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Alcohol Policy

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Submitted By neerajmeena29
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CHAPTER 2
2.3)
[pic]
[pic][pic]
[pic]
[pic] ( [pic], [pic]
At T = 0 K, S = 0 J/K ( the slope of the G versus T curve at T = 0 is zero.
[pic] (2.3-1)
Where, [pic].
As CP is always positive (i.e. when heat is supplied the temperature of all materials increases), the RHS of equation (2.3-1) is negative. This implies that the curvature of the G versus T curve ([pic]) is negative (convex upwards).

[pic]
2.4)
Data: [pic]
There are N0 sites and N0/2 A atoms and N0/2 B atoms have to positioned into these sites.
[pic] (2.4-1)
The initial configurational entropy of solid A and Solid B (unmixed) is zero. This is because the atoms of solid A (and similarly solid B) are indistinguishable and hence these A and B atoms in a lattice of N0/2 sites represent just one configurational state, which implies that the entropy is zero (equation 2.4-1).
( [pic] = [pic] = [pic]
[pic][pic][pic][pic]
[pic][pic]
2.6)
Given: Q: (i) 100 KJ/mole, (ii) 200 KJ/mole
Let: R be the reaction rate
[pic], [pic][pic]
T required to double reaction rate:
[pic], [pic]
(i) Q = 100 KJ/mole
[pic][pic]( an increase of [pic] in temperature.
(ii) Q = 200 KJ/mole
[pic][pic][pic]( an increase of [pic] in temperature.
This appears somewhat contra-intuitive- but this is related to starting value of doubling (i.e. 1 ( 2 is doubling; so is 100(200!).
2.10)
Using the formula for configurational entropy and the Stirling’s approximation:
[pic][pic]
[pic]
[pic]
[pic] (equation 2.12 in the book)
[pic][pic], [pic]
[pic]
[pic], assuming that the first term is well behaved (as expected to be) the [pic]. This implies that in a (G versus n curve the slope tends to -( as n ( 0 (i.e. a very uphill task of removing the last traces of impurities during purification of a meterial.
Issues related to the above solution: 1) Is Stirling’s approximation valid for small n? 2)

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