List of practice Questions

The heat of combustion of methane, carbon monoxide and hydrogen are \(P\), \(Q\) and \(R\) respectively. For the reaction
\[ CH_4 + H_2O \longrightarrow CO + 3H_2 \] the heat of reaction is given by
Heat transfer coefficient for a vapor condensing as a film on a vertical surface is given by

A feed stream \(F_1\) containing components A and B is processed in a separation–mixer system as shown. The mole fractions of A and B are \(x_A\) and \(x_B\). If \(F_1 + F_2 = 100\ \text{kg h}^{-1}\), the degrees of freedom of the system is \(\underline{\hspace{1cm}}\). 
 

Calculate the integral: 
\[ \int_{0}^{\pi/4} \sin\sqrt{x}\ dx = \underline{\hspace{1cm}} . \]

The determinant of matrix \( A = \begin{pmatrix} 1 & 1 & 1 & 1 \\ -1 & 1 & 1 & 1 \\ -1 & -1 & 1 & 1 \\ 1 & 1 & 1 & 3 \end{pmatrix} \) is \(\underline{\hspace{1cm}}\). 

Which of the following combinations of plant hormones and their associated function are CORRECT? 
\[\begin{array}{c c} \textbf{Hormone} & \textbf{Function} \\ \text{P. Abscisic acid} & \text{Breaks seed dormancy} \\ \text{Q. Auxin} & \text{Induces cell division} \\ \text{R. Ethylene} & \text{Stimulates ripening of fruits} \\ \text{S. Gibberellin} & \text{Promotes seed dormancy} \\ \end{array}\]

Match hypersensitivity types in Group I with their corresponding condition in Group II. 
\[\begin{array}{c c} \textbf{Group I} & \textbf{Group II} \\ \text{P. Type I} & \text{1. Erythroblastosis fetalis} \\ \text{Q. Type II} & \text{2. Host reaction to bee venom} \\ \text{R. Type III} & \text{3. Systemic lupus erythematosus} \\ \text{S. Type IV} & \text{4. Tuberculin reaction} \\ \end{array}\]

Match the autoimmune diseases in Group I with the corresponding primarily affected organ in Group II. 
\[\begin{array}{c c} \textbf{Group I} & \textbf{Group II} \\ \text{P. Hashimoto's disease} & \text{1. Brain} \\ \text{Q. Juvenile diabetes} & \text{2. Pancreas} \\ \text{R. Multiple sclerosis} & \text{3. Skeletal muscle} \\ \text{S. Myasthenia gravis} & \text{4. Thyroid} \\ \end{array}\]

Match separation methods in Group I with associated properties in Group II. 
    Group I                            Group II
P. Centrifugation                1. Density 
Q. Dialysis                           2. Diffusivity 
R. Solvent extraction         3. Size 
S. Ultrafiltration                 4. Solubility 
 

Match enzymes in Group I with their corresponding industrial application in Group II. 
    Group I                        Group II
P. Amylase                   1. Laundry detergent 
Q. Invertase                 2. Fruit juice clarification 
R. Pectinase                 3. Liquefaction of sucrose 
S. Xylanase                  4. Pulp and paper processing 
 

Which one of the following represents non-growth associated product formation kinetics in a bioprocess system? $X$ and $P$ denote viable cell and product concentrations, respectively. 

The value of \( \lim_{x \to 0} [ \dfrac{x - \sin 2x}{x - \sin 5x} ] \) (rounded off to two decimal places) is \(\underline{\hspace{1cm}}\). 
 

The process and instrumentation diagram for a feedback control strategy to maintain the level (h) of a liquid by regulating a valve (V) is shown. The manipulating variable(s) is/are: 

The order of genes present in a chromosome is as follows. 

Which rearrangement represents a paracentric inversion? 

A bacterium produces acetic acid from ethanol as per the following reaction \(2 CH_3CH_2OH + 2O_2 \rightarrow 2CH_3COOH + 2H_2O\).
The maximum thermodynamic yield of acetic acid from ethanol in g g\(^{-1}\) (rounded to two decimals) is \(\underline{\hspace{1cm}}\).
In a random mating population, the frequency of Y allele is 0.70. The frequency of Yy heterozygotes is \(\underline{\hspace{1cm}}\).
A batch cultivation of E. coli follows zeroth order Monod kinetics. Growth stops when dissolved oxygen reaches 10% of saturation. The oxygen mass transfer coefficient is \(k_La = 80\ \text{h}^{-1}\). Saturation dissolved oxygen = 0.007 kg m\(^{-3}\). If maximum specific growth rate = 0.2 h\(^{-1}\) and yield coefficient \(Y_{X/O_2} = 1.5\ (\text{kg cells})(\text{kg O}_2)^{-1\), then the final biomass concentration (kg m\(^{-3}\)) is \(\underline{\hspace{1cm}}\).}
Milk flowing through a stainless steel inner tube (40 mm inner diameter) of a double tube-type heater is heated from 10\(^\circ\)C to 85\(^\circ\)C by steam condensing at 120\(^\circ\)C. Total heat transferred is 146200 kcal h\(^{-1}\), and overall heat transfer coefficient is 750 kcal h\(^{-1}\) m\(^{-2}\) \(^\circ\)C\(^{-1}\). The total length of the heating tube in m (rounded to one decimal place) is \(\underline{\hspace{1cm}}\).
A DNA solution of 50 \(\mu\)g mL\(^{-1}\) gives absorbance of 1.0 at 260 nm. A 20 \(\mu\)L aliquot from a 50 \(\mu\)L purified plasmid solution is diluted to 1000 \(\mu\)L. The diluted solution gives absorbance 0.550 at 260 nm. The purified plasmid concentration in \(\mu\)g \(\mu\)L\(^{-1}\) (rounded to two decimals) is \(\underline{\hspace{1cm}}\).
The possible number of SalI restriction sites in a 9 kb double-stranded DNA with equal base proportion (nearest integer) is \(\underline{\hspace{1cm}}\).
A 0.1 mL aliquot of a bacteriophage stock having a concentration of \(4 \times 10^9\) phages mL\(^{-1}\) is added to 0.5 mL of E. coli culture having \(2 \times 10^8\) cells mL\(^{-1}\). The multiplicity of infection is \(\underline{\hspace{1cm}}\).
If the area of a triangle with vertices \((k, 0)\), \((2, 0)\) and \((0, -2)\) is 2 square units, the value of \(k\) is \(\underline{\hspace{1cm}}\).
In a chemostat with dilution rate 0.8 h\(^{-1}\), biomass concentration = 8 mol m\(^{-3}\), and specific product formation rate = 0.2 (mol product)(mol biomass)\(^{-1}\) h\(^{-1}\), the steady-state product concentration (mol m\(^{-3}\)) is \(\underline{\hspace{1cm}}\).
If the values of random variables \(X,Y\) are (121,360), (242,364), (363,362), the correlation coefficient (rounded to one decimal place) is \(\underline{\hspace{1cm}}\).
It is desired to scale-up a fermentation from 1 L to 1000 L vessel by maintaining a constant power-to-volume ratio. The small fermenter is operated at an agitator speed of 300 rpm. If the value of scale-up factor is 10, agitator speed in rpm (rounded off to the nearest integer) for the large fermenter is \(\underline{\hspace{1cm}}\).