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GATE 2019: Thermodynamics Rapid Quiz-4

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Question 1

In a system, 500 kJ of energy is transferred from a heat reservoir at 1200 K to a heat reservoir at 350 K. If the ambient temperature is 27 °C then the loss of available energy due to heat transfer process is ____kJ.

Question 2

The engine of the car has 3 cylinders of 68 mm bore and 37.5 mm crank radius. The compression ratio is 8. The clearance volume of each cylinder is _________ cm3.

Question 3

A petrol engine uses fuel of calorific value 44000 kJ/kg and has specific gravity of 0.74. The brake thermal efficiency and mechanical efficiency are 25% and 75% respectively. If the engine develops 50 kW then what will be the fuel consumption (in litres per hour) and indicated thermal efficiency (%) respectively?

Question 4

For an otto cycle mean effective pressure is 15 bar. Bore diameter of the cyclinder is 0.2m and stroke length is 0.5 m. Heat supplied at constant volume is 30 kJ/cycle. Find cycle efficiency.

Question 5

A car engine operates at a fuel-air ratio of 0.05, volumetric efficiency of 90% and indicated mean effective pressure is 6 bar. If the calorific value of fuel is 45000 kJ/kg and density of air at intake is 1 kg/m3, then the indicated thermal efficiency of the cycle is ____________%.

Question 6

A refrigerator based on ideal vapour compression cycle operates between the temperature limits of –20 °C and 40 °C. The refrigerant enters the condenser as saturated vapour and leaves as saturated liquid. The enthalpy and entropy values for saturated liquid and vapour at these temperatures are given in the table below.
Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE ME-28-Mar\GATE-ME-2003_files\image448.png
If refrigerant circulation rate is 0.025 kg/s, the refrigeration effect is equal to

Question 7

Using the Clausius–Clapeyron equation find the enthalpy of vaporization(in kJ/kg). The following data is given:  At 200°C, vg=0.1275 m3/kg  and V= 0.001157 m3/kg and change of pressure with respect to temperature Description: Description: 02_Thermodynamics_BLok_files\image035.png.


Question 8

Steam flows through an adiabatic steady flow turbine.The enthalpy at entrance is 4142 kJ/kg and at exit is 2500 kJ/kg.The values of flow availability of steam at entrance and exit are 1850 kJ/kg and 140 kJ/kg respectively.If the dead state temperature (T0)=300k then for the given change of state of asteam.The change of entropy steam is _______kJ/kg-k.
[neglect the changes in kinetic and potential energy]

Question 9

A Francis turbine running at 200 rpm develops a power of 5000 kW under a head of 25 m. Determine the power output and speed under a head of 100 m.

Question 10

A heat engine receives half of its heat supply at 1000 K and half at 500 K while rejecting heat to a sink at 300 K. What is the maximum thermal efficiency (in %) of the heat engine?

Question 11

Dry and saturated steam at pressure 11 bar is supplied to a turbine and expanded isentropically to pressure 0.07 bar. (Take enthalphy at exist of turbine= 2035 kJ/Kg . Thermal efficiency of the cycle is _______%. Consider the pump work also. Related Steam table is given below:


Description: E:\Gate\SSC JE Mechanical Part 1\Made Easy Questions\11_IC-Engine-PPMS_BLok1_files\image053.jpg

Question 12

The Pressure ratio across a gas turbine (for air, specific heat at constant pressure, and ratio of specific heats, is 10. If the inlet temperature to the turbine is 1200K and the isentropic efficiency is 0.9, the gas temperature at turbine exit is ______ K.
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Feb 25ESE & GATE ME