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Consider the following reaction at $298 \mathrm{K}$ : $2 \mathrm{H}_{2}(g)+\mathrm{O}_{2}(g) \longrightarrow 2 \mathrm{H}_{2} \mathrm{O}(l) \quad \Delta H^{\circ}=-571.6 \mathrm{kJ} / \mathrm{mol}$ Calculate $\Delta S_{\text {sys }}, \Delta S_{\text {surr }},$ and $\Delta S_{\text {univ }}$ for the reaction.

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$$1591 J/ k mol$$

Chemistry 102

Chapter 17

Entropy, Free Energy, and Equilibrium

Thermodynamics

Rice University

Drexel University

University of Toronto

Lectures

00:42

In thermodynamics, the zeroth law of thermodynamics states that if two systems are in thermal equilibrium with a third system, they are also in thermal equilibrium with each other.

01:47

A spontaneous process is one in which the total entropy of the universe increases. In a spontaneous process, the system will move from an ordered state to a disordered state, such as from ice to water, or from a solid to a gas. The concept of spontaneity was introduced by Rudolf Clausius in 1850.

04:13

Consider the reaction: $4 …

05:54

Use the $\Delta H_{\mathrm…

05:23

Calculate $\Delta_{i} H^{\…

04:36

Calculate $\Delta_{r} H^{\…

01:48

For a certain chemical rea…

04:04

Calculate $\Delta G^{0}$ a…

01:58

Calculate $\Delta H^{\circ…

So for the reaction, we can get the entropy change for the reaction for the system from these standard interviews in the, uh, appendix three in the back of the book. And so we would take twice the value for water and subtract from it twice the value for hydrogen, plus the value for oxygen. And, uh, having done that, I gotta minus 3 27 jewels for Kellen. And then we can calculate the delta s of the surroundings from the delta h of the system and the temperature. And so we got a pretty large negative because what? We're going from three moles of gas here to two moles of liquid. So yeah, big negative entropy change for the system, but it gives off a huge amount of heat. And so a large positive in tribute change for the surroundings. And of course, we know that hydrogen burns explosively and eso for the tell us of the universe combining Ah, the reaction and thes surroundings. We get a very large positive, uh, entropy change

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