The code to financial to success has beendissected, deciphered, and laid bare. Now you can be immune to the credit crunch, tumblingstock markets, uncontrollable exchange rates, and rising unemployment. My top secret softwaretailored to perfection exploits unknown loopholes for guaranteed returns. No complex charts,no baffling analysis. In fact, nothing to learn at all. With this plugin trade technologyyou can launch your result on the binary market within 15 minutes or less. At last the nextgeneration of automated binary trading is here.Fellow profit seekers, a few years ago I developed a unique way of making money through binaryoptions which made me a multimillionaire
by the age of just 49. To prove my softwareworked, under the watchful eye of a private hedge fund, I used my formula to bank over$236, 708.43 in just 30 days. Does the sound of making hundreds of thousands of dollarsevery month sound attractiveé Well of course it does. Before I consider letting you inon my top secret trading software, pay attention to what I'm about to reveal on this page.I'll show you exactly how to let this superhuman software run right on your binary account.Enabling you to withdraw your share of the trillions of dollars, pounds, and euros, justwaiting to be collected. Recession proof, crash proof, and fool proof. Auto Binary Signalswill give you the power to siphon off $760
net profit in just 72 seconds.Got your attention yeté Firstly, allow me to introduce myself. I'm Roger Pierce. Nowa days financial experts consider me to be a very successful binary trader but I've notalways been the expert I am today. I'm here to be nothing but upfront and honest withyou with my trading past and present so you can make an informed decision on whether thisunique automated binary opportunity is the one for you. I started out in 1982, graduatingwith a first in computer science from the London School of Economics. I got hooked ontrading when I got my first opening with J.P. Morgan. My reputation grew quickly. I achievedmajor success at the time when market conditions
were bullish. I honestly thought I was invincible.How naive I was in hindsight. I worked long grueling hours, partied hard, and still foundtime to get married and have 2 kids. I was on top of the world, then the stock marketcrashed in 87 and it all changed. Black Monday was the largest oneday market crash in history.My portfolio of clients were hit hard as the dow last 22.6% of its value or $500 billiondollars on October 19th 1987. That same week, I ended up in the divorce courts and almostbankrupt with nothing to show for all my hard work or at least I thought so. I switchedjobs and moved to New York, managing financial software for one of the hedge funds on WallStreet. This period away from the trading
floor gave me a different perspective. I couldsee how you could easily get hooked into the trade without understanding the bigger picture.One crucial mistake most traders make is looking for too many trading opportunities. With myriskreward stabilizing system in place, we never have to worry about any of that. Balanceand stability are as important in binary trading that they are in life. I'm not here to makestupid risk that jeopardizes my family's security and neither should you.Now, with Auto Binary Signals producing weekly profits of $59,177.10, just as it makes moneyfor me, it will make money for you day in day out. All the hard work has already beendone for you. Here are just a few of the key
secret inside my incredible trading software.Riskreward stabilizing system, MPMIS MultiIndicator System with trading precision, Supply andDemand price predictor, AutoAdaptive Profit Trade Technology, SuperAccurate 80%100%leading callsPUT Signals. This revolutionary new software will alert you automaticallywith signal notifying you when to trade binary and most importantly where not to. It's asimple oneclick process to tie your trades to perfection. For small outlay, you can convertyour trades lucratively. After trading successfully on the stock market in the 80s, becoming afinancial software consultant in the early 90s, I moved on to managing my own successfulprivate hedge fund in 2002. Investments and
Azeotrope in Binary System Review
In this problem, we have a binary system wherewe've made a measurement of vaporliquid equilibrium at just one composition. So we have the liquidcomposition and the vapor composition, and the saturation pressures and the pressurewhere that vaporliquid equilibrium exists. And so the idea is, from that one measurement,can we predict whether this system has an azeotrope at this temperatureé And then, if so, what'sthe composition of the azeotropeé And we're going to assume, to simplify the calculations but the concept certainly holds in more general we use a simplified form of theMargules equation where there's only one parameter. And so we can calculate this one parameterfrom our vaporliquid equilibrium data. And
the idea, what we're looking at is, we have a system pressure versus mole fractions of component 1 and 2 saturation pressure here is 0.15and the saturation here is 0.35. And we know, when x1 is 0.2, that y1 is 0.5.So essentially, the question is, does this go through a maximum somewhere or noté Whatwe're going to do is first calculate the value of B. So we need the value of B, and we getthat from the vaporliquid equilibrium data. So this is the modified Raoult's law, assumingideal gas because it's low pressure, but clearly the liquid is not ideal. And so we can calculategamma 1 from the information we're given. And so if we look in a thermodynamics textbookfor this modified Raoult's law to save time
we're not going to derive this here thelog of gamma 1 is equal to this constant B times x2 squared. And so we can substitutevalues in here and determine the value of B. So we have the value of B it's dimensionless and in this equation, x1 was 0.2, then x2 of course is 0.8. So the question is, nowif we're going to use this model, is there anywhere in this region we have a maximumpressure azeotrope based on the data that we're looking at and that point, x1 equalsy1. So the question is, does that existé And so if we look at our modified Raoult's law,it means these terms would cancel. And we can write that for both component 1 and component2. Now we have the expression for gamma 1.
Gamma 1 is e times B x2 squared, times P1satequals pressure. And likewise for gamma 2 in terms of x1 squared, P2sat equals P. Sothat means these two terms are equal to each other. And we can substitute in now the numericalvalues. And now our only unknown is the mole fraction, of course we know x1's related tox2. So we can rearrange this and solve for x1. Take the log of both sides, get a littlecloser to our solution so this is log of 0.429. And again I'll substitute and calculatethe values. So there's multiple equations, now we can solve this. A nice way to do itis we can just factor this, then it's simplifies quite a bit because of course this is equalto 1. And so then x2 minus x1 is equal to
0.712. And then I can solve for x1. And sowe get an answer, a numerical value which says yes, we can have an azeotrope at x1 equals0.856 or perhaps, significant figures, 0.86. Now we can check this, we can then solve forthe pressure that's one thing we want to do. Let's do that first. We're going to solvefor the pressure by going back to our equation of x1 gamma 1 P1sat equals y1 times P. Andagain we're at the azeotrope so x1 is y1 and x2 is 0.144 times P1sat, that should giveus the pressure at the azeotrope. We can solve for that, 0.359 bar. This is one check becausethe pressure should be higher than either of the saturation pressures. In other words,if we look at our diagram, if we have an azeotrope,
this pressure should be higher than eitherof the saturation pressures. And indeed we calculate a value for pressure that's higher.We can check also, and I won't go through the calculations, but we can now go back andsubstitute in the azeotrope values to this equation to make sure we get the same pressure.We do that, we get the same pressure. So indeed we have an azeotrope and it corresponds tox1 of 0.86.