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IIT JEE Worksheets

1.

Liquid water of mass 10Kg at temperature 20ºC is mixed with 2 Kg of ice at -5ºC till equilibrium is reached at 1atm pressure. Find the entropy change of the system . Given Cp of ice = 2.09KJ/KgK and latent heat of fusion of ice = 334 KJ/Kg.

1.

106.7 J/K

2.107.8 J/K

3.105.5 J/K

4.104.5 J/K

2.

1 Kg of oxygen at 1 bar and 450 K is mixed with 1 Kg of hydrogen at the same temperature and pressure by removing the diaphram . Determine the loss in availability if the surrounding temperature is 300 K assume that the system is fully insulated.

1.

280.69KJ

2.296.4KJ

3.274.6KJ

4.291.36KJ

3.

3 kg of a gas (Cv= 0.81 KJ/kgK) initially at 2.5 bar and 300 K, contained in a rigid container , recieves 600KJ of heat from an nfinite source at 1100 K . If the surrounding temperature is 290 K , find the loss in available energy due to above heat transfer.

1.

151.42KJ

2.146.89KJ

3.181.85KJ

4.141.25KJ

4.

Two vessels A and B , each of volume 3 m³ may be connected by a tube of negligibe volume. Vessel A contains air at 0.7 MPa , 95ºC while vessel B contains air at 0.35 MPa , 205ºC . Find the change in entropy when A and B are connected assuming the two vessels are completely insulated.

1.

0.947KJ/k

2.0.962KJ/k

3.0.627KJ/k

4.0.944KJ/k

5.

A heat pump with a COP of 2.4 is used to heat a house. When running, the heat pump consumes 8 KW of electric power . If the house is loosing heat to the outside at an average rate of 40,000KJ/hr and the temperature of the house is 3ºC when the heat pump is turned on , determine how long it will take for the temperature to rise to 22ºC . Assume the house is well sealed and take the entire mass within the house to be equivalent to 2000 kg of air ,

1.

2215sec

2.3473sec

3.4187sec

4.3373sec

6.

An evacuated bottle is fitted with a valve through which air from the atmosphere at 780 mm of Hg, 25ºC is allowed to flow slowly to fill the bottle . If no heat is transferred to or from the air in the bottle , what will be its temperature when the pressure in the bottle is 780 mm of Hg,

1.

25ºC

2.58.6ºC

3.144.2ºC

4.81.2ºC

7.

An insulated tank initially contains 0.25kg of a gas with an internal energy of 200KJ/kg. Additional gas with an internal energy of 300KJ/kg and an enthalpy of 400KJ/kg enters the tank untill the total mass of the gas contained is 2 kg. The final internal energy (in KJ/kg) of the gas in the tank is

1.

500

2.575

3.750

4.825

8.

when gas expands under adiabatic conditions , its temperature

1.

increase

2.decrease

3.remain same

4.none of these

9.

The amount of time between the creation and disappearance of free electrons is called

1.

Recombination

2.bound electrons

3.drift velocity

4.life time of the carriers

10.

- The largest integer for which divides is

1.

3115

2.3120

3.3125

4.3130

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