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A solid metallic cube of heat capacity S is at temperature 300K . It is brought in contact with a reservoir at 600K. If the heat transfer takes place only between the reservoir and cube, entropy change after reaching the thermal equilibrium is?
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A solid metallic cube of heat capacity S is at temperature 300K . It i...
Understanding the System
When a solid metallic cube with heat capacity S at 300K is placed in contact with a reservoir at 600K, heat transfer occurs from the reservoir to the cube until thermal equilibrium is achieved.
Heat Transfer
- The heat absorbed by the cube can be calculated using the formula:
- Q = S * (Tf - Ti)
- Where Tf is the final temperature and Ti is the initial temperature.
- In this case, Tf will be 600K (the temperature of the reservoir), and Ti is 300K.
Calculating Heat Absorbed by the Cube
- Therefore, the heat absorbed by the cube is:
- Q = S * (600K - 300K) = S * 300K
Entropy Change of the Cube
- The entropy change (ΔS_cube) of the cube can be calculated using the formula:
- ΔS_cube = Q / T_avg
- T_avg is the average temperature during the heating process.
- For the cube, the average temperature can be approximated as:
- T_avg = (Ti + Tf) / 2 = (300K + 600K) / 2 = 450K
- Thus,
- ΔS_cube = (S * 300K) / 450K = (2/3)S
Entropy Change of the Reservoir
- The entropy change (ΔS_reservoir) for the reservoir is:
- ΔS_reservoir = -Q / T_reservoir
- = - (S * 300K) / 600K = - (1/2)S
Total Entropy Change
- The total entropy change (ΔS_total) of the system is:
- ΔS_total = ΔS_cube + ΔS_reservoir
- = (2/3)S - (1/2)S
- = (1/6)S
In conclusion, the total entropy change after the system reaches thermal equilibrium is (1/6)S.
When a solid metallic cube with heat capacity S at 300K is placed in contact with a reservoir at 600K, heat transfer occurs from the reservoir to the cube until thermal equilibrium is achieved.
Heat Transfer
- The heat absorbed by the cube can be calculated using the formula:
- Q = S * (Tf - Ti)
- Where Tf is the final temperature and Ti is the initial temperature.
- In this case, Tf will be 600K (the temperature of the reservoir), and Ti is 300K.
Calculating Heat Absorbed by the Cube
- Therefore, the heat absorbed by the cube is:
- Q = S * (600K - 300K) = S * 300K
Entropy Change of the Cube
- The entropy change (ΔS_cube) of the cube can be calculated using the formula:
- ΔS_cube = Q / T_avg
- T_avg is the average temperature during the heating process.
- For the cube, the average temperature can be approximated as:
- T_avg = (Ti + Tf) / 2 = (300K + 600K) / 2 = 450K
- Thus,
- ΔS_cube = (S * 300K) / 450K = (2/3)S
Entropy Change of the Reservoir
- The entropy change (ΔS_reservoir) for the reservoir is:
- ΔS_reservoir = -Q / T_reservoir
- = - (S * 300K) / 600K = - (1/2)S
Total Entropy Change
- The total entropy change (ΔS_total) of the system is:
- ΔS_total = ΔS_cube + ΔS_reservoir
- = (2/3)S - (1/2)S
- = (1/6)S
In conclusion, the total entropy change after the system reaches thermal equilibrium is (1/6)S.
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A solid metallic cube of heat capacity S is at temperature 300K . It is brought in contact with a reservoir at 600K. If the heat transfer takes place only between the reservoir and cube, entropy change after reaching the thermal equilibrium is?
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A solid metallic cube of heat capacity S is at temperature 300K . It is brought in contact with a reservoir at 600K. If the heat transfer takes place only between the reservoir and cube, entropy change after reaching the thermal equilibrium is? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about A solid metallic cube of heat capacity S is at temperature 300K . It is brought in contact with a reservoir at 600K. If the heat transfer takes place only between the reservoir and cube, entropy change after reaching the thermal equilibrium is? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A solid metallic cube of heat capacity S is at temperature 300K . It is brought in contact with a reservoir at 600K. If the heat transfer takes place only between the reservoir and cube, entropy change after reaching the thermal equilibrium is?.
A solid metallic cube of heat capacity S is at temperature 300K . It is brought in contact with a reservoir at 600K. If the heat transfer takes place only between the reservoir and cube, entropy change after reaching the thermal equilibrium is? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about A solid metallic cube of heat capacity S is at temperature 300K . It is brought in contact with a reservoir at 600K. If the heat transfer takes place only between the reservoir and cube, entropy change after reaching the thermal equilibrium is? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A solid metallic cube of heat capacity S is at temperature 300K . It is brought in contact with a reservoir at 600K. If the heat transfer takes place only between the reservoir and cube, entropy change after reaching the thermal equilibrium is?.
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