1. (25 points) (a) (5 points) State Henry\'s Law and the condition(s) under whic
ID: 104271 • Letter: 1
Question
1. (25 points) (a) (5 points) State Henry's Law and the condition(s) under which it is valid (b) (10 points) The following table gives the mole fraction of methylbenzene (A) in liquid and gaseous mixtures (x and y,respectively) with butanone at equilibrium at 303.15 K and a total the corresponding total pressures, p 0.0898 0.2476 0.3577 05194 0.6036 0.7188 0.8019 0.9105 1.0000 0 00110 01154 01762 02772 0.393 0450 05435 07284 1.000 p/kPa 36.066 34.121 30.900 28.626 25.239 23402 20.6984 18592 15.496 12.295 Assuming the vapor behaves as a perfect gas: i. Calculate the partial pressures of each component. ii. With the use of Excel, plot the partial pressures with their respective mole fractions in the liquid mixture. Correctly and completely label the graphs and attach a printed copy to your answer booklet. ili. Use the graphs generated to determine Henry's law constants for the two components (c) (10 points) Over narrow ranges oftemperature and pressure, the differential expression for the volume of a fluid as a function of temperature and pressure can be integrated to obtain: V=K ee Te-K p (aandKare the thermal expansivity and isothermal compressibility respectively). Show that Vis a state function. i· ii. What is the relevance of a function being a state function? 9Explanation / Answer
Henry law states that –
"At a constant temperature, the amount of a given gas that dissolves in a given type and volume of liquid is directly proportional to the partial pressure of that gas in equilibrium with that liquid."
Another statement of this law is that---
“The solubility of a gas in a liquid is directly proportional to the partial pressure of the gas above the liquid”
C=k Pgas
Where, C is the solubility of a gas, k is Henry's law constant. And Pgas is the partial pressure of the gas.
The conditions under it is valid is:
a) The molecules are at equilibrium. B) at low pressures of the gas. C) No chemical reaction should happen between the solute and solvent.
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