Complete GATE XE 2025 Paper 1 overview, original pages and practice · Timed previous-paper practice

Questions 103–105 of 175. Imported answers require review unless explicitly marked reviewed.

Paper practice 175 questionsPage 35 of 59

Question 103

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A stream of superheated steam (2 MPa, 300 °C) mixes with another stream of superheated steam (2 MPa, 400 °C) through a steady-state adiabatic process. The flow rates of the streams are 3 kg/min and 2 kg/min, respectively. This mixture then expands in an adiabatic nozzle to a saturated mixture with a quality of 0.77 and 1 kPa. Neglect the velocity at the nozzle entrance and the change in potential energies. The velocity at the nozzle exit (in m/s) is __________ (rounded off to two decimal places).
Use the following data:
At 2 MPa, 300 °C: Specific enthalpy of superheated steam = 3024.2 kJ/kg
At 2 MPa, 400 °C: Specific enthalpy of superheated steam = 3248.4 kJ/kg
At 1 kPa: Specific enthalpy of saturated water = 29.3 kJ/kg
At 1 kPa: Specific enthalpy of saturated vapour = 2513.7 kJ/kg

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Question 104

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A piston-cylinder assembly having 250 mm diameter contains 0.01 kg of water vapor at 1 MPa and 200 °C. The specific volume of the vapor is 0.20602 m

/kg. The system expands as per the relation

= constant, where p is pressure and V is volume. If the final pressure is 0.35 MPa, the value of the exponent (n) is __________ (rounded off to two decimal places).

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Question 105

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Air enters a air dryer at 22 °C and 100 kPa with a velocity of 3.7 m/s, and leaves the dryer at 83 °C and 100 kPa with a velocity of 9.1 m/s. The exit area of the dryer is 18.7 cm

, and the ambient temperature is 22 °C. The air is an ideal gas with gas constant

= 0.287 kJ/kg-K and isobaric specific heat

= 1.005 kJ/kg-K. If the change in potential energy is neglected, the second law efficiency (in %) of the dryer is __________ (rounded off to one decimal place).

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