GATE XE format:nat PYQs & Answers — Page 49

Questions 481–490 of 668. Imported answers require independent review unless marked reviewed.

Topic practice 668 questionsPage 49 of 67

A spherical pressure vessel has inner diameter of 4 m and wall thickness of 10 mm. It is made of a steel having tensile yield strength of 200 MPa. Neglecting radial stress and using the maximum shear stress theory, the maximum value of gauge pressure (in MPa) that the wall of the pressure vessel can withstand is ________ (rounded off to two decimal places).

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Two solid shafts P and Q made of same material transmit equal torque. Shaft P has a uniform circular cross section of area

and shaft Q has a uniform circular cross section of area

. If the maximum torsional shear stress developed in shaft P is 160 MPa, the maximum torsional shear stress developed (in MPa) in shaft Q is ________.

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The slotted arm AB rotates in the horizontal plane about point A at a constant angular speed ω = 10 rad/sec. The particle P is released from rest, in the frictionless slot, at a distance of 2 m from A. The magnitude of the velocity of the particle (in m/s) just before it hits end B is ________ (rounded off to two decimal places).

Diagram for Engineering Sciences question 20

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The uniform pendulum rod, having mass 10 kg and length

, is attached to a viscous damper having damping coefficient

. Use acceleration due to gravity

. The least value of

(in N-s/m) such that small motions of the pendulum rod decay with oscillations is ________.\n

Diagram for Engineering Sciences question 21

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A beam having a constant solid rectangular cross section is subjected to pure bending. The longitudinal strain at a point A on the cross section is

. If the Young’s modulus of the material of the beam is 200 GPa, the maximum tensile stress (in MPa) is ________.

Diagram for Engineering Sciences question 22

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A Carnot engine receives 200 kJ heat from a source at 1200 K and rejects 500 kJ heat to sink. The sink temperature (K) is ________.

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A closed vessel contains a pure substance with 0.1 m

of saturated liquid and 0.9 m

of saturated vapor. The specific volume of the liquid and vapor phases are 0.00843 m

/kg and 0.02671 m

/kg respectively. The percentage of vapor in the mixture on mass basis (rounded off to two decimal places) is ________.

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The sublimation pressure of water vapor at 233 K is 13 Pa. Assume the water vapor to behave as an ideal gas (

), and the latent heat of sublimation is 2840 kJ/kg. The sublimation pressure of water vapor at 213 K, (rounded off to 2 decimal places), is ________ Pa.

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In a heating and humidification process, dry air (d.a) with relative humidity of 10% at ambient temperature of 10°C is mixed with superheated steam at temperature ‘T’. The resultant mixture is at 25°C with relative humidity of 50%. The total pressure before and after the process remains the same at 102 kPa. The saturated pressure of water vapor (

) at 10°C and 25°C are 1.2281 kPa, and 3.1698 kPa, respectively. The specific humidity in grams of water vapor per kg of dry air, can be calculated using

, where

and

are the partial pressures of water vapor and dry air respectively. The quantity of steam in grams (rounded off to 2 decimal places) added per kg of dry air is ______________.

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In a vapor compression system, a refrigerant leaves the evaporator and enters the compressor in saturated vapor condition at 0°C. The specific enthalpies of the saturated liquid and the saturated vapor at 0°C are 50 kJ/kg and 250 kJ/kg, respectively. The refrigerant leaves the compressor with a specific enthalpy of 300 kJ/kg. From the exit of the condenser, the refrigerant is throttled to the evaporator pressure. If the coefficient of performance (COP) of the refrigerator is 2.8 then the dryness fraction of the refrigerant entering the evaporator is __________.

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GATE XE format:nat PYQs

Question 18

Question 19

Question 20

Question 21

Question 22

Question 8

Question 9

Question 15

Question 16

Question 17