COMPUTER PROGRAMMING FOR ENGINEERS - EXAMPLE 17.1 : By using Excel or other easiest programming package, explain how I, the integral of sin x dx from 0 to 3.142 could be approximated using random number. Find the exact value of I.
COMPUTER PROGRAMMING FOR ENGINEERS - ANSWER 17.1 : When Excel is used, let column A=RAND() and column B=ASIN(A1). Stretch the columns A and B vertically. The data is transferred to Word, then reinserted into column C and D in order to prevent changes in column A. By using the sort function from the lowest to highest, arrange the data in column C and D, followed by trapezoidal rule performance in column E=0.5*(C1+C2)*(D2-D1). The 2 times summation of values in column E will approximate I gradually as the random numbers used increase. Exact value of I = -2(-1) = 2 units. 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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THERMODYNAMIC - EXAMPLE 10.1 : The water is superheated steam at 440 degree Celsius and 17.32 megapascals. Estimate the enthalpy of the steam above. From the steam table for water at 440 degree Celsius, enthalpy of steam, h at 18 megapascals is 3103.7 kilojoules per kilogram and at 16 megapascal is 3062.8 kilojoules per kilogram. Assume that h = mP + c where P is pressure; m and c are constants at fixed temperature with small differences in P.
Heat transfer: In a triple effect evaporator, the heat transfer for an evaporator is calculated as q = UA (TI - TF) where TI is the initial temperature, TF is the final temperature; U and A are constants. Given that heat transfer for the first evaporator : q(1) = UA (TI - TB); second evaporator : q(2) = UA (TB - TC); third evaporator : q(3) = UA (TC - TF) where q(x) is the heat transfer function, TB is the temperature of second inlet and TC is the temperature of third inlet, prove that the overall heat transfer Q = q(1) q(2) q(3) = UA (TI - TF).
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Question 29 – For a Vernier scale that consists of 0.11 cm per section, estimate the length on actual standard ruler of 0.1 cm per section for 2.39 m and 0.91 m.
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Question 35 – A mixture consists of benzene (B), toluene (T) and xylene (X). At a temperature of 353 K, the data of vapor pressures : B : 754.12, T : 289.71, X : 91.19. Unit is mm Hg. The pressure P is 0.5 atm. The value of k for each substance is k = (vapor pressure) / P. (a) Calculate k for B, T and X. Let L / V = 0.65. (b) By using the equation V = F / [ (L / V) + 1 ], find the value of V when F = 100, then what is the value of L?
If I do M tech in chemical engineering from iit kgp,iit delhi or iit kanpur...what are the job opportunities,and what salary they offered.plz tell me...i had 156 all india rank..i did not take admission ..but this year i m thinking to take admission...
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I am a student of class 12. With PCMB group. But I Am not good at math. So I wanted to ask whether Chemical engineering can be a good option for me.???
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