Question
Se mezcla una solucin salina de concentracin 2 lb/gal, con otra solucin de 300 gal de salmuera (agua + sal) contenida en un tanque, si
- Se mezcla una solucin salina de concentracin 2 lb/gal, con otra solucin de 300 gal de salmuera (agua + sal) contenida en un tanque, si la primera solucin entra a 3 gal/min. Cuando la solucin est bien mezclada, sale con la misma rapidez con la que entra. Si haba 50 lb de sal inicialmente disueltas en los 300 gal del tanque.
- Obtenga el balance de masa en estado transitorio.
- Obtenga las condiciones frontera para resolver el balance.
- Resuelva el modelo y obtenga la funcin que exprese la cantidad de sal A(t) en funcin del tiempo dentro del tanque.
- Grafique la funcin A(t) para un rango amplio de valores.
- Cunta sal habr en el tanque en los siguientes perodos de tiempo?
- 50 min
- 100 min
- 150 min
- 200 min
- 300 min
- 400 min
- Un perodo de tiempo muy largo.
- Repita el problema anterior si la solucin del caso anterior se bombea hacia afuera a razn de 2 gal/min, pero entra a 3 gal/min.
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A saline solution of concentration 2 lb/gal is mixed with another solution of 300 gal of brine (water + salt) contained in a tank, if the first solution enters at 3 gal/min. When the solution is well mixed, it comes out as fast as it goes in. If there were 50 lbs of salt initially dissolved in the 300 gal tank. A. Obtain the mass balance in the transient state. B. Obtain the boundary conditions to solve for the balance. C. Solve the model and obtain the function that expresses the amount of salt A(t) as a function of time inside the tank. D. Graph the function A(t) for a wide range of values. E. How much salt will be in the tank in the following time periods? a) 50 minutes b) 100 minutes c) 150 minutes d) 200 min d) 300 min f) 400 min g) A very long period of time.
2. Repeat the previous problem if the solution from the previous case is pumped out at a rate of 2 gal/min, but enters at 3 gal/min.
razn de entrada de la salmuera razn de entrada de la salmueraStep by Step Solution
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