Nitric acid is prepared commercially by a series of three chemical reactions. In the first reaction, nitrogen
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- 1 A tank originally contains 100 gal of fresh water. Then water containing - Ib of salt per gallon is poured into the tank at a rate of 2 gal/min, and the mixture is allowed to leave at the same rate. After 10 min the process is stopped, and fresh water is poured into the tank at a rate of 2 gal/min, with the mixture again leaving at the same rate. Find the amount of salt in the tank at the end of an additional 10 min. Round your answer to two decimal places. i Ibsarrow_forwardConsider the mixing process shown in the figure. A mixing chamber initially contains 4 liters of a clear liquid. Clear liquid flows into the chamber at a rate of 10 liters per minute. A dye solution having a concentration of 0.25 kilograms per liter is injected into the mixing chamber at a constant rate of liters per minute. When the mixing process is started, the well-stirred mixture is pumped from the chamber at a rate of 10 + r liters per minute. (a) Develop a mathematical model for the mixing process. Let Q represent the amount of dye in kilograms in the mixture. (dQ/dt)=? (b) The objective is to obtain a dye concentration in the outflow mixture of 0.1 kilograms per liter. What injection rate r is required to achieve this equilibrium solution? r = ? (c) Assume the mixing chamber contains 4 liters of clear liquid at time t. How many minutes will it take for the outflow concentration to rise to within 2% of the desired concentration of 0.1 kilograms per liter? t=?arrow_forwardPlease show the process of finding the Particular Solution for this DE. Thank you.arrow_forward
- A solution composed of 50% ethanol (EŁOH), 10% methanol (MEOH), and 40% water (H2O) is fed at the rate of 100 kg/hr into a separator that produces one stream at the rate of 60 kg/hr with the composition of 80% ELOH, 15% MEOH, and 5% H20, and a second stream of unknown composition. Calculate the composition (in %) of the three compounds in the unknown stream and its flowrate in kg/hr. Use matrix operations to solve the unknowns. Question 1 Set up the system of linear equations corresponding to material balance equation. Briefly describe.each generated equation.arrow_forwardA second-order chemical reaction involves the interaction of onc molccule of a substance P with one molecule of another substance Q to produce one molecule of another substance X. Suppose that p and q are the initial concentrations of P and Q and let r(t) be the concentration of X at time t. Then p- I(t) and q -r(t) are the concentrations of P and Q at time t, and the rate at which the reaction occurs is given by the equation dr *(I - b)(I – d)o= dt where a is a positive constant. Solve the initial value problem with r(0) = 0 assuming p # q. Answ: r(t) = Pq(e®(q-p)t _1 qea(q-p)t-p , you may nced to manipulate your answer to get this.arrow_forwardWhat is the general solution of the DE?arrow_forward
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