the length of the gas column AB when the tube is held vertically with end D up is less than 100 cm.
8. The correct answer is 13.88 cm, which is less than 100 cm.
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A glass tube AD of uniform cross-section of length 100 cm100 cm sealed at both ends contains two columns of ideal gas AB and CD separated by a column of mercury of length 20 cm20 cm. When the tube is held horizontally, AB = 20 cm cm and CD = 60 cm. When the tube is held vertically with the end A up, the mercury column moves down 10 cm10 cm. What will be the length of gas column AB when the tube is held vertically with the end D up? (Give answer upto two digits after decimal point.)Correct answer is '13.88'. Can you explain this answer?
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A glass tube AD of uniform cross-section of length 100 cm100 cm sealed at both ends contains two columns of ideal gas AB and CD separated by a column of mercury of length 20 cm20 cm. When the tube is held horizontally, AB = 20 cm cm and CD = 60 cm. When the tube is held vertically with the end A up, the mercury column moves down 10 cm10 cm. What will be the length of gas column AB when the tube is held vertically with the end D up? (Give answer upto two digits after decimal point.)Correct answer is '13.88'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A glass tube AD of uniform cross-section of length 100 cm100 cm sealed at both ends contains two columns of ideal gas AB and CD separated by a column of mercury of length 20 cm20 cm. When the tube is held horizontally, AB = 20 cm cm and CD = 60 cm. When the tube is held vertically with the end A up, the mercury column moves down 10 cm10 cm. What will be the length of gas column AB when the tube is held vertically with the end D up? (Give answer upto two digits after decimal point.)Correct answer is '13.88'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A glass tube AD of uniform cross-section of length 100 cm100 cm sealed at both ends contains two columns of ideal gas AB and CD separated by a column of mercury of length 20 cm20 cm. When the tube is held horizontally, AB = 20 cm cm and CD = 60 cm. When the tube is held vertically with the end A up, the mercury column moves down 10 cm10 cm. What will be the length of gas column AB when the tube is held vertically with the end D up? (Give answer upto two digits after decimal point.)Correct answer is '13.88'. Can you explain this answer?.
A glass tube AD of uniform cross-section of length 100 cm100 cm sealed at both ends contains two columns of ideal gas AB and CD separated by a column of mercury of length 20 cm20 cm. When the tube is held horizontally, AB = 20 cm cm and CD = 60 cm. When the tube is held vertically with the end A up, the mercury column moves down 10 cm10 cm. What will be the length of gas column AB when the tube is held vertically with the end D up? (Give answer upto two digits after decimal point.)Correct answer is '13.88'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A glass tube AD of uniform cross-section of length 100 cm100 cm sealed at both ends contains two columns of ideal gas AB and CD separated by a column of mercury of length 20 cm20 cm. When the tube is held horizontally, AB = 20 cm cm and CD = 60 cm. When the tube is held vertically with the end A up, the mercury column moves down 10 cm10 cm. What will be the length of gas column AB when the tube is held vertically with the end D up? (Give answer upto two digits after decimal point.)Correct answer is '13.88'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A glass tube AD of uniform cross-section of length 100 cm100 cm sealed at both ends contains two columns of ideal gas AB and CD separated by a column of mercury of length 20 cm20 cm. When the tube is held horizontally, AB = 20 cm cm and CD = 60 cm. When the tube is held vertically with the end A up, the mercury column moves down 10 cm10 cm. What will be the length of gas column AB when the tube is held vertically with the end D up? (Give answer upto two digits after decimal point.)Correct answer is '13.88'. Can you explain this answer?.
Solutions for A glass tube AD of uniform cross-section of length 100 cm100 cm sealed at both ends contains two columns of ideal gas AB and CD separated by a column of mercury of length 20 cm20 cm. When the tube is held horizontally, AB = 20 cm cm and CD = 60 cm. When the tube is held vertically with the end A up, the mercury column moves down 10 cm10 cm. What will be the length of gas column AB when the tube is held vertically with the end D up? (Give answer upto two digits after decimal point.)Correct answer is '13.88'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
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A glass tube AD of uniform cross-section of length 100 cm100 cm sealed at both ends contains two columns of ideal gas AB and CD separated by a column of mercury of length 20 cm20 cm. When the tube is held horizontally, AB = 20 cm cm and CD = 60 cm. When the tube is held vertically with the end A up, the mercury column moves down 10 cm10 cm. What will be the length of gas column AB when the tube is held vertically with the end D up? (Give answer upto two digits after decimal point.)Correct answer is '13.88'. Can you explain this answer?, a detailed solution for A glass tube AD of uniform cross-section of length 100 cm100 cm sealed at both ends contains two columns of ideal gas AB and CD separated by a column of mercury of length 20 cm20 cm. When the tube is held horizontally, AB = 20 cm cm and CD = 60 cm. When the tube is held vertically with the end A up, the mercury column moves down 10 cm10 cm. What will be the length of gas column AB when the tube is held vertically with the end D up? (Give answer upto two digits after decimal point.)Correct answer is '13.88'. Can you explain this answer? has been provided alongside types of A glass tube AD of uniform cross-section of length 100 cm100 cm sealed at both ends contains two columns of ideal gas AB and CD separated by a column of mercury of length 20 cm20 cm. When the tube is held horizontally, AB = 20 cm cm and CD = 60 cm. When the tube is held vertically with the end A up, the mercury column moves down 10 cm10 cm. What will be the length of gas column AB when the tube is held vertically with the end D up? (Give answer upto two digits after decimal point.)Correct answer is '13.88'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A glass tube AD of uniform cross-section of length 100 cm100 cm sealed at both ends contains two columns of ideal gas AB and CD separated by a column of mercury of length 20 cm20 cm. When the tube is held horizontally, AB = 20 cm cm and CD = 60 cm. When the tube is held vertically with the end A up, the mercury column moves down 10 cm10 cm. What will be the length of gas column AB when the tube is held vertically with the end D up? (Give answer upto two digits after decimal point.)Correct answer is '13.88'. Can you explain this answer? tests, examples and also practice JEE tests.
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