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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Question 82 - (a) The Hyperion sewage plant in Los Angeles burns 8 million cubic feet of natural gas per day to generate power in United States of America. If 1 metre = 3.28084 feet, then how many cubic metres of such gas is burnt per hour? (b) A reservoir of natural gas produces 50 mole % methane and 50 mole % ethane. At zero degree Celsius and one atmosphere, the density of methane gas is 0.716 g / L and the density of ethane gas is 1.3562 mg / (cubic cm). The molar mass of methane is 16.04 g / mol and molar mass of ethane is 30.07 g / mol. (i) Find the mass % of methane and ethane in the natural gas. (ii) Find the average density of the natural gas mixture in the reservoir at zero degree Celsius and one atmosphere, by assuming that the gases are ideal where final volume of the gas mixture is the sum of volume of the individual gases at constant temperature and pressure. (iii) Find the average density of the natural gas mixture in the reservoir at zero degree Celsius and one atmosphere, by assuming that the final mass of the gas mixture is the sum of mass of the individual gases. Assume the gases are ideal where mole % = volume % at constant pressure and temperature.
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I am writing the chemical engineering subject test for Reliance India Limited. Could someone who has taken the test please list some of the questions from that paper?
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