Question:
The First law of thermodynamics is mathematically stated as
The First law of thermodynamics is mathematically stated as
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Heat In ($Q$) = Internal Energy Gain ($E$) + Work Done ($W$).
Updated On: Jul 4, 2026
- $dQ=dE-dW$
- $dE=dW+dQ$
- $dH=dW+dQ$
- $dQ=dE+dW$
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The Correct Option is D
Solution and Explanation
Step 1: Concept
The First Law of Thermodynamics is a version of the law of conservation of energy, adapted for thermodynamic systems.
Step 2: Meaning
It states that the total energy supplied to a system as heat is equal to the increase in its internal energy plus the work done by the system.
Step 3: Analysis
Let $dQ$ be heat supplied, $dE$ (or $dU$) be the change in internal energy, and $dW$ be work done by the system. The balance is $dQ = dE + dW$.
Step 4: Conclusion
This mathematical expression represents the standard formulation where energy entering as heat is accounted for by internal change and external work. Final Answer: (D)
The First Law of Thermodynamics is a version of the law of conservation of energy, adapted for thermodynamic systems.
Step 2: Meaning
It states that the total energy supplied to a system as heat is equal to the increase in its internal energy plus the work done by the system.
Step 3: Analysis
Let $dQ$ be heat supplied, $dE$ (or $dU$) be the change in internal energy, and $dW$ be work done by the system. The balance is $dQ = dE + dW$.
Step 4: Conclusion
This mathematical expression represents the standard formulation where energy entering as heat is accounted for by internal change and external work. Final Answer: (D)
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