QUANTUM CHEMISTRY AND CHEMICAL ENGINEERING - EXAMPLE 31.9 : When an algebraic product is defined on the space, the Lie bracket is the commutator [x,y] = xy - yx according to Lie algebra in mathematics. If [p,x] f(x) = px f(x) - xp f(x), p = -ih d / dx, find the value of [p,x] in term of i and h.
QUANTUM CHEMISTRY AND CHEMICAL ENGINEERING - ANSWER 31.9 : Let [p,x] f(x) = px f(x) - xp f(x) = (-ih d / dx) x f(x) - x (-ih d / dx) f(x) = -ih { d / dx [ x f(x) ] - x d f(x) / dx } = -ih [ f(x) ] + x d f(x) / dx - x d f(x) / dx = -ih [ f(x) ]. Then [p,x] = -ih. The answer is given by Kang Chuen Tat; PO Box 6263, Dandenong, Victoria VIC 3175, Australia; SMS +61405421706; chuentat@hotmail.com; http://kangchuentat.wordpress.com.
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ENGINEERING NUMERICAL METHODS - EXAMPLE 19.1 : Solve the simultaneous equation using simple Excel program : r + s - t = 7, 2r - s = 0, 3r + 2t = 15. Explain the use of functions of MINVERSE and MMULT together with the keyboard C (Ctrl) + S (Shift) + E (Enter).
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can we apply Bernoulli theorem for liquid?
Water flows through a pipe with circular cross sectional area at the rate of V / t = 80 L / s where V is the volume and t is time. Let Av = 80 L / s where A is cross sectional area and v is velocity of fluid. For point 1, the radius of the pipe is 16 cm. For point 2, the radius of the pipe is 8 cm. Find (a) the velocity at point 1; (b) the velocity at point 2; (c) the pressure at point 2 by using Bernoulli’s equation where P Rgy 0.5 RV = constant. P is the pressure, R = density of fluid, V = square of fluid’s velocity, g = gravitational constant of 9.81 N / kg and y = 2 m = difference of height at 2 points. The pressure of point 1 is 180 kPa.
Name some common causes of control valve noise?
ELECTRICAL TECHNOLOGY - EXAMPLE 16.2 : In a selection of suitable heating equipment for drying of crystals of biochemical, the one of the lowest current consumption will be chosen for safety consideration. Selection is available : (A) 120 V microwave oven 1800 W. (B) 240 V conventional oven 11000 W. Which one should be chosen and why?
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ACCOUNTING AND FINANCIAL ENGINEERING - EXAMPLE 34.37 : A biochemical engineering professional applies 5-step Du Pont formula in the accounting. Let Net Income = A, Earning Before Tax (EBT) = B, Earning Before Interest, Tax (EBIT) = C, Net Sales = D, Total Assets = E, Shareholders Equity = F. Let Tax Burden = A / B = 0.75, Interest Burden = B / C = 1.05, EBIT Margin = C / D = 0.27, Asset Turnover = D / E = 0.66, Return on Equity = A / F = 0.37. (a) Calculate the value of Leverage = E / F. (b) If AB + BC + CD + DE + EF = $$ 141932, find the values of A, B, C, D, E and F.
ENGINEERING MATHEMATICS - EXAMPLE 8.3 : Solve the first order differential equation : (Z + 1)(dy/dx) = xy in term of ln |y| = f(x). Z = (x)(x).
which is more effective , a single extraction with a large volume of solvent or several small volume extractions? Explain.
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7 Answers MahaGenco, Oil India, ONGC,
solution =2oolitre ,solute =Polyelectrolyte,Solution=water ,we have to prepare 1% solution.how much solute And Solvent?
0 Answers Nixie Engineers Pvt Ltd,