GATE XE 2021 Paper 1 — page 36

Complete GATE XE 2021 Paper 1 overview, original pages and practice · Timed previous-paper practice

Questions 106–108 of 175. Imported answers require review unless explicitly marked reviewed.

Paper practice 175 questionsPage 36 of 59

A frictionless piston cylinder device contains 1 kg of an ideal gas. The gas is compressed according to Pv¹·³ = constant (P is pressure and v is mass specific volume), from 100 kPa, 250 K, till it reaches a temperature of 500 K. The heat transfer from the piston cylinder device to its surroundings is __________ kJ (2 decimal places).

The characteristic gas constant is 287 J/(kg K) and the ratio of specific heat capacities is 1.4.

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A 0.8 m³ insulated rigid tank contains 1.5 kg of an ideal gas at 100 kPa. Electric work is done on the system until the pressure in the tank rises to 135 kPa. The loss in availability (exergy) associated with the process is __________ kJ (2 decimal places).

For the ideal gas, the characteristic gas constant is 188.9 J/(kg K) and the specific heat capacity at constant volume is 680 J/(kg K). The temperature of the dead state is 298 K.

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A rigid tank contains 1.0 kg of pure water consisting of liquid and vapour phases in equilibrium at 10 bar. If the liquid and vapour phase each occupies one half of the volume of the tank, then the net enthalpy of the contents of the tank is ______ kJ (1 decimal place).

For saturated liquid and vapour at 10 bar, the thermodynamic data table provides the following value:

v_f = 1.127 × 10⁻³ m³/kg, v_g = 194.3 × 10⁻³ m³/kg, h_f = 762.6 kJ/kg, h_g = 2776.2 kJ/kg

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2021 · Paper 1

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