For an irreversible adiabatic process carried out for an ideal gas in a CLOSED CONTAINER, number of relations that are CORRECT among the following (Symbols have their usual meanings) (i) Δ S s u rr

Question

For an irreversible adiabatic process carried out for an ideal gas in a CLOSED CONTAINER, number of relations that are CORRECT among the following (Symbols have their usual meanings)

(i) $Δ S_{s u rr} = 0$

(ii) $Δ S_{sys} = 0$

(iii) $Δ S_{t o t a l} = 0$

(iv) $Δ U = W$

(v) $W = \frac{( P _{2} V _{2} - P _{1} V _{1} )}{γ - 1}$

(vi) $P V^{γ} = co n s tan t$

(vi) $Δ U = 0$

TestHub · Accepted Answer

Relations (i), (iv) and (v) are correct. For an adiabatic process, ΔS_surr = 0 and Q = 0, so ΔU = W. For an ideal gas, ΔU = nCv(T₂−T₁) = (P₂V₂−P₁V₁)/(γ−1), which does not require reversibility. PV^γ = constant requires a reversible adiabatic process. Hence the number of correct relations is 3.

Chemistry - Thermodynamics - II Question with Solution | TestHub

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