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September 13th, 2019, 04:41 AM  #1 
Newbie Joined: Jan 2019 From: Australia Posts: 10 Thanks: 0  How can probability theory solve the most complicated problems of five unknowns?
Greetings to All! How to solve such a difficult task? Perhaps there are complex theorems that only enlightened minds can understand? Value: q; w; u; h; m; Is known Value: A; B; C; D; E; Unknown Value: X; The same q = X * A w = X * B u = X * C h = X * D m = X * E Need to find Value: X; 
September 13th, 2019, 05:41 AM  #2 
Senior Member Joined: Jun 2019 From: USA Posts: 220 Thanks: 94 
There is no unique solution. Easy way to tell is that you have six unknowns and only five equations. Let's say q = heat transfer, w = work done, u = internal energy, h = enthalpy, m = mass of steam going through a power plant, where A, B, C, D, and E are the heat transfer rate, power, internal energy flux, enthalpy flux, and mass flux. X is then time. If you know q, and you know how much time X it took for that to occur, you can solve for the rate A, and then you can solve for B, C, D, and E, as well. Conversely, if you know A and q, you can calculate the amount of time X that was necessary. But every value of X is valid and will produce a different set of {A,B,C,D,E}. There is no unique solution if all six are unknown. The best you can do is express things as ratios. X = q/A, A/B = q/w, etc. 

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