GATE ME 1. Thermodynamics Chapter Thermodynamics Test

Question 1
2 / -0.33

A single fixed point temperature scale is based on

A
Ice point

B
Steam point

C
Triple point of water

D
Critical point of water

Question 2
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A fan is used to deliver air at the rate of 5 m³/s with a velocity of 10 m/s. Find the power in Watts that must be supplied to the fan. Density of air = 1.2 kg/m³.

A
299.5-300.5

B
299.54-300.51

C
299.57-300.56

D
299.59-300.52

Question 3
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A cylinder contains 5 m³of ideal gas at a pressure of 1 bar. This gas is compressed in a reversible isothermal process till its pressure increases to 5 bar. The work in kJ required for this process is

A
804.7

B
953.2

C
981.7

D
1012.2

Question 4
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One reversible heat engine operates between 1000 K and T₂K and another reversible heat engine operates between T₂K and 400 K. If both the engines have the same heat input and output, then the temperature T₂ must be equal to:

A
582.7 K

B
632.5 K

C
682.8 K

D
732.5 K

Question 5
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Two air streams with mass flow rates of 36 kg/min and 14 kg/min with respective enthalpies of 36 kJ/kg da and 50 kJ/kg da are mixed. The enthalpy of the mixture is nearly

A
64 kJ/kg da

B
55 kJ/kg da

C
46 kJ/kg da

D
40 kJ/kg da

Question 6
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A 20 kg solid whose specific heat is 2.8 kJ/kg°C is at uniform temperature of 100°C. For an environment temperature of 20°C the exergy content of this solid in kJ is

A
518-525

B
5184-5251

C
5187-5256

D
5189-5252

Question 7
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Which one of the following relationships defines the Helmholtz function F?

A
F = H + TS

B
F = H – TS

C
F = U – TS

D
F = U + TV

Question 8
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A 1 m³ rigid tank contains 10 kg of water (in any phase or phases) at 160°C. The pressure in the tank is
(steam table is given below)
Temperature
(°C)
Saturation Pressure
(kPa)
Specific volume
m³/kg
v_f
v_g
160
618
0.001102
0.3068

A
Equal to 618 kPa

B
Greater than 618 kPa

C
Less than 618 kPa

D
Not possible to determine with the given data

Question 9
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If the work done on a closed system is 20 kJ/kg, and 40 kJ/kg heat is rejected from the system, change in internal energy is

A
20 kJ/kg

B
60 kJ/kg

C
-20 kJ/kg

D
-60 kJ/kg

Question 10
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A balloon containing an ideal gas is initially kept in an evacuated and insulated room. The balloon ruptures and the gas fills up the entire room. Which one of the following statements is TRUE at the end of above process ?

A
The internal energy of the gas decreases from its initial value, but the enthalpy remains constant

B
The internal energy of the gas increases from its initial value, but the enthalpy remains constant

C
Both internal energy and enthalpy of the gas remain constant

D
Both internal energy and enthalpy of the gas increase

Question 11
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A mixture of gas has following composition by the mass
gas
Mass %
C_p (kJ/kg.K)
C_v (kJ/kg.K)
1
50
1.2
0.9
2
30
1.5
1
3
20
1.3
1.1

Find the ratio of the specific heats (C_p/C_v) of the mixture _____ up to three decimal places.

A
1.34-1.36

B
1.344-1.361

C
1.347-1.366

D
1.349-1.362

Question 12
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The saturation temperature of water is given as 200°C at 15.54 bar. The properties of the water vapour is given in the table below,
Temperature
(°C)
Saturation Pressure
(bar)
Specific volume
m3/kg
Specific enthalpy
kJ/kg
vf
vg
hf hg
200
15.54
0.001156
0.12736
852.43 2793.2
then find ou the value of \({\left( {\frac{{dP}}{{dT}}} \right)_{sat}} \)in kPa/K

A
32.51 kPa/K

B
76.88 kPa/K

C
35.43 kPa/K

D
15.378 kPa/K

Submit Test

gas	Mass %	C_p (kJ/kg.K)	C_v (kJ/kg.K)
1	50	1.2	0.9
2	30	1.5	1
3	20	1.3	1.1

Thermodynamics ...

Question 1

Ice point

Steam point

Triple point of water

Critical point of water

Question 2

299.5-300.5

299.54-300.51

299.57-300.56

299.59-300.52

Question 3

804.7

953.2

981.7

1012.2

Question 4

582.7 K

632.5 K

682.8 K

732.5 K

Question 5

64 kJ/kg da

55 kJ/kg da

46 kJ/kg da

40 kJ/kg da

Question 6

518-525

5184-5251

5187-5256

5189-5252

Question 7

F = H + TS

F = H – TS

F = U – TS

F = U + TV

Question 8

Equal to 618 kPa

Greater than 618 kPa

Less than 618 kPa

Not possible to determine with the given data

Question 9

20 kJ/kg

60 kJ/kg

-20 kJ/kg

-60 kJ/kg

Question 10

The internal energy of the gas decreases from its initial value, but the enthalpy remains constant

The internal energy of the gas increases from its initial value, but the enthalpy remains constant

Both internal energy and enthalpy of the gas remain constant

Both internal energy and enthalpy of the gas increase

Question 11

1.34-1.36

1.344-1.361

1.347-1.366

1.349-1.362

Question 12

32.51 kPa/K

76.88 kPa/K

35.43 kPa/K

15.378 kPa/K

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