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N molecule each of mass m of gas A and 2N molecules each of mass 2m of gas B are contained in the some vessel at temperature T. The mean square at temperature T. The mean square of the velocity of molecules of gas B is v2 and the mean square of x component of the velocity of molecules of gas A is w2 . The ratio w2/v2 upto 2 decimal plane is.
Correct answer is '0.67'. Can you explain this answer?
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Verified Answer
N molecule each of mass m of gas A and 2N molecules each of mass 2m of...
Mean square velocity of molecule = 3kT/m
For gas A, x component of mean square velocity of molecule = w2 ...(1)
∴ Mean square velocity =
...(2)
For B gas, mean square velocity
...(3)
From (1) and (2),
So,
= 0.67
The correct answer is: 0.67
For gas A, x component of mean square velocity of molecule = w2 ...(1)
∴ Mean square velocity =
...(2)For B gas, mean square velocity
...(3)From (1) and (2),
So,
= 0.67
The correct answer is: 0.67
Most Upvoted Answer
N molecule each of mass m of gas A and 2N molecules each of mass 2m of...
Given information:
- The vessel contains N molecules of gas A, each with mass m.
- The vessel contains 2N molecules of gas B, each with mass 2m.
- The temperature of the vessel is T.
- The mean square of velocity of molecules of gas B is v^2.
- The mean square of the x component of velocity of molecules of gas A is w^2.
Calculating the mean square velocity:
The mean square velocity of a gas molecule is given by the equation:
v^2 = (3kT) / m
For gas A:
Number of molecules = N
Mass of each molecule = m
Mean square velocity = w^2
For gas B:
Number of molecules = 2N
Mass of each molecule = 2m
Mean square velocity = v^2
Calculating w^2:
Using the equation for mean square velocity, we can find w^2 for gas A:
w^2 = (3kT) / m
Calculating v^2:
Using the equation for mean square velocity, we can find v^2 for gas B:
v^2 = (3kT) / (2m)
Calculating the ratio w^2/v^2:
Substituting the values of w^2 and v^2 into the ratio equation, we get:
w^2/v^2 = [(3kT) / m] / [(3kT) / (2m)]
Simplifying the equation:
w^2/v^2 = 2m/m
Cancelling out the common term 'm':
w^2/v^2 = 2
Final result:
The ratio w^2/v^2 is equal to 2.
However, the correct answer given is 0.67. This suggests that there may have been a mistake in the question or in the calculation. It is recommended to double-check the given information and the calculation to ensure accuracy.
- The vessel contains N molecules of gas A, each with mass m.
- The vessel contains 2N molecules of gas B, each with mass 2m.
- The temperature of the vessel is T.
- The mean square of velocity of molecules of gas B is v^2.
- The mean square of the x component of velocity of molecules of gas A is w^2.
Calculating the mean square velocity:
The mean square velocity of a gas molecule is given by the equation:
v^2 = (3kT) / m
For gas A:
Number of molecules = N
Mass of each molecule = m
Mean square velocity = w^2
For gas B:
Number of molecules = 2N
Mass of each molecule = 2m
Mean square velocity = v^2
Calculating w^2:
Using the equation for mean square velocity, we can find w^2 for gas A:
w^2 = (3kT) / m
Calculating v^2:
Using the equation for mean square velocity, we can find v^2 for gas B:
v^2 = (3kT) / (2m)
Calculating the ratio w^2/v^2:
Substituting the values of w^2 and v^2 into the ratio equation, we get:
w^2/v^2 = [(3kT) / m] / [(3kT) / (2m)]
Simplifying the equation:
w^2/v^2 = 2m/m
Cancelling out the common term 'm':
w^2/v^2 = 2
Final result:
The ratio w^2/v^2 is equal to 2.
However, the correct answer given is 0.67. This suggests that there may have been a mistake in the question or in the calculation. It is recommended to double-check the given information and the calculation to ensure accuracy.
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N molecule each of mass m of gas A and 2N molecules each of mass 2m of gas B are contained in the some vessel at temperature T. The mean square at temperature T. The mean square of the velocity of molecules of gas B is v2 and the mean square of x component of the velocity of molecules of gas A is w2 . The ratio w2/v2upto 2 decimal plane is.Correct answer is '0.67'. Can you explain this answer?
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N molecule each of mass m of gas A and 2N molecules each of mass 2m of gas B are contained in the some vessel at temperature T. The mean square at temperature T. The mean square of the velocity of molecules of gas B is v2 and the mean square of x component of the velocity of molecules of gas A is w2 . The ratio w2/v2upto 2 decimal plane is.Correct answer is '0.67'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about N molecule each of mass m of gas A and 2N molecules each of mass 2m of gas B are contained in the some vessel at temperature T. The mean square at temperature T. The mean square of the velocity of molecules of gas B is v2 and the mean square of x component of the velocity of molecules of gas A is w2 . The ratio w2/v2upto 2 decimal plane is.Correct answer is '0.67'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for N molecule each of mass m of gas A and 2N molecules each of mass 2m of gas B are contained in the some vessel at temperature T. The mean square at temperature T. The mean square of the velocity of molecules of gas B is v2 and the mean square of x component of the velocity of molecules of gas A is w2 . The ratio w2/v2upto 2 decimal plane is.Correct answer is '0.67'. Can you explain this answer?.
N molecule each of mass m of gas A and 2N molecules each of mass 2m of gas B are contained in the some vessel at temperature T. The mean square at temperature T. The mean square of the velocity of molecules of gas B is v2 and the mean square of x component of the velocity of molecules of gas A is w2 . The ratio w2/v2upto 2 decimal plane is.Correct answer is '0.67'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about N molecule each of mass m of gas A and 2N molecules each of mass 2m of gas B are contained in the some vessel at temperature T. The mean square at temperature T. The mean square of the velocity of molecules of gas B is v2 and the mean square of x component of the velocity of molecules of gas A is w2 . The ratio w2/v2upto 2 decimal plane is.Correct answer is '0.67'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for N molecule each of mass m of gas A and 2N molecules each of mass 2m of gas B are contained in the some vessel at temperature T. The mean square at temperature T. The mean square of the velocity of molecules of gas B is v2 and the mean square of x component of the velocity of molecules of gas A is w2 . The ratio w2/v2upto 2 decimal plane is.Correct answer is '0.67'. Can you explain this answer?.
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