GATE XE format:nat PYQs & Answers — Page 44 — Exam Papers

Questions 431–440 of 668. Imported answers require independent review unless marked reviewed.

Topic practice 668 questionsPage 44 of 67

The number average molecular weight of a polyester formed from equimolar mixture of adipic acid and ethylene glycol at a conversion of 99.5% will be ______ (round off to nearest integer).

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For a freely jointed linear polyethylene chain with molar mass of 1.4×10⁵ g mol⁻¹, the value of root mean square end-to-end distance in nanometer is ______ (round off to 1 decimal place). [Given: C-C bond length = 0.154 nanometer]

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Viscosity measurements were performed for a set of PMMA solutions of different concentrations in toluene at 25 °C. The plot of reduced viscosity against concentration (c) of the PMMA solutions produced an intercept of 21.0 cm³ g⁻¹ on the ordinate at c = 0. The value of viscosity average molecular weight of PMMA in toluene at 25 °C is ______ (round off to nearest integer). [Given: Mark-Houwink constants K = 7.5×10⁻³ cm³ g⁻¹ and a = 0.72 for PMMA in toluene at 25 °C]

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Glass fibre reinforced PP composite is to be prepared with 20 volume % of glass fibre. The densities of glass fibre and PP are 2540 kg m⁻³ and 900 kg m⁻³, respectively. The mass of glass fibre required to produce 1 kg of the composite in kg is ______ (round off to 2 decimal places).

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A polymer solution flows through a cylindrical tube with a diameter of 4 mm at a volumetric flow rate of 10⁻⁹ m³ s⁻¹. Under laminar flow condition and assuming the polymer solution to be a Newtonian fluid with viscosity 10² N s m⁻², the value of pressure drop per unit length of the tube in N m⁻³ is ______ (round off to nearest integer). [Consider the value of π as 3.14]

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A molten polymer with a bulk modulus of 1 GPa is pressurized to 200 MPa during injection molding. The fractional decrease in volume of the molten polymer at this pressurized condition is ______ (round off to 1 decimal place).

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Assume that each cross-link produced by vulcanization of polyisoprene contains an average of two sulphur atoms and that the sulphur is present only in the cross-links. If 40% of the isoprene units are cross-linked, the sulphur content in weight percentage is ______ (round off to 2 decimal places).

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A tensile force of 160 N is applied to a piece of vulcanized rubber of dimension 30 mm × 4 mm × 4 mm. Assuming the vulcanized rubber to be incompressible, if the sample is elongated to 150% of its original length under the same applied force, the true stress in N mm⁻² will be ______ (round off to 1 decimal place).

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The velocity of 2.2 μm diameter fat particles inside a centrifuge, running at 600 rpm and 20 °C, is 0.25 mm s⁻¹. The velocity of 1.5 μm diameter fat particles inside the same centrifuge running at 750 rpm and same temperature (round off to 2 decimal places) will be _____ mm s⁻¹.

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The initial population of a bacterial strain increases from 1×10⁴ cells per mL to 1×10⁶ cells per mL in 120 minutes. The generation time for this strain (round off to 2 decimal places) is _____ minutes.

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