Phase Rule for for a Vapor System. For the system NH-water and only a vapor phas

Question

Phase Rule for for a Vapor System. For the system NH-water and only a vapor phase present, calculate the number of degrees of freedom. What variables can be fixed? 1. 2. Boi For the system benzene-toluene, do as follows using the data in ling Point and Raoult's Law. the following table Vapor-Pressure and Equilibrium-Mole-Fraction Data for Benzene-Toluene System TABLE 11.1-1. Vapor Pressure Mole Fraction Benzene at 101 325 kPa Temperature Benzene Toluene ec kPa mm Hg kPa mm Hg 353.3 80.1 101.32 760 358.2 85 116.9 363.2 90 135.5 1016 54.0 405 368.2 95 155.7 1168 63.3 475 3732 100 179.2 1344 74,3 378.2 105 204.2 1532 86.0 645 383.8 110.6 240.0 1800 101.32 760 1.000 0.780 0.581 0.411 0.258 0.130 1.000 0.900 877 46.0 345 0.632 0.456 0.261 557 At 378.2 K, calculate yA and xA using Raoult's Law. If a mixture has a composition of xA 0.40 and is at 358.2 K and 101.32 kPa pressure, will it boil? If not, at what temperature will it boil and what will the composition of the vapor first coming off? a. b.

Explanation / Answer

1) Phase Rule:

F = C-P+2

Here, C =number of components = 2 (Ammonia and water)

P = Number of Phases= 1 (Vapor Phase)

Degrees of Freedom = F = C-P+2 = 2-1+2 = 1+2 = 3

So, Degrees of Freedom = 3.

Hence, 3 variables can be fixed to determine the state of the system and these variables should be the intrensic properties of the system. Here, Pressure, Temperature and Specific Volume can be the variables (or the intrensic properties of the system) to be fixed which determines its state.

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