Question bank on Computer Applications and Modeling 1) Write an algorithm and ‘C’ program for the determination of molal volume of a gas by making suitable assumptions. Use Newton Raphson Method and van der Walls equation. 2) Write an algorithm and ‘C’ program for the determination of molal volume of a binary mixture by making suitable assumptions. Use Newton Raphson Method and Redlich Kwong equation. 3) Write an algorithm and ‘C’ program for the determination of the root of the equation x3 -5x + 3 = 0 making suitable assumptions. Use Newton Raphson Method. 4) Write an algorithm and ‘C’ program for the determination of molal volume of a gas by making suitable assumptions. Use Bisection Method and van der Walls equation. 5) Write an algorithm and ‘C’ program for the determination of molal volume of a binary mixture by making suitable assumptions. Use Bisection Method and Redlich Kwong equation. 6) Write an algorithm and ‘C’ program for the determination of the root of the equation x3 -5x + 3 = 0 making suitable assumptions. Use Bisection Method. 7) Write an algorithm and ‘C’ program for the determination of molal volume of a gas by making suitable assumptions. Use Substitution Method and van der Walls equation. 8) Write an algorithm and ‘C’ program for the determination of molal volume of a binary mixture by making suitable assumptions. Use Substitution Method and Redlich Kwong equation. 9) Write an algorithm and ‘C’ program for the determination of the root of the equation x3 -5x + 3 = 0 making suitable assumptions. Use Substitution Method. 10) Explain Newton Raphsons method graphically. 11) Explain Bisection Raphsons method graphically. 12) Explain iterative methods giving examples. 13) What is substitution method explain. 14) What is a numerical technique explain with examples. 15) What is numerical integration? Explain graphically trapezoid rule 16) What is numerical integration? Explain graphically Simpson’s 1/3 rule. 17) Write an algorithm and ‘C’ program to Evaluate the integral between limits x0 to xn for the function x/(1+√x2) using trapezoidal rule. 18) Write an algorithm and ‘C’ program to Evaluate the integral between limits x0 to xn for the function x/(1+√x2) Simpson’s 1/3 rule 19) Write an algorithm and ‘C’ program to calculate specific heat of gas using trapezoidal rule. 20) Write an algorithm and ‘C’ program to calculate specific heat of gas Simpson’s 1/3 rule 21) Write an algorithm and ‘C’ program to calculate time required to achieve conversion xA in a batch reactor. Give your assumptions. Use trapezoidal rule. 22) Write an algorithm and ‘C’ program to calculate time required to achieve conversion xA in a batch reactor. Give your assumptions. use Simpson’s 1/3 rule 23) Write an algorithm and ‘C’ program to calculate time required to bring down the concentration of reactant A from Ca0 to Ca given n trials of rate data.. Give your assumptions. Use trapezoidal rule. 24) Write an algorithm and ‘C’ program to calculate time required to bring down the concentration of reactant A from Ca0 to Ca given n trials of rate data.. Give your assumptions. Use Simpson’s 1/3 rule. 25) Write an algorithm and ‘C’ program to generate concentration profile for the range 0<x<1 in steps of 0.1 in a PFR using IV order Runge Kutta method. The equation dc/dx = a*c1.5*(1+ (√1=x2)) describes variation of concentration w.r.t distance x along the reactor. A is a constant. 26) Write an algorithm and ‘C’ program to determine value of y for a particular value x using Runge Kutta method. 27) Write an algorithm and ‘C’ program to calculate Arrhaneous factor and frequency factor using method of Least squares making proper assumptions. 28) Write an algorithm and ‘C’ program to determine the equation of the best curve fit for the given data points using method of Least squares making proper assumptions. 29) Write an algorithm and ‘C’ program to calculate pressure drop and frequency factor. Using method of Least squares derive an expression to relate frequency factor and Nre. 30) Write an algorithm and ‘C’ program to determine the solution for simultaneous linear equations using Gauss siedel method. 31) Write an algorithm and ‘C’ program to determine the solution for simultaneous linear equations using Gauss Jordon elimination method. 32) Write an algorithm and ‘C’ program to solve acid mixing problem using Gauss siedel method. 33) Write an algorithm and ‘C’ program to solve acid mixing problem using Gauss Jordon elimination method. 34) Write an algorithm and ‘C’ program to generate P-x,y data using bubble point Calculation. Give your assumptions 35) Write an algorithm and ‘C’ program to generate T-x,y data using bubble point Calculation. Give your assumptions 36) Write an algorithm and ‘C’ program to generate P-x,y data using dew point Calculation. Give your assumptions 37) Write an algorithm and ‘C’ program to generate T-x,y data using dew point Calculation. Give your assumptions 38) Write an algorithm and ‘C’ program to determine bubble point for ideal binary mixture. Give your assumptions 39) Write an algorithm and ‘C’ program to determine dew point for ideal binary mixture. Give your assumptions 40) Write an algorithm and ‘C’ program to determine bubble point for non ideal binary mixture. Give your assumptions 41) Write an algorithm and ‘C’ program to determine dew point for non ideal binary mixture. Give your assumptions 42) What is principle of corresponding states Explain with examples? 43) What is UNIFAC method? Explain. 44) Write an algorithm and ‘C’ program to determine II and III virial coeficients. Give your assumptions 45) Write an algorithm and ‘C’ program to determine Give your assumptions 46) What is Pitzer’s rule? Explain 47) Write an algorithm and ‘C’ program to evaluate vapour and liquid flow rates and compositions for a multi component system in isothermal flash drum. State your assumptions. 48) Write an algorithm and ‘C’ program to evaluate vapour and liquid flow rates and compositions for an ideal binary system in isothermal flash drum. State your assumptions. 49) Write an algorithm and ‘C’ program to determine volume of isothermal CSTR. State your assumptions. 50) Write an algorithm and ‘C’ program to determine volume of isothermal PFR. State your assumptions. 51) Write an algorithm and ‘C’ program to determine volume of non isothermal CSTR. State your assumptions. 52) Write an algorithm and ‘C’ program to determine volume of non isothermal PFR. State your assumptions. 53) Write an algorithm and ‘C’ program to calculate time required to achieve conversion xA in a batch reactor. Give your assumptions. use Simpson’s 1/3 rule 54) Write an algorithm and ‘C’ program to generate concentration profile for the range 0<x<1 in steps of 0.1 in a PFR using IV order Runge Kutta method. The equation dc/dx = a*c1.5*(1+ (√1=x2)) describes variation of concentration w.r.t distance x along the reactor. A is a constant. 55) Write an algorithm and ‘C’ program to calculate time required to achieve conversion xA in a non isothermal batch reactor. Give your assumptions. use Simpson’s 1/3 rule 56) Write an algorithm and ‘C’ program to calculate the number of theoretical plates using plate to plate calculations in a distillation column. Give your assumptions. 57) Derive the equations to calculate the number of theoretical plates using plate to plate calculations in a distillation column with assumptions. 58) Write an algorithm and ‘C’ program to design a DPHE. State your assumptions. 59) Write an algorithm and ‘C’ program to design a STHE. State your assumptions. 60) Give the equations to design DPHE with assumptions. 61) Give the equations to design STHE with assumptions. 62) Write an algorithm and ‘C’ program to determine LMTD for co current and counter current flow. 63) Write an algorithm and ‘C’ program to design an evaporator. State your assumptions. 64) Give the equations to design an evaporator with assumptions. 65) Write an algorithm and ‘C’ program to determine adiabatic flame temperature. State your assumptions. 66) Write short notes on a) Numerical methods b) PCS 67) Write short notes on a) Numerical integration b) PCS c) UNIFAC method d) Equations of state c) Least square method d) Equations of state 68) Write short notes on a) Numerical methods b) Compressibility factor c) UNIFAC method d) Solution of simultaneous equations. 69) Write short notes on a) Newton Raphson method b) Compressibility factor c) Trapezoidal rule d) Solution of simultaneous equations. 70) Write short notes on a) Numerical methods b) Algorithms c) Arrhaneous plot d) Solution of transcendental equations. 71) Write a flow sheet to determine volume of adiabatic CSTR. State your assumptions. 72) Write a flow sheet to determine volume of an adibatic PFR. State your assumptions. 73) What is modeling? How model building is done. 74) What are principles of model formulation? 75) What are precautions to be taken in model building? 76) Explain the fundamental laws connected to model building 77) Explain Shell balance approach 78) Explain and derive continuity equation 79) Explain and derive energy equation 80) Explain and derive equation of motion 81) What is transport equation of state explain. 82) Give the classification of mathematical models 83) Develop a basic tank mathematical model (level vs time). State assumptions. 84) Develop a mathematical model for multi component flash drum. State assumptions. 85) Develop a mathematical model for batch distillation. State assumptions. 86) Develop a mathematical model for batch reactor. State assumptions. 87) Develop a mathematical model for three CSTR in series. State assumptions. 88) Develop a mathematical model for heat exchanger(co-current). State assumptions. 89) Develop a mathematical model for heat exchanger (counter current). State assumptions. 90) Write short notes on a) Mathematical model d) Equations of state b) PCS c) UNIFAC method 91) Write short notes on a) Numerical integration b) Newton Raphsons method d) Equations of state c) Least square method 92) Write short notes on a) Numerical methods b) Compressibility factor c) UNIFAC method d) Classification of models. 93) Write short notes on a) Newton Raphson method d) Laws of modeling. b) Compressibility factor c) Trapezoidal rule 94) Write a flow sheet to design a DPHE. State your assumptions. 95) Write a flow sheet to design a STHE. State your assumptions. 96) Write a flow sheet to design a evaporator. State your assumptions. 97) Write a flow sheet to design a distillation column. State your assumptions. 98) Write a flow sheet to design an adiabatic CSTR. State your assumptions. 99) Write a flow sheet to design an adiabatic PFR. State your assumptions. 100) What is numerical technique. Explain different types briefly.