Consider a galvanic cell in which Al3+ is reduced to elemental aluminum and magnesium metal is oxidized to Mg2+. Write the balanced half-cell reactions that take place at the cathode and at the anode. half-cell reaction at the cathode: 2A13+ + 6e Incorrect → 2AI half-cell reaction at the anode: 3Mg 3Mg2+ + 6e
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- In Exercises 7-14, balance the chemical equation for each reaction. 13.[4 .3) Use the exponential method to find the FM for the system: y' = 0 Lo -2 4 0 01 -2 y 4]Calculate the solubility of MCl in water taking activity effects into account. As MCl dissolves, the ionic strength increases so there is a feedback effect: when MCl dissolves, it increases μ, which decreases activity coefficients, which allows more MCl to dissolve, which increases μ, which... You will have to solve this recursively. Repeat the cycle of calculations until you get two successive answers that agree to two significant figures. Use the value α = 250 pm for the M+ ion. Ksp= 5.9E-3
- 13.Show that the third-order Adams-Moulton formula is yn+1=yn+h12(5fn+1+8fn−fn−1).Evalutate: x-5 limä→5 x-1-2 O-2 O 4 O 5 O-6Consider the mixing process shown in the figure. A mixing chamber initially contains 3 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 0.4 kilograms per liter is injected into the mixing chamber at a constant rate of r 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 0.4r-(Q/3)(10+) kg/min dr (b) The objective is to obtain a dye concentration in the outflow mixture of 0.25 kilograms per liter. What injection rate r is required to achieve this equilibrium solution? L/min Would this equilibrium value of r be different if the fluid in the chamber at time I = 0 contained some dye? no (c) Assume the mixing chamber contains 3 liters of clear liquid at time t = 0. How many minutes will it…
- Draw the phase portraits of the following systems, using isoclines (a) Ö+0+0.50=0 (b) +0+0.50 = 1 (c) +8² +0.50=0Consider the mixing process shown in the figure. A mixing chamber initially contains 3 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 r 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 = 0 dt kg / min (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 = L/ min Would this equilibrium value of r be different if the fluid in the chamber at time t = 0 contained some dye? no (c) Assume the mixing chamber contains 3 liters of clear liquid at time t = 0. How many minutes will it take…A Moving to another question will save this response. Question 4 To balance the Chemical equation: X, Caz(PO4)2+ x2 H3PO4→ X3 Ca(H,PO.)2, the equation for the Oxygen O is: 8x, +4 x2= 2x3 X1 +8 x2= 2x3 4X1+4X2=4X3 8x1 +4x2=8x3 A Moving to another question will save this response. ENG O 40 ^ 27°C ao
- Solve the differential equation 2d²y 22 dr² 3 + ²+ ( ² + ²√ ) ₂ = 0 in terms of the Bessel functions by performing the transformation y=u√x, √x=2, where u(z) is the new function of the new variable z.y = (8+ x)-1/2, Find the Linearization at z = a. a = 8 L(z) =||Consider 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=?