GATE CH format:nat PYQs & Answers

Attempt a question, record the concept and assumptions, then check the available answer. Rework mistakes after revising the relevant concepts. Topic tags can overlap; review the question context.

Questions 1–10 of 252. Imported answers require independent review unless marked reviewed.

Topic practice 252 questionsPage 1 of 26

Consider two successive screen sizes in the Tyler standard screen scale, viz. 150 meshes per inch and 200 meshes per inch. Their linear sizes of the openings are L₁₅₀ and L₂₀₀, respectively. If the value of L₂₀₀ is 2.9 × 10⁻³ inch, then the value of L₁₅₀ (in inch) is ____ × 10⁻³ (rounded off to one decimal place).

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Consider a homogeneous gas phase reaction, A + 2B → 2C + 3D, occuring at constant temperature and pressure in a varying volume batch reactor. The vessel is initially charged with 50 moles of A and 150 moles of B. The gases behave ideally. For complete conversion of A, the ratio of the final volume to the initial volume is _____ (rounded off to one decimal place).

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Water is discharged from vertical side of a tank through a circular orifice of diameter 2 cm under laminar flow conditions. The water surface in the tank is maintained at constant level above the center of the orifice. If the fluid jet has a diameter of 1.6 cm at its vena contracta, then the coefficient of contraction is _____________ (rounded off to two decimal places).

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Consider a non-reactive binary mixture of two ideal gases A and B in an isothermal horizontal closed tube. Due to the concentration difference at the two ends of the tube, equimolar counterdiffusion occurs along the axial direction. No concentration gradients exist in the radial direction. The profile for partial pressure of component A (

) as a function of axial distance

is shown in the figure. The partial pressure of component B (

) approaches zero at z = 0.8 m. At a location z = z₁ the partial pressures of the components A and B are equal. The value of z₁ (in m) is _____ (rounded off to two decimal places).

Diagram for Chemical Engineering question 33

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An experiment is performed by rolling an unbiased die once. Events A and B are defined as follows:

Event A: The outcome of the rolled die is a prime number. Event B: The outcome of the rolled die is an odd number less than 4.

The conditional probability of A given B, denoted by P (A|B), is ______ (rounded off to one decimal place).

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Using single step trapezoid rule, the value of

is ______ (rounded off to two decimal places).

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A thermometer initially at a steady temperature of 30 °C is inserted in a water bath maintained at 90 °C. The initial rate of temperature rise of the thermometer is 2 °C s

. Assuming first order behavior, the thermometer reading (in °C) after one minute is ______ (rounded off to one decimal place).

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In a double pipe cocurrent heat exchanger, operating at steady state, oil (specific heat capacity = 2100 J kg

°C

) entering at 7 kg s

at 100 °C is used to heat water (specific heat capacity = 4200 J kg

°C

) flowing at 3.5 kg s

from 20 °C to 50 °C. If the overall heat transfer coefficient is 291 W m

°C

, the required heat transfer area (in m

) is ____ (rounded off to one decimal place).

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A pipe with outer diameter of 0.02 m, carries hot water. The temperature at the outer surface of the pipe is 70 °C. This pipe is covered with two concentric layers of insulation, each having a thickness of 0.01 m. The first layer (adjacent to the pipe) is made up of felt material (thermal conductivity k_f = 0.12 W m⁻¹ °C⁻¹), and the next layer is made up of asbestos (thermal conductivity k_as = 0.15 W m⁻¹ °C⁻¹). The insulated pipe is exposed to ambient air at 20 °C. The convection heat transfer coefficient at the outer insulation layer is 3 W m⁻² °C⁻¹. At steady state, neglecting heat transfer due to radiation, the heat loss at the outer insulation layer (in W m⁻¹) is _____ (rounded off to two decimal places).

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Methanol is formed by the following gas phase homogeneous reaction:

CO (g) + 2H₂ (g) ⇌ CH₃OH (g)

The standard Gibbs free energies of formation at 298 K for CO and CH₃OH are −137 kJ mol⁻¹ and −162 kJ mol⁻¹, respectively. The value of universal gas constant is 8.314 J mol⁻¹ K⁻¹. The equilibrium constant for the given reaction at 298 K is _____ × 10⁴ (rounded off to one decimal place).

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GATE CH format:nat PYQs

How to practice format:nat

Question 30

Question 31

Question 32

Question 33

Question 34

Question 35

Question 51

Question 52

Question 53

Question 54