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A mass m of a liquid at temperature T1 is mixed with an equal mass of same liquid at temperature T2. The system is thermally insulated. show that the entropy change of the universe is. *?
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A mass m of a liquid at temperature T1 is mixed with an equal mass of ...
Entropy Change of the Universe in Mixing Equal Masses of Liquid
Initial State:
- Mass of liquid at temperature T1 = m
- Mass of liquid at temperature T2 = m
- Total mass = 2m
- System is thermally insulated
Entropy Change:
- Entropy change of the universe can be calculated using the formula: ΔS = ΔS1 + ΔS2
- ΔS1 = m * c * ln(Tf/T1) where c is the specific heat capacity of the liquid and Tf is the final temperature after mixing
- ΔS2 = m * c * ln(Tf/T2)
- Since the system is thermally insulated, there is no heat exchange with the surroundings, and the total entropy change is 0
Final State:
- The final temperature Tf can be calculated using the principle of energy conservation: m * c * (Tf - T1) + m * c * (Tf - T2) = 0
- Solving the equation, we get Tf = (T1 + T2) / 2
Conclusion:
- The entropy change of the universe when equal masses of liquid at different temperatures are mixed in a thermally insulated system is 0, as there is no net change in entropy due to the absence of heat exchange with the surroundings.
Initial State:
- Mass of liquid at temperature T1 = m
- Mass of liquid at temperature T2 = m
- Total mass = 2m
- System is thermally insulated
Entropy Change:
- Entropy change of the universe can be calculated using the formula: ΔS = ΔS1 + ΔS2
- ΔS1 = m * c * ln(Tf/T1) where c is the specific heat capacity of the liquid and Tf is the final temperature after mixing
- ΔS2 = m * c * ln(Tf/T2)
- Since the system is thermally insulated, there is no heat exchange with the surroundings, and the total entropy change is 0
Final State:
- The final temperature Tf can be calculated using the principle of energy conservation: m * c * (Tf - T1) + m * c * (Tf - T2) = 0
- Solving the equation, we get Tf = (T1 + T2) / 2
Conclusion:
- The entropy change of the universe when equal masses of liquid at different temperatures are mixed in a thermally insulated system is 0, as there is no net change in entropy due to the absence of heat exchange with the surroundings.
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A mass m of a liquid at temperature T1 is mixed with an equal mass of ...
Constant?
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A mass m of a liquid at temperature T1 is mixed with an equal mass of same liquid at temperature T2. The system is thermally insulated. show that the entropy change of the universe is. *?
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A mass m of a liquid at temperature T1 is mixed with an equal mass of same liquid at temperature T2. The system is thermally insulated. show that the entropy change of the universe is. *? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A mass m of a liquid at temperature T1 is mixed with an equal mass of same liquid at temperature T2. The system is thermally insulated. show that the entropy change of the universe is. *? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A mass m of a liquid at temperature T1 is mixed with an equal mass of same liquid at temperature T2. The system is thermally insulated. show that the entropy change of the universe is. *?.
A mass m of a liquid at temperature T1 is mixed with an equal mass of same liquid at temperature T2. The system is thermally insulated. show that the entropy change of the universe is. *? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A mass m of a liquid at temperature T1 is mixed with an equal mass of same liquid at temperature T2. The system is thermally insulated. show that the entropy change of the universe is. *? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A mass m of a liquid at temperature T1 is mixed with an equal mass of same liquid at temperature T2. The system is thermally insulated. show that the entropy change of the universe is. *?.
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