GATE XE discipline:engineering-sciences PYQs & Answers — Page 153

Questions 1521–1530 of 1772. Imported answers require independent review unless marked reviewed.

A reversible engine receives 75 kJ/s of energy from a reservoir at 750 K and does 12 kJ/s of work. The heat is rejected to two reservoirs at 650 K and 550 K. The rate of heat rejection (in kJ/s) to the reservoir at 650 K is

Your answerChoose one option.

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A gas obeys the following equation of state:

where

is molar volume, and

are constants with values

J.K/Pa

.kmol and

/kmol. Take

kJ/kmol.K. At 10 bar and 500 K, the value of the Joule-Thomson coefficient (in K/Pa) is

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In an ideal Rankine cycle, steam enters the turbine at 10 MPa and 500 °C (

kJ/kg,

kJ/kg.K). It is cooled in the condenser at a pressure of 10 kPa. At 10 kPa,

kJ/kg,

kJ/kg.K,

kJ/kg and

kJ/kg.K. The heat rejected in the condenser (in kJ/kg) is

Your answerChoose one option.

1898

3796

949

2847

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Methane has compressibility factor value of 0.9 at reduced pressure of 1.0 and reduced temperature of 1.5. For propane, the critical temperature and pressure are 369.8 K and 42.48 bar, respectively. Take R = 8.314 kJ/kmol.K. Applying the principle of corresponding states, the molar volume of propane (in m

/kmol) at the same reduced pressure and temperature is

Your answerChoose one option.

0.355

0.526

0.791

0.977

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A rigid insulated vessel is divided into two compartments by a partition. One compartment contains 12 kg of oxygen at 200 kPa and 280 K. The other compartment contains 26 kg of carbon dioxide at 400 kPa and 360 K. The specific heats at constant volume in kJ/kg.K for oxygen and carbon dioxide are 0.662 and 0.653, respectively. The partition is removed and the gases are allowed to mix. Considering both gases are ideal, the final temperature (in K) of the mixture (up to 1 decimal place) is ________.

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Moist air having 60% relative humidity, enters a steady-flow air-conditioning unit at 102 kPa and 30 °C. The volume flow rate of the moist air entering the unit is 0.1 m

/s. The moist air leaves the unit at 95 kPa and 15 °C with a relative humidity of 100%. Liquid condensate leaves the unit at 15 °C. For water: at 15 °C,

kJ/kg,

kPa. At 30 °C,

kJ/kg,

kPa. For air, specific heat at constant pressure is 1.004 kJ/kg.K and the specific gas constant is 0.287 kJ/kg.K. Neglecting heat leakage to the surrounding, the magnitude of heat extracted (in kW) from the air stream (up to 2 decimal places) is ________.

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Air at 150 kPa and 323 K is filled in a rigid vessel of 0.05 m

capacity. For air, assumed as an ideal gas, specific heat at constant volume is 0.7163 kJ/kg.K and the specific gas constant is 0.287 kJ/kg.K. Neglect kinetic and potential energy changes. If 30 kJ of heat is added, the final temperature (in K) of air (up to 1 decimal place) is __________.

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Superheated steam at 2 bar and 300 °C, with an enthalpy of 3072.1 kJ/kg, enters a horizontal adiabatic nozzle with negligible velocity and leaves at 0.2 bar as saturated vapour with an enthalpy of 2609.9 kJ/kg. Assuming steady flow and neglecting the potential energy changes, the exit velocity (in m/s) of the steam (up to 1 decimal place) is __________.

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A given mass of a simple compressible substance undergoes a reversible cycle, as shown in the P-V diagram. The magnitude of the net work done during the cycle is 3 kJ. The pressure (in bar) at point C (up to 1 decimal place) is ________.

Diagram for Engineering Sciences question 20

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One kmol of an ideal gas at 300 K and 10 bar is reversibly heated in a constant volume process to 500 K. It is then reversibly and isothermally expanded to 2 bar. Take

kJ/kmol.K and R = 8.314 kJ/kmol.K. The total heat supplied (in kJ) to the gas (up to 1 decimal place) is ________.

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GATE XE discipline:engineering-sciences PYQs

Question 12

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Question 16

Question 17

Question 18

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Question 20

Question 21