# Distillation Design Questions and Answers – Relaxation Method

This set of Distillation Design Multiple Choice Questions & Answers (MCQs) focuses on “Relaxation Method”.

1. Relaxation methods were developed for solving?
a) Co linear systems
b) Sub linear systems
c) Linear systems
d) Bilateral systems

Explanation: Relaxation methods were developed for solving linear systems, similar as matrix systems the relaxation method can be used to find values of unknowns.

2. The below equation follows? a) Change in Temperature
b) Change in Time
c) Change of T Stages
d) Change of X Stages

Explanation: The above equation follows Change in Temperature in Euler’s form, where Tj,k+1 is the calculated temperature conforming liquid temperature.

3. The next trail, for the below equation is

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a) K-1
b) K+1
c) K=0
d) K=xij

Explanation: The Euler’s equation is next trail K+1, where Xij,k+1 is the calculated feed stream of liquid using the initial feed conditions.

4. The below curve is called as the a) Homologues Curve
b) Homotomy Curve
c) Euler’s Curve
d) Newton Curve

Explanation: The following curve is called as the Homotomy path, as the function rises from G(x)
That is simpler one to F(x) the complex one.

The below equation is for question 5 and question 6.

H(X,t)- tF(X)+(1-t)G(X)

5. F(x) stands for
a) Simpler solution
b) Complex Solution
c) Difficult Solution
d) Simple Solution

Explanation: F(x) stands for Difficult Solution, as we can follow the Homotomy equation curve and path of curve.

6. G(x) stands for
a) Simpler solution
b) Complex Solution
c) Difficult Solution
d) Simple Solution

Explanation: G(x) stands for simpler solution, starts with an initial value the G(x) is the Homotomy parameter representing simpler set of solution.

7. The Homotomy parameter, t travels between
a) 0 and 1
b) 0 and infinity
c) 1 and infinity
d) 1 and -1

Explanation: The Homotomy parameter “t” travels between 0 and 1 from G(x) to F(x), accordingly it is the varying factor of relation between G(x) and F(x).

8. The solution is converged when
a) F(x) =0
b) G(x) =0
c) G’(x) =0
d) F’(x) =0

Explanation: The solution is converged when F(x) =0 so that t=1 and H(x,t)=0, this is proved numerically and cannot be changed.

9. LU decomposition is used when
a) Ax (k) = Y (k)
b) Ax (k) = bX (k)
c) Ax (k) ≠ b (k)
d) Ax (k) = b (k)

Explanation: LU decomposition is used when Ax (k) = b (k) is to be solved for several different values of vector b.

10. The below equation is? a) Poisons’ Equations
b) Euler’s Equation
c) Newton Equation
d) Crab Equation

Explanation: The above equation is an Euler’s Equation, as it consists of the differential term and the nth value of x feed stream.

Sanfoundry Global Education & Learning Series – Distillation Design.
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