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# Distillation Design MCQ’s – Tridiagonal Matrix Method for Material Balances

For a partial Condenser, the terms for middle diagonals are?

a) K_{If} and L_{iF}

b) -(1+L_{1}/K_{I1}D)

c) -(A_{ij})

d) A_{ij}

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Answer: b

Explanation: For a partial Condenser the terms for middle diagonals -(1+L_{1}/K_{I1}D)=mi1 and A_{ij} represents the factor of equilibrium.

For a partial Condenser, the terms for lower diagonals are?

a) -(1+L_{1}/K_{I1}D)

b) -(A_{ij})

c) L_{1}/K_{I1}D

d) A_{ij}

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Answer: c

Explanation: For a partial Condenser the terms for lower diagonals are L_{1}/K_{I1}D=A_{i1} and L_{1}/K_{I1}D represents the equivalent to absorption factor.

For a reboiler stage N, the middle diagonal is

a) -(1+L_{1}/K_{I1}D)

b) K_{If} and L_{iF}

c) L_{1}/K_{I1}D

d) -(1+B_{1}/K_{I1}VN)

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Answer: d

Explanation: For a reboiler stage N the middle diagonal is-(1+B_{1}/K_{I1}VN), -(1+L_{1}/K_{I1}D) represents the next set of absorption factor of next + 1 stages.

For a total condenser, the reflux ratio just include

a) L_{1}/K_{I1}D

b) – (1+L_{1}/D)

c) – (1+L_{1}/K_{I1}D)

d) – (A_{ij})

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Answer: b

Explanation: For a total condenser the reflux ratio just include m_{ij}= – (1+L_{1}/D), Where D is the distillate of the column and L is the liquid flow rate of column.

In matrix form, the total material balance equations are expressed as

a) F V=-R

b) RV=-F

c) L/V=F

d) V/R = F

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Answer: b

Explanation: In matrix form the total material balance equations are expressed as RV= -F, this matrix can be solved either by determinant method or L U method.

In Thomas algorithm

a) Stage factor is calculated

b) Reflux factor is calculated

c) Feed factor is calculated

d) Boil up factor is calculated

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Answer: a

Explanation: In Thomas algorithm Stage factor is calculated, in various other such as matrix method the reflux and the feed factor are to be calculated.

Forward elimination always starts from the

a) Right of corner

b) Middle of corner

c) Upper left corner

d) Last row

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Answer: c

Explanation: Forward elimination always starts from the upper left corner, all elements are covered as the approach is from top to bottom.

Back substitution always starts from the

a) Lower right corner

b) Middle of corner

c) Upper right corner

d) Last row

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Answer: a

Explanation: Back substitution always starts from the lower right corner and all elements are considered as the bottom to top approach method.

For Wide boiling mixtures, K value is

a) Different at different places

b) Same at different places

c) Specific at any time

d) Final Temperature based

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Answer: a

Explanation: Wide boiling mixtures have K value is Different at different places, K value is independent of temperature, pressure and other affecting phenomena.

Each row acts as a

a) Different factor

b) Same factor

c) Coinciding factors

d) Elliptical Factor

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Answer: a

Explanation: Each row acts as a Different factor, the pressure, temperature, volume all other factors are arranged in a separate column to differentiate between them.