assignment 3

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Assignment #3 Total : 50 (the individual marks are enumerated in parentheses at the end of every question) Answer in 1-2 lines (1)Draw the schematic and explain the functionality of an Ammonia sensor. [3] (2)Explain how you will sense the following metabolites. Penicilllin, Glucose, Urea, Creatinine, L-Phenylalanine and Adenosine. Give a few lines indicating the reason why we should sense these metabolites. [6] (3)Explain the interfacial double layer phenomena with a schematic.[2] (4)Derive a mathematical expression for the zeta potential in terms of the electrostatic double layer, surface charge density and dielectric constant. [3] (5)Derive a mathematical expression for the electro-osmotic mobility for a charges surface. [3] (6)An infinite plate is moved over a second plate on a layer of fluid as shown in figure 1. For the small gap width, d, we assume a linear velocity profile in the fluid. The fluid viscosity is 0.65X10 -3 kg/ m.s and its specific gravity is 0.88. Calculate: The Kinematic viscosity of the liquid, in m 2 /s. The shear stress on the lower plate in Pa. Indicate the direction of each shear stress indicated in part(b). Figure 1 [5] (7)The velocity distribution for a laminar flow between fixed parallel plates is given by the following expression. u/u max = 1- (2y/h) 2 Where h is the distance between the plates and the origin is placed half way between the plates. Consider the flow of water at 15deg. C with a maximum speed of 0.05 m/s and h=5mm. Calculate the force on a 0.3mm2 section of the lower plate and give its direction. [6] (8) Derive a mathematical expression for the streaming potential due to a pressure head P in terms of the flow rate and streaming current. [3] (9) Find two sensory applications of streaming potentials online. A brief description with a schematic should be provided where streaming potential is used as a sensing mechanism. [3] U=0.3 m/s x y d= 0.3m

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  • Assignment #3

    Total : 50 (the individual marks are enumerated in parentheses at the end of every question)

    Answer in 1-2 lines

    (1)Draw the schematic and explain the functionality of an Ammonia sensor. [3]

    (2)Explain how you will sense the following metabolites. Penicilllin, Glucose, Urea,

    Creatinine, L-Phenylalanine and Adenosine. Give a few lines indicating the reason why

    we should sense these metabolites. [6]

    (3)Explain the interfacial double layer phenomena with a schematic.[2]

    (4)Derive a mathematical expression for the zeta potential in terms of the electrostatic

    double layer, surface charge density and dielectric constant. [3]

    (5)Derive a mathematical expression for the electro-osmotic mobility for a charges

    surface. [3]

    (6)An infinite plate is moved over a second plate on a layer of fluid as shown in figure 1.

    For the small gap width, d, we assume a linear velocity profile in the fluid. The fluid

    viscosity is 0.65X10-3 kg/ m.s and its specific gravity is 0.88. Calculate:

    The Kinematic viscosity of the liquid, in m2/s.

    The shear stress on the lower plate in Pa.

    Indicate the direction of each shear stress indicated in part(b).

    Figure 1 [5]

    (7)The velocity distribution for a laminar flow between fixed parallel plates is given by

    the following expression.

    u/umax = 1- (2y/h)2

    Where h is the distance between the plates and the origin is placed half way between

    the plates. Consider the flow of water at 15deg. C with a maximum speed of 0.05 m/s

    and h=5mm. Calculate the force on a 0.3mm2 section of the lower plate and give its

    direction. [6]

    (8) Derive a mathematical expression for the streaming potential due to a pressure

    head P in terms of the flow rate and streaming current. [3]

    (9) Find two sensory applications of streaming potentials online. A brief description with

    a schematic should be provided where streaming potential is used as a sensing

    mechanism. [3]

    U=0.3 m/s

    x

    y

    d= 0.3m

  • (10) Derive a mathematical expression for electrophoresis. [3]

    (11) The electrokinetic pumping network shown below [see fig.2 ] is used for capillary

    electrophoresis. Ports 1 and 2 are the inlet and outlet for a sample, respectively. Port 3

    is the inlet of the carrier buffer. The longest channel is the separation line. Port 4 is the

    waste port. All microchannels are etched in glass and have a diameter of 100 microns.

    The channel lengths are depicted in figure 2. Measuring electrical impedance across

    ports 1 and 2 results in 400Mohms. The potential at ports 1,2,3 and 4 are 1000V, 1000V,

    1500V, and 0V respectively. Do the fluids from 1 &2,contaminate the separation

    process? Assume the sample solution and buffer have identical electrokinetic

    properties.

    Figure 2 [5]

    (12) Draw and explain the basic DNA structure. Mention about the difference in

    hydrogen bonding between the 4 bases and why this is so important? [2]

    (13) What is stringent and reduced stringency hybridization? [1]

    (14) Describe with a schematic the polymerase chain reaction process. [1]

    (15) What is Real Time PCR? Explain about the various phases of a full PCR cycle with

    respect to one cycle and a no. of cycles. [1]