SOLUTION TO HOMEWORK #7 10.1-1 a.In order to solve this problem, we need to know what happens at the bubble point; at this point, the first bubble is formed, so we can assume that all of the number of moles for the components in the gas phase are close to zero (yet there is an equilibrium). Therefore, we use the compositions given in the problem statement and we assume they are the compositions of the liquid. (x=z, z being the composition given). xET=0.05xP=0.10xNB=0.40xMP=0.45Now, we know, from Raoult’s law that: yi=xiPivapPand from the problem statement we know that the pressure is 5 bar. Therefore, we proceed to calculate the bubble point temperature. The way the bubble point temperature is done is by doing the following. We also know that: yii∑=1 and therefore, substituting 1vapiiiiix PyP==∑∑Therefore: 1=xETPETvap+xPPPvap+xNBPNBvap+xMPPMPvapPNow, we do the following: 1=xET10−AT()+B⎡ ⎣ ⎢ ⎤ ⎦ ⎥ ET+xP10−AT()+B⎡ ⎣ ⎢ ⎤ ⎦ ⎥ P+xNB10−AT()+B⎡ ⎣ ⎢ ⎤ ⎦ ⎥ NB+xMP10−AT()+B⎡ ⎣ ⎢ ⎤ ⎦ ⎥ MPP
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