ME GATE 2009 - Online Test

Q1. If a closed system is undergoing an irreversible process, the entropy of the system
Answer : Option D
Explaination / Solution:
No Explaination.


Q2. A coolant fluid at 30°C flows over a heated flat plate maintained at a constant temperature of 100°C. The boundary layer temperature distribution at a given location on the plate may be approximated as T = 30 + 70 exp (-y) where y (in m) is the distance normal to the plate and T is in °C. If thermal conductivity of the fluid is 1.0W/m2K, the local convective heat transfer coefficient (in W/ K) at that location will be 
Answer : Option B
Explaination / Solution:
No Explaination.


Q3. A frictionless piston-cylinder device contains a gas initially at 0.8MPa and 0.015 m3. It expands quasi-statically at constant temperature to a final volume of 0.030 m3. The work output (in kJ) during this process will be 
Answer : Option A
Explaination / Solution:
No Explaination.


Q4. In an ideal vapour compression refrigeration cycle, the specific enthalpy of refrigerant (in kJ/kg) at the following states is given as:
Inlet of condenser: 283
Exit of condenser: 116 
Exit of evaporator: 232 
The COP of this cycle is 
Answer : Option A
Explaination / Solution:
No Explaination.


Q5. A compressor undergoes a reversible, steady flow process. The gas at inlet and outlet of the compressor is designated as state 1 and state 2 respectively. Potential and kinetic energy changes are to be ignored. The following notation are used: v = specific volume and P = pressure of the gas. The specific work required to be supplied to the compressor for this gas compression process is
Answer : Option B
Explaination / Solution:
No Explaination.


Q6. Consider steady, incompressible and irrotational flow through a reducer in a horizontal pipe where the diameter is reduced from 20cm to 10cm. The pressure in the 20cm pipe just upstream of the reducer is 150 kPa. The fluid has a vapour pressure of 50kPa and a specific weight of 5 kN/m3. Neglecting frictional effects, the maximum discharge (in m3/s) that can pass through the reducer without causing cavitation is 
Answer : Option B
Explaination / Solution:
No Explaination.


Q7. In a parallel flow heat exchanger operating under steady state, the heat capacity rates (product of specific heat at constant pressure and mass flow rate) of the hot and cold fluid are equal. The hot fluid, flowing at 1 kg/s with Cp= 4kJ/kgK, enters the heat exchanger at 102°C, while the cold fluid has an inlet temperature of 15°C. The overall heat transfer coefficient for the heat exchanger is estimated to be 1kW/m2K and the corresponding heat transfer surface area is 5m2. Neglect heat transfer between the heat exchanger and the ambient. The heat exchanger is characterized by the following relation: 2ε = 1 - exp(-2NTU). The exit temperature (in °C) for the cold fluid is 
Answer : Option B
Explaination / Solution:
No Explaination.


Q8. In an air-standard Otto cycle, the compression ratio is 10. The condition at the beginning of the compression process is 100kPa and 27oC. Heat added at constant volume is 1500 kJ/kg, while 700 kJ/kg of heat is rejected during the other constant volume process in the cycle. Specific gas constant for air = 0.287kJ/kgK. The mean effective pressure (in kPa) of the cycle is
Answer : Option D
Explaination / Solution:
No Explaination.


Q9. An irreversible heat engine extracts heat from a high temperature source at a rate of 100kW and rejects heat to a sink at a rate of 50kW. The entire work output of the heat engine is used to drive a reversible heat pump operating between a set of independent isothermal heat reservoirs at 17oC and 75oC. The rate (in kW) at which the heat pump delivers heat to its high temperature sink is
Answer : Option C
Explaination / Solution:
No Explaination.


Q10. You are asked to evaluate assorted fluid flows for their suitability in a given laboratory application. The following three flow choices, expressed in terms of the two-dimensional velocity fields in the x-y plane, are made available. 
P. u = 2y, v = -3x; Q. u = 3xy, v = 0; R. u = -2x, v = 2y
Which flows(s) should be recommended when the application requires the flow to be incompressible and irrotational? 
Answer : Option D
Explaination / Solution:
No Explaination.