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The entropy of a mixture of ideal gases is the sum of the entropies of constituents evaluated at:
- a)Temperature and pressure of the mixture
- b)Temperature of the mixture and the partial pressure of the constituents
- c)Temperature and volume of the mixture
- d)Pressure and volume of the mixture
Correct answer is option 'C'. Can you explain this answer?
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The entropy of a mixture of ideal gases is the sum of the entropies of...
The entropy of a mixture of ideal gases is equal to the sum of the entropies of the component gases as they exist in the mixture. We employ the Gibbs-Dalton law that says each gas behaves as if it alone occupies the volume of the system at the mixture temperature. That is, the pressure of each component is the partial pressure.
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The entropy of a mixture of ideal gases is the sum of the entropies of...
Entropy of a mixture of ideal gases
The entropy of a mixture of ideal gases can be determined by considering the entropy of the individual constituents.
Temperature and Volume
The entropy of a mixture of ideal gases is a function of temperature and volume. This means that the entropy of each constituent can be evaluated at the temperature and volume of the mixture.
Additive property of entropy
The entropy of a mixture of ideal gases is an additive property. This means that the total entropy of the mixture is equal to the sum of the entropies of the individual constituents.
Formula
Mathematically, this can be expressed as:
S_mix = ∑(S_i(T_mix, V_mix))
Where S_mix is the entropy of the mixture, S_i is the entropy of the ith constituent, T_mix is the temperature of the mixture, and V_mix is the volume of the mixture.
Conclusion
Therefore, option C is the correct answer as the entropy of a mixture of ideal gases is the sum of the entropies of constituents evaluated at temperature and volume of the mixture.
The entropy of a mixture of ideal gases can be determined by considering the entropy of the individual constituents.
Temperature and Volume
The entropy of a mixture of ideal gases is a function of temperature and volume. This means that the entropy of each constituent can be evaluated at the temperature and volume of the mixture.
Additive property of entropy
The entropy of a mixture of ideal gases is an additive property. This means that the total entropy of the mixture is equal to the sum of the entropies of the individual constituents.
Formula
Mathematically, this can be expressed as:
S_mix = ∑(S_i(T_mix, V_mix))
Where S_mix is the entropy of the mixture, S_i is the entropy of the ith constituent, T_mix is the temperature of the mixture, and V_mix is the volume of the mixture.
Conclusion
Therefore, option C is the correct answer as the entropy of a mixture of ideal gases is the sum of the entropies of constituents evaluated at temperature and volume of the mixture.
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The entropy of a mixture of ideal gases is the sum of the entropies of...
Because entropy is only dependent on Temperature and Volume of the system.
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The entropy of a mixture of ideal gases is the sum of the entropies of constituents evaluated at:a)Temperature and pressure of the mixtureb)Temperature of the mixture and the partial pressure of the constituentsc)Temperature and volume of the mixtured)Pressure and volume of the mixtureCorrect answer is option 'C'. Can you explain this answer?
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The entropy of a mixture of ideal gases is the sum of the entropies of constituents evaluated at:a)Temperature and pressure of the mixtureb)Temperature of the mixture and the partial pressure of the constituentsc)Temperature and volume of the mixtured)Pressure and volume of the mixtureCorrect answer is option 'C'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about The entropy of a mixture of ideal gases is the sum of the entropies of constituents evaluated at:a)Temperature and pressure of the mixtureb)Temperature of the mixture and the partial pressure of the constituentsc)Temperature and volume of the mixtured)Pressure and volume of the mixtureCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The entropy of a mixture of ideal gases is the sum of the entropies of constituents evaluated at:a)Temperature and pressure of the mixtureb)Temperature of the mixture and the partial pressure of the constituentsc)Temperature and volume of the mixtured)Pressure and volume of the mixtureCorrect answer is option 'C'. Can you explain this answer?.
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