GATE XE topic:engineering-sciences PYQs & Answers — Page 118

Questions 1171–1180 of 1772. Imported answers require independent review unless marked reviewed.

A 4-m

reservoir contains 10 kg of a real gas at 200 K. If this gas follows the van der Waal’s equation of state with

.kPa/kg

/kg and

kJ/kg.K, then the reservoir pressure (in kPa) is

Your answerChoose one option.

93.5

94.6

95.7

101.3

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Air at a pressure of 86 kPa and specific volume of 1 m

/kg is heated at constant pressure till it reaches 627 °C. Air is assumed to be an ideal gas with constant specific heats. It has the gas constant of 0.287 kJ/kg.K and ratio of specific heats of 1.4. The change in specific entropy of air (in kJ/kg.K) during this process will be

Your answerChoose one option.

1.104

0.740

0.788

0.529

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An air standard Otto cycle has compression ratio of 4. The compression ratio of this cycle is changed to 6. If the ratio of specific heats is 1.4, the percentage increase in its thermal efficiency will be

Your answerChoose one option.

20.2

27.2

42.6

51.2

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In a mixture of gas there are 0.1 kmol of oxygen (O

), 0.1 kmol of nitrogen (N

) and 0.8 kmol of methane (CH

). If the molar mass of O

, N

and CH

are 32 kg/kmol, 28 kg/kmol and 16 kg/kmol, respectively, then the mass fraction of N

in the gas mixture is

Your answerChoose one option.

0.100

0.170

0.148

0.680

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A particular gas sample is initially maintained at 600 cm

and 100 kPa. It is compressed during a quasistatic process following the relation

. The compression continues till the volume becomes 200 cm

. The magnitude of the corresponding work transfer (in kJ) (rounded off to 2 decimal places) is ________.

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Carbon dioxide (CO

) enters an adiabatic rigid nozzle steady at 1 MPa and 500 °C with a mass flow rate of 1.5 kg/s. The inlet area of the nozzle is 40 cm

and the exit velocity is 10 times of that at the inlet. If CO

can be considered as an ideal gas with gas constant of 0.19 kJ/kg.K and the ratio of specific heats of 1.29, the exit temperature (in K) (rounded off to 1 decimal place) is ________.

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A closed system containing 8 kg of gas undergoes an expansion process following the relation

. The initial and final pressures are 1 MPa and 5 kPa, respectively, while the initial volume is 1 m

. If the specific internal energy of the gas decreases by 40 kJ/kg during the process, the heat transfer (in kJ) associated with the process (rounded off to 1 decimal place) is ________.

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Saturation pressure of water at 5 °C is 0.8725 kPa. If the latent heat of vaporization is 2489.1 kJ/kg and gas constant is 0.4615 kJ/kg.K, then the saturation pressure at 10 °C (in kPa) (rounded off to 2 decimal places) is ________.

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The turbine inlet conditions of a Rankine cycle are 10 MPa and 500 °C, while the condenser pressure is 10 kPa. The enthalpy and entropy of saturated liquid at 10 kPa are 191.8 kJ/kg and 0.6492 kJ/kg.K, respectively, while the enthalpy and entropy of vaporization at 10 kPa are 2392.1 kJ/kg and 7.4996 kJ/kg.K, respectively. The enthalpy and entropy at the inlet to the turbine are 3375.1 kJ/kg and 6.995 kJ/kg.K, respectively. The condenser outlet has saturated liquid. Neglecting the pump work, the thermal efficiency (in %) of the cycle (rounded off to 1 decimal place) is ________.

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The minimum and maximum temperatures of an air standard Brayton cycle are 300 K and 1100 K, respectively. The pressure ratio of this cycle is 6. The ratio of specific heats is 1.4 and the specific heats are constant. For this cycle, the ratio of network output to the turbine work (rounded off to 2 decimal places) is ________.

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GATE XE topic:engineering-sciences PYQs

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19

Question 20

Question 21