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The oxygen activity in a liquid metal can be-measured by a concentration cell using stabilised zirconia electrolyte PO<sub>2</sub><sup>(1)</sup> | ZrO<sub>2</sub> based solid electrolyte | PO<sub>2</sub><sup>(2)</sup><br>Where, PO<sub>2</sub><sup>(1)</sup> is the reference oxygen pressure and PO<sub>2</sub><sup>(2)</sup> is the oxygen pressure in equilibrium with liquid metal. If, F is Faraday constant, the EMF of the cell is equal to

Correct Answer: $$ - \frac{{RT}}{{4F}}In\frac{{PO_2^{\left( 2 \right)}}}{{PO_2^{\left( 1 \right)}}}$$

Consider a given volume of liquid at a temperature T below Tm with a free energy G’. If some of the atoms of the liquid cluster together to form a small sphere of solid, the free energy of the system will change to G, given by________ (Assume V1 volume of the solid sphere, V2 volume of liquid, A is the solid/liquid interfacial area, γ solid/liquid interface free energy, G1 and G2 are the free energies per unit volume of solid and liquid respectively).

In a well aerated and agitated microbial culture, the 'supply' of oxygen is equal to 'demand' (uptake) of the growing culture. The KLa for such a system will be (KLa = volumetric mass transfer coefficient, C* = dissolved oxygen concentration in liquid in equilibrium with gaseous oxygen, C = instantaneous value of dissolved oxygen concentration, 'r' = specific oxygen uptake rate per unit weight of cells, X = dry weight of the cells per unit volume)

The concentration of oxygen at the inner surface of the vessel is maintained at a level C depending on the pressure in the vessel, while the concentration at the outer surface is reduced to zero by the escape of oxygen to the surroundings. A steady state will eventually be reached when the concentration everywhere reaches a constant value. Provided D is independent of concentration there will be a single concentration gradient in the wall and the thickness of the wall is L, the flux is given by________________

Which of the following is a correct method to calculate the EMF of a galvanic cell? + b) Standard EMF of the cell = – c) E°cell = E°cathode – E°anode d) Standard EMF of the cell = +

Phytase, an enzyme produced by Aspergillus niger can be adsorbed on microcrystalline cellulose powder (MCCP). The adsorption follows a Langmuir isotherm and the maximum concentration of the protein that can be obtained on the adsorbent is 70 mg cm-1. At a concentration of 50 mg L-1 of protein in the solution, the concentration of protein on the adsorbent reaches 35 mg cm-1. It is desired to recover 90% of the protein from 1.5 liter of the cell free culture filtrate containing 220 mg L-1 protein by addition of MCCP to the solution. The concentration of the protein adsorbed on the solid at equilibrium will be:

Marginal cost is equal to marginal revenue, average cost is equal to average revenue, average revenue is equal to marginal revenue and average cost is equal to marginal cost. This is the condition of
1. long period equilibrium for a firm under monopoly
2. short period equilibrium for a firm under oligopoly
3. long period equilibrium
4. long period equilibrium for a firm under perfect competitions
Select the correct answer

The marginal cost is equal is to marginal revenue, the average cost is equal to average revenue, average revenue is equal to marginal revenue, and the average cost is equal to marginal cost. This is the condition of
1. Long-period equilibrium for a firm under monopoly.
2. Short-period equilibrium for a firm under oligopoly.
3. Long-period equilibrium
4. Long-period equilibrium for a firm under perfect competition.

An electrolytic refining cell for copper consists of an alloy with activity of copper acu = 0.8 as the anode, and pure copper as the cathode. What is the absolute value of the cell potential (in millivolts) at 25°C, given that copper is divalent? Faraday constant is 96500 C/mol and the universal gas constant is 8.314 J/(mol.K).

A liquid solid mixture with 10% solid and 90% liquid is input to a dryer, some of the liquid evaporated and the product contains 60% solid and 40% liquid, what is the ratio of an amount of water evaporated and amount of input?

The equilibrium constant of a reaction is 20 units and the equilibrium constant of other reaction is 30 units when both the reactions are added up together then the equilibrium constant of the resultant reaction is given by _____________