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Rudiy27
3 years ago
5

The heat of vaporization, ΔHvap of carbon tetrachloride (CCl4) is 43000 J/mol at 25 °C. 1 mol of liquid CCl4 has an entropy of 2

14 J/K. (a) What is the entropy of 1 mole of the vapor at 25 °C or 298 K? (b) How many intensive variables will be required to completely specify the vapor-liquid mixture of CCl4? (45 points)
Chemistry
1 answer:
Alexxandr [17]3 years ago
7 0

Explanation:

(a)    The given data is as follows.

     Temperature (T) = 25^{o}C = (25 + 273) K = 298 K

      \Delta H_{vap} = 43000 J/mol

Since, both the liquid and vapors are at equilibrium. Therefore, change in free energy will be calculated as follows.

      \Delta G_{vap} = \Delta H_{vap} - T \Delta S_{vap} = 0        

            43000 - (298 \times \Delta S_{vap}) = 0

                      \Delta S_{vap} = -144 J/mol K

Negative sign indicates an increase in entropy of the system.

Now, for 1 mole of CCl_{4} is as follows.

     = 144 J/K

So,     S_{vapor} - 214 = 144 J/k

                         = 358 J/K

Therefore, we can conclude that entropy of CCl_{4} vapor is 358 J/K.

(b)  As we know that intensive variable are the variables which do not depend on the amount of a substance.

So, in the given situation only temperature will act as an intensive variable that will be required to completely specify the vapor-liquid mixture of CCl_{4}.

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