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For adiabatic process ΔQ = 0. In free expansion, external pressure is zero. Thus, work done W = 0 and ΔE = W = 0. If ΔE = 0, then ΔT = ?
- (a) ΔT = 0
- (b) ΔT > 0
- (c) ΔT < 0
- (d) ΔT = constant
Correct answer: (a) ΔT = 0
Solution
In a free expansion, no work is done (W = 0), and since the process is adiabatic (ΔQ = 0), the internal energy change (ΔE) is also zero. For an ideal gas, ΔE is directly proportional to ΔT, so ΔT = 0.
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