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GATE ME 2022: Thermodynamics Quiz 1 (App update required to attempt this test)

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Question 1

A steel tank filled with helium is used for filling balloons at a birthday party. In the tank the gas is at a pressure of 2.5bar and 300K with a volume of 0.2 After filing some balloons, the pressure in the tank drops down to 1.2bar and the flow stops. If helium is still at 300k in the tank and the pressure varies linearly with volume being 0 at 1 bar to 1.2bar. Calculate the heat transfer that takes place _____kJ

Question 2

The fundamental thermodynamic relation for a rubber band is given by dU = TdS + dL, where T is the absolute temperature, S is the entropy, is the tension in the rubber band, and L is the length of the rubber band.

Which one of the following relations is Correct.

Question 3

Find out final  temperature of 1.2 kg of air initially at 7.5 bar pressure and 410 K expands polytropically (pv1.2 = constant) until the pressure is reduced to one-third value.
Take R = 0.287 kJ/kg K; γ = 0.4. Polytrophic Coefficient (n) = 1.2

Question 4

In a hypothetical cycle, there are two heat engines with efficiencies and . The work output from these engines is used to run the refrigerator as shown in figure.
 
Find the condition for which the COP of the refrigerator is greater than 1.5

Question 5

A rigid tank is divided into two compartments by a partition. One side contains 5kmol of carbon dioxide while the other side contains 8kmol of oxygen. Both the gases are initially at 300K and 0.25MPa. The tank is insulated and the partition is removed. Assuming ideal gas behavior and surroundings at 300K. Calculate the irreversibility associated with this process (MJ)

Question 6

One side of wall is maintained at 400K and other is at 300K. The rate of het transfer through the wall is 1000W and the surroundings temperature is 25°C. Assuming no generation of heat within the wall, the irreversibility (in w) due to heat transfer through the wall is:-
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