Four distinct vessels (each with a different capacity) hold 2.3 moles of a particular gas each. Which system has the highest total entropy? A. 1.0 L B. 0.2 L C. 0.15 L D. 0.5 L
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Step 1: Calculate the entropy of each system using the formula for entropy, S = nRln(V), where n is the number of moles of gas, R is the ideal gas constant, and V is the volume of the vessel. Show more…
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Madhur L.
For each of the following pairs, indicate which substance possesses the larger standard entropy: (a) $1 \mathrm{~mol}$ of $\mathrm{P}_{4}(g)$ at $300^{\circ} \mathrm{C}, 0.01 \mathrm{~atm},$ or $1 \mathrm{~mol}$ of $\mathrm{As}_{4}(g)$ at $300^{\circ} \mathrm{C}, 0.01 \mathrm{~atm} ;$ (b) $1 \mathrm{~mol}$ of $\mathrm{H}_{2} \mathrm{O}(g)$ at $100^{\circ} \mathrm{C}, 1 \mathrm{~atm},$ or $1 \mathrm{~mol}$ of $\mathrm{H}_{2} \mathrm{O}(l)$ at $100^{\circ} \mathrm{C}, 1 \mathrm{~atm} ;$ (c) $0.5 \mathrm{~mol}$ of $\mathrm{N}_{2}(g)$ at $298 \mathrm{~K}, 20-\mathrm{L}$ volume, or $0.5 \mathrm{~mol} \mathrm{CH}_{4}(g)$ at $298 \mathrm{~K}, 20-\mathrm{L}$ volume; (d) $100 \mathrm{~g} \mathrm{Na}_{2} \mathrm{SO}_{4}(s)$ at $30^{\circ} \mathrm{C}$ or $100 \mathrm{~g} \mathrm{Na}_{2} \mathrm{SO}_{4}(a q)$ at $30^{\circ} \mathrm{C}$
For each of the following pairs, predict which substance possesses the larger entropy per mole: (a) 1 1 mol of $\mathrm{O}_{2}(g)$ at $300^{\circ} \mathrm{C}, 0.01$ atm, or 1 $\mathrm{mol}$ of $\mathrm{O}_{3}(g)$ at $300^{\circ} \mathrm{C}, 0.01$ atm; (b) 1 $\mathrm{mol}$ of $\mathrm{H}_{2} \mathrm{O}(g)$ at $100^{\circ} \mathrm{C}, 1 \mathrm{atm},$ or 1 $\mathrm{mol}$ of $\mathrm{H}_{2} \mathrm{O}(l)$ at $100^{\circ} \mathrm{C}, 1$ atm; $(\mathbf{c}) 0.5 \mathrm{mol}$ of $\mathrm{N}_{2}(g)$ at $298 \mathrm{K}, 20 \mathrm{-L}$ volume, or 0.5 $\mathrm{mol} \mathrm{CH}_{4}(g)$ at $298 \mathrm{K}, 20-\mathrm{volume} ;(\mathbf{d}) 100 \mathrm{g} \mathrm{Na}_{2} \mathrm{SO}_{4}(s)$ at $30^{\circ} \mathrm{C}$ or 100 $\mathrm{g} \mathrm{Na}_{2} \mathrm{SO}_{4}(a q)$ at $30^{\circ} \mathrm{C} .$
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