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FOLLOW-UP PROBLEM 20.7 Determining the Effect of Temperature on AG A reaction is nonspontaneous at room temperature but is spontaneous at 500°C. What can you say about the signs and relative magnitudes of AG, AH, AS, and -TAS? At higher temperatures determine the signs for the following AG is Select HINTS AH is Select Getting Started AS is Select TAS is Select The AH value becomes Select than the -TAS value.1) positive, greater than 0 OR negative, less than 0

2) positive, greater than 0 OR negative, less than 0

3) positive, greater than 0 OR negative, less than 0

4) positive, greater than 0 OR negative, less than 0

5) smaller, larger, smaller or larger depending on temp.

  

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Answer #1

\Delta G = \Delta H - T\Delta S

Since the reaction is spontaneous at higher temperature, \DeltaG is negative. SO, for the reaction to be spontaneous heat energy must be reuired, as a result of which, the reaction is endothermic in nature and hence, \DeltaH must be positive. More over, a higher temperature leads to increase in entropy and hence \DeltaS must be positive.

At higher temperature, the reaction is spontneous when,

\DeltaG = negative   \DeltaH= positive \DeltaS = positive

Since, \Delta G = \Delta H - T\Delta S

\DeltaG will be negative only when, \DeltaH is greater than T\DeltaS

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