The second law of thermodynamics is a fundamental law of science. In this problem, we consider the thermodynamics of an ideal gas, phase transition, and chemical equilibrium. Three moles of $$CO2$$ gas expands isothermally (in$$ thermal contact with the surroundings; temperature $$=$$ $$15.0$$°$$C) against volume fixed external pressure of $$1.00$$ bar. The initial and final volume of the gas are $$10.0$$ L and $$30.0$$ L, respectively.Select the correct order of the entropy change. Assuming $$CO2$$ to be an ideal gas, ∆sys S is Δsurr S is

Question

The second law of thermodynamics is a fundamental law of science. In this problem, we consider the thermodynamics of an ideal gas, phase transition, and chemical equilibrium. Three moles of $$CO2$$ gas expands isothermally (in$$ thermal contact with the surroundings; temperature $$=$$ $$15.0$$°$$C) against volume fixed external pressure of $$1.00$$ bar. The initial and final volume of the gas are $$10.0$$ L and $$30.0$$ L, respectively.Select the correct order of the entropy change. Assuming $$CO2$$ to be an ideal gas, ∆sys S is Δsurr S is

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In expansion of CO, gas molecule, entropy of system Δsys S increases or Δsys S>$$0$$ and entropy of surrounding decreases  Δsurr S<$$0$$.  $$-$$ Work done $$=q=nRT$$ $$lnV2V1=3$$×$$8.314$$×$$288.15$$×ln⁡$$3010$$∴Δ$$S=qT$$ or Δsys $$S=3$$×$$8.314$$×$$288.15$$×ln⁡$$3010288.15=27.4JK$$−$$1$$.entropy of surroundings should be less than zero

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