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A system absorb 1.2×10^3 k cal of heat and does work 1.7×10^7 J . Calculate the change in the internal energy of the system. Given mechanical equivalent of heat J = 4.186 J/cal?
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A system absorb 1.2×10^3 k cal of heat and does work 1.7×10^7 J . Calc...
Given:
- Heat absorbed by the system = 1.2×10^3 k cal
- Work done by the system = 1.7×10^7 J
- Mechanical equivalent of heat = 4.186 J/cal
To Find:
Change in the internal energy of the system
Explanation:
The change in the internal energy of a system can be determined using the first law of thermodynamics, which states that the change in the internal energy of a system is equal to the heat added to the system minus the work done by the system.
Formula:
Change in internal energy (ΔU) = Heat absorbed (Q) - Work done (W)
Calculations:
1. Convert the heat absorbed from kcal to J.
Heat absorbed (Q) = 1.2×10^3 kcal × 4.186 J/cal
= 5.0232×10^3 kJ
2. Plug the values into the formula to calculate the change in internal energy.
ΔU = Q - W
= 5.0232×10^3 kJ - 1.7×10^7 J
3. Convert the units to a common unit (J) before performing the subtraction.
ΔU = 5.0232×10^3 kJ - 1.7×10^7 J
= 5.0232×10^3 kJ - 1.7×10^7 J
= -1.1977×10^7 J
Answer:
The change in the internal energy of the system is -1.1977×10^7 J.
- Heat absorbed by the system = 1.2×10^3 k cal
- Work done by the system = 1.7×10^7 J
- Mechanical equivalent of heat = 4.186 J/cal
To Find:
Change in the internal energy of the system
Explanation:
The change in the internal energy of a system can be determined using the first law of thermodynamics, which states that the change in the internal energy of a system is equal to the heat added to the system minus the work done by the system.
Formula:
Change in internal energy (ΔU) = Heat absorbed (Q) - Work done (W)
Calculations:
1. Convert the heat absorbed from kcal to J.
Heat absorbed (Q) = 1.2×10^3 kcal × 4.186 J/cal
= 5.0232×10^3 kJ
2. Plug the values into the formula to calculate the change in internal energy.
ΔU = Q - W
= 5.0232×10^3 kJ - 1.7×10^7 J
3. Convert the units to a common unit (J) before performing the subtraction.
ΔU = 5.0232×10^3 kJ - 1.7×10^7 J
= 5.0232×10^3 kJ - 1.7×10^7 J
= -1.1977×10^7 J
Answer:
The change in the internal energy of the system is -1.1977×10^7 J.
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A system absorb 1.2×10^3 k cal of heat and does work 1.7×10^7 J . Calculate the change in the internal energy of the system. Given mechanical equivalent of heat J = 4.186 J/cal?
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A system absorb 1.2×10^3 k cal of heat and does work 1.7×10^7 J . Calculate the change in the internal energy of the system. Given mechanical equivalent of heat J = 4.186 J/cal? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about A system absorb 1.2×10^3 k cal of heat and does work 1.7×10^7 J . Calculate the change in the internal energy of the system. Given mechanical equivalent of heat J = 4.186 J/cal? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A system absorb 1.2×10^3 k cal of heat and does work 1.7×10^7 J . Calculate the change in the internal energy of the system. Given mechanical equivalent of heat J = 4.186 J/cal?.
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