Assertion A : If dQ and dW represent the heat supplied to the system and the work done on the system respectively. Then according to the first law of thermodynamics dQ=dU−dW.Reason R : First law of thermodynamics is based on law of conservation of energy.In the light of the above statements, choose the correct answer from the option given below :A is correct but R is not correctA is not correct but R is correctBoth A and R are correct and R is the correct explanation of ABoth A and R are correct but R is not the correct explanation of A
Question
Assertion A : If dQ and dW represent the heat supplied to the system and the work done on the system respectively. Then according to the first law of thermodynamics dQ=dU−dW.Reason R : First law of thermodynamics is based on law of conservation of energy.In the light of the above statements, choose the correct answer from the option given below :A is correct but R is not correctA is not correct but R is correctBoth A and R are correct and R is the correct explanation of ABoth A and R are correct but R is not the correct explanation of A
Solution
Both A and R are correct and R is the correct explanation of A.
Explanation: The first law of thermodynamics, also known as Law of Conservation of Energy, states that energy cannot be created or destroyed in an isolated system. The total amount of energy and matter in the Universe remains constant, merely changing from one form to another.
In the context of thermodynamics, the first law (dQ = dU + dW) states that the change in internal energy (dU) of a system is equal to the heat added to the system (dQ) minus the work done by the system on its surroundings (dW). This is essentially a restatement of the law of conservation of energy for thermodynamic systems.
Therefore, both Assertion A and Reason R are correct, and Reason R is the correct explanation of Assertion A.
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