QUESTION 3 [TOTAL MARKS: 25] Q3(a) [10 Marks] Calculate the change in entropies of the system, \( \Delta \mathrm{S}_{\text {sys }} \), and the surroundings, \( \Delta \mathrm{S}_{\text {sur }} \) and the total change in entropy, \( \Delta \mathrm{S}_{\mathrm{tot}} \), when the volume of a sample of argon gas of mass \( 20 \mathrm{~g} \) at \( 298 \mathrm{~K} \) increases from \( 1.20 \mathrm{dm}^{3} \) to \( 4.60 \mathrm{dm}^{3} \) in (i) an isothermal reversible expansion (ii) an isothermal irreversible expansion against \( p_{\mathrm{ex}}=0 \) (iii) an adiabatic reversible expansion.
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(i) Isothermal Reversible Expansion: In an isothermal reversible expansion, the change in entropy of the system can be calculated using the formula: ΔS_sys = nRln(Vf/Vi) where n is the number of moles of gas, R is the gas constant, Vf is the final volume, and Vi Show more…
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