First law of thermodynamics under adiabatic conditions can be mathematically written as:
Correct answer: D. W = -∆U
- A. Q = W
- B. Q = ∆U
- C. Q= U + W
- D. W = -∆U
Explanation
The First law of thermodynamics is written as:∆Q = ∆U + ∆WIn adiabatic conditions, ∆Q = 0This is because adiabatic conditions imply that there is no heat exchange between the system and its surroundings. Therefore, the heat transferred (∆Q) is zero.So equation will become:0 = ∆U + ∆WRearranging this equation, we get:∆U = -∆WTherefore, the correct option is D) W = -∆U.
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About First Law of Thermodynamics
The first law relates heat supplied, work done and the change in internal energy through energy conservation. Problems use sign conventions and apply the law to isothermal, adiabatic, isobaric and isochoric processes. Internal energy is a state function, while heat and work depend on the path followed.
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