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The mole of monoatomic gas (lamda=5.3) and one mole of diatomic gas (lamda=7.5) are mixed in equal ratio. Find lamda of mixture. Ans:1.5 how?
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Understanding the Concept of Lambda (λ)
Lambda (λ) represents the degree of freedom in a gas, which influences its specific heat capacities. For monoatomic gases, λ is typically 5/2, while for diatomic gases, it is generally 7/2.
Given Data
- Monoatomic gas: λ₁ = 5.3
- Diatomic gas: λ₂ = 7.5
- Both gases are mixed in equal moles.
Calculating the Lambda of the Mixture
To find the λ of the mixture (λ_mixture), we will use the formula for the weighted average based on the number of moles:
Substituting the Values
Correcting the Result
The provided answer of 1.5 seems to be incorrect based on the above calculation. The correct value of λ_mixture is 6.4.
Conclusion
In summary, by applying the weighted average of the degrees of freedom of the monoatomic and diatomic gases, we determine that the lambda (λ) of the mixture is 6.4, not 1.5. This highlights the importance of carefully applying the formulas in thermodynamics.
Lambda (λ) represents the degree of freedom in a gas, which influences its specific heat capacities. For monoatomic gases, λ is typically 5/2, while for diatomic gases, it is generally 7/2.
Given Data
- Monoatomic gas: λ₁ = 5.3
- Diatomic gas: λ₂ = 7.5
- Both gases are mixed in equal moles.
Calculating the Lambda of the Mixture
To find the λ of the mixture (λ_mixture), we will use the formula for the weighted average based on the number of moles:
- Let n be the number of moles of each gas.
- The total number of moles in the mixture = n (monoatomic) + n (diatomic) = 2n.
- The formula for λ_mixture is given by:
- λ_mixture = (λ₁ * n + λ₂ * n) / (n + n)
Substituting the Values
- λ_mixture = (5.3 * n + 7.5 * n) / (2n)
- λ_mixture = (5.3 + 7.5) / 2
- λ_mixture = 12.8 / 2
- λ_mixture = 6.4
Correcting the Result
The provided answer of 1.5 seems to be incorrect based on the above calculation. The correct value of λ_mixture is 6.4.
Conclusion
In summary, by applying the weighted average of the degrees of freedom of the monoatomic and diatomic gases, we determine that the lambda (λ) of the mixture is 6.4, not 1.5. This highlights the importance of carefully applying the formulas in thermodynamics.
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The mole of monoatomic gas (lamda=5.3) and one mole of diatomic gas (lamda=7.5) are mixed in equal ratio. Find lamda of mixture. Ans:1.5 how?
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The mole of monoatomic gas (lamda=5.3) and one mole of diatomic gas (lamda=7.5) are mixed in equal ratio. Find lamda of mixture. Ans:1.5 how? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The mole of monoatomic gas (lamda=5.3) and one mole of diatomic gas (lamda=7.5) are mixed in equal ratio. Find lamda of mixture. Ans:1.5 how? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The mole of monoatomic gas (lamda=5.3) and one mole of diatomic gas (lamda=7.5) are mixed in equal ratio. Find lamda of mixture. Ans:1.5 how?.
The mole of monoatomic gas (lamda=5.3) and one mole of diatomic gas (lamda=7.5) are mixed in equal ratio. Find lamda of mixture. Ans:1.5 how? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The mole of monoatomic gas (lamda=5.3) and one mole of diatomic gas (lamda=7.5) are mixed in equal ratio. Find lamda of mixture. Ans:1.5 how? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The mole of monoatomic gas (lamda=5.3) and one mole of diatomic gas (lamda=7.5) are mixed in equal ratio. Find lamda of mixture. Ans:1.5 how?.
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