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The value of the de-Broglie wavelength of He gas at 100 K is 5 times that of the de-Broglie wavelength gas X, at 1250 K. What is atomic mass of X?
Most Upvoted Answer
The value of the de-Broglie wavelength of He gas at 100 K is 5 times t...
Calculation of Atomic Mass of Gas X
Given:
Formula:
De-Broglie wavelength (λ) = h/p
where h is Planck's constant and p is momentum
Calculation:
Let us first calculate the De-Broglie wavelength of He gas at 100 K.
De-Broglie wavelength of He gas (λ1) = h/(√(2*m*kb*T))
where m is the mass of He atom, kb is the Boltzmann constant, and T is the temperature in Kelvin
De-Broglie wavelength of Gas X (λ2) = h/(√(2*M*kb*T))
where M is the mass of Gas X atom
Given that λ1 = 5 * λ2
So, h/(√(2*m*kb*T)) = 5 * h/(√(2*M*kb*T))
Simplifying the above equation, we get
M/m = 25
Therefore, the atomic mass of Gas X is 25 times the atomic mass of He.
This means that Gas X could be Neon (Ne), which has an atomic mass of 20 u, or Argon (Ar), which has an atomic mass of 40 u.
Given:
- Temperature of He gas = 100 K
- Temperature of Gas X = 1250 K
- De-Broglie wavelength of He gas = 5 * De-Broglie wavelength of Gas X
Formula:
De-Broglie wavelength (λ) = h/p
where h is Planck's constant and p is momentum
Calculation:
Let us first calculate the De-Broglie wavelength of He gas at 100 K.
De-Broglie wavelength of He gas (λ1) = h/(√(2*m*kb*T))
where m is the mass of He atom, kb is the Boltzmann constant, and T is the temperature in Kelvin
De-Broglie wavelength of Gas X (λ2) = h/(√(2*M*kb*T))
where M is the mass of Gas X atom
Given that λ1 = 5 * λ2
So, h/(√(2*m*kb*T)) = 5 * h/(√(2*M*kb*T))
Simplifying the above equation, we get
M/m = 25
Therefore, the atomic mass of Gas X is 25 times the atomic mass of He.
This means that Gas X could be Neon (Ne), which has an atomic mass of 20 u, or Argon (Ar), which has an atomic mass of 40 u.
Community Answer
The value of the de-Broglie wavelength of He gas at 100 K is 5 times t...
Is it 8g?? i used formula of root mean square speed √3rt/m in formula
wavelength=h/mv
wavelength=h/mv
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The value of the de-Broglie wavelength of He gas at 100 K is 5 times that of the de-Broglie wavelength gas X, at 1250 K. What is atomic mass of X?
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The value of the de-Broglie wavelength of He gas at 100 K is 5 times that of the de-Broglie wavelength gas X, at 1250 K. What is atomic mass of X? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The value of the de-Broglie wavelength of He gas at 100 K is 5 times that of the de-Broglie wavelength gas X, at 1250 K. What is atomic mass of X? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The value of the de-Broglie wavelength of He gas at 100 K is 5 times that of the de-Broglie wavelength gas X, at 1250 K. What is atomic mass of X?.
The value of the de-Broglie wavelength of He gas at 100 K is 5 times that of the de-Broglie wavelength gas X, at 1250 K. What is atomic mass of X? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The value of the de-Broglie wavelength of He gas at 100 K is 5 times that of the de-Broglie wavelength gas X, at 1250 K. What is atomic mass of X? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The value of the de-Broglie wavelength of He gas at 100 K is 5 times that of the de-Broglie wavelength gas X, at 1250 K. What is atomic mass of X?.
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