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Carnot engine and thermodynamics by prof Temmy

Total questions: 55

Worksheet time: 3hrs 5mins

Name
Class
Date
1.

Which law of thermodynamics is used to understand the concept of energy conservation?

a)

Zeroth law

b)

First law

c)

Second law

d)

None of these

2.

In which thermodynamic process is there no flow of heat between the system and the surroundings.

a)

Isobaric

b)

Isothermic

c)

Adiabatic

d)

Isochoric

3.

If the temperature of the source is increased, the efficiency of carnot heat engine

a)

Increases

b)

Decreases

c)

Remains constant

d)

First increases then becomes constant

4.

An ideal heat engine operates in Carnot's cycle between 227 degree C and 127 C. it absorbs 6 x 10 ^4 J at high temperature. The amount of heat converted into work is

a)

4.8 x 10^4 J

b)

3.5 x 10^4 J

c)

1.6 x 10^4 J

d)

1.2 x 10^4 J

5.

What is the source temperature of the Carnot engine in K required to get 70% efficiency? Given sink temperature is 27 degree C.

a)

1000 K

b)

90 K

c)

270 K

d)

727 K

6.

110 Joule of heat is added to a gaseous system, whose internal energy is 40 J.

Then the amount of external work done is

a)

150 J

b)

70 J

c)

110 J

d)

40 J

7.

The second law of thermodynamics introduces the concept of

a)

Heat

b)

Temperature

c)

Entropy

d)

Internal energy of the system

8.

Heat does not spontaneously flow from a colder body to a hotter one. Which of the following thermodynamics law states this?

a)

Zeroth law of thermodynamics

b)

First law of thermodynamics

c)

Second law of thermodynamics

d)

Third law of thermodynamics

9.

According to Carnot's discoveries, in the perfect heat engine, Qc/Qh = ?

a)

Pc / Ph

b)

1

c)

Tc / Th

d)

W

10.

A Carnot engine function between two reservoir between 527 0C and 127 0C . Calculate the carnot efficiency for the engine.

a)

50 %

b)

60 %

c)

65 %

d)

75 %

e)

80 %

11.

A carnot cycle is to be designed to attain efficiency of 0.75. if temperature of high temperature reservoir is 727ºC, then low temperature reservoir will have to be maintained at ___________

a)

23ºC

b)

181ºC

c)

-23ºC

d)

-181ºC

12.

How to identify TH and TL?

a)

TH = pressure with high value and TL= pressure with low value

b)

TH = pressure with low value and TL= pressure with high value

c)

TH = temperature with low value and TL= temperature with high value

d)

TH = temperature with high value and TL= temperature with low value

13.

1200 J of heat are added to a sample of gas while the gas does 400 J of work on the environment. What is the change in internal energy of the gas?

a)

800 J

b)

1600 J

c)

-800 J

d)

-1600 J

14.

In an isothermal process

a)

du = -dv

b)

dQ = du

c)

dQ = Cp dT + Pdv

d)

dQ = dw

15.

A carnot engine operates between 227o C and 127o C. The efficiency of the engine is

a)

10%

b)

20%

c)

40%

d)

50%

16.

According to Joule-Kelvin effect which of the following suffer slight rise in temperature

a)

Oxygen

b)

Nitrogen

c)

Helium

d)

Carbon Dioxide

17.

If heat added to the cycle is 40 kJ and the one rejected is 20 kJ then the efficiency of the cycle will be

a)

40%

b)

50%

c)

60%

d)

100%

18.

What is its efficiency if an engine takes 5 J of heat energy from a reservoir and rejects 3 J to the surroundings?

a)

2/5

b)

3/5

c)

1/5

d)

0

19.

What is the correct order of steps for a Carnot cycle?

a)

Isothermal expansion, adiabatic expansion, isothermal compression, adiabatic compression

b)

Isothermal compression, adiabatic expansion, isothermal expansion, adiabatic compression

c)

Adiabatic compression, adiabatic expansion, isothermal expansion, isothermal compression

d)

Adiabatic compression, isothermal expansion, adiabatic expansion, and isothermal compression

20.

Amount of energy required to raise the temperature of a substance of 1 Kg mass by 10C is called

a)

Specific entropy

b)

Specific heat capacity

c)

Sensible heat

d)

Latent Heat

21.

If the temperature of the source is increased, the efficiency of carnot heat engine

a)

Increases

b)

Decreases

c)

Remains constant

d)

First increases then becomes constant

22.

The distance travelled by an atom between two successive collisions is called

a)

Wavelength

b)

Displacement

c)

Free path

d)

Mean free path

23.

In which thermodynamic process is there no flow of heat between the system and the surroundings.

a)

Isobaric

b)

Isothermic

c)

Adiabatic

d)

Isochoric

24.

An ideal heat engine operates in Carnot's cycle between 227 degree C and 127 C. it absorbs 6 x 10 ^4 J at high temperature. The amount of heat converted into work is

a)

4.8 x 10^4 J

b)

3.5 x 10^4 J

c)

1.6 x 10^4 J

d)

1.2 x 10^4 J

25.

What is the source temperature of the Carnot engine in K required to get 70% efficiency? Given sink temperature is 27 degree C.

a)

1000 K

b)

90 K

c)

270 K

d)

727 K

26.

What is the value of the absolute thermodynamic temperature scale?

a)

3K

b)

0K

c)

1K

d)

4K

27.
What does the heat capacity of an object measure?
a)
the amount of energy required to change the temperature of an object
b)
the total amount of energy an object can store
c)
the thermal potential energy of the object
d)
the amount of work done by the object
e)
the amount of energy required to melt a solid object
28.

The high reservoir is in 100 degree celcius, and the low reservoir is in 10 degree celcius. The efficiency of this carnot engine is ....

a)

75,9%

b)

24,1%

c)

90%

d)

10%

29.

A carnot engine absorbs 500 kJ of heat. This machine works in reservoir with a temperature of 600 K and 400 K. How much heat is wasted by machine

a)

333,3 kJ

b)

33,33 kJ

c)

35 kJ

d)

53,3 kJ

e)

55 kJ

30.

A Carnot engine function between two reservoir between 527 0C and 127 0C . Calculate the carnot efficiency for the engine.

a)

50 %

b)

60 %

c)

65 %

d)

75 %

e)

80 %

31.

In one cycle a Carnot's heat engine takes place 100 calories of heat from a source and rejects 50 cal to the sink. Its efficiency is

a)

100%

b)

50%

c)

25%

d)

15%

32.

In an adiabatic process, what equals zero?

a)

Q

b)

W

c)

ΔU

d)

T

33.

On a gas has been noticed a decrease in the volume by 0.2 m3 at a constant pressure of 1 atm during the addition of 12 000 J of heat. The change in the internal energy of the gas is:

a)

-12 000 J

b)

32 000 J

c)

8 000 J

d)

- 18 000 J

34.

80 J of heat is extracted from a gaseous system, whose change in internal energy is 50 J. Then the amount of external work done on the gas is:

a)

- 130 J

b)

- 30 J

c)

30 J

d)

130 J

35.

1000 J of energy were extracted from a gas sample while the gas did 300 J of work on the environment. The change in the internal energy of the gas is:

a)

1300 J

b)

-700 J

c)

-300 J

d)

-1300 J

36.

The internal energy change in a system that has absorbed 2000 J of heat and on the gas a work of 500J has been done by the external forces is

a)

1500 J

b)

-1500 J

c)

2500 J

d)

-500 J

37.

In Carnot cycle _______________ processes are there

a)

3

b)

4

c)

5

38.

A gas is heated by supplying it with 250 kJ of

energy; at the same time, it is compressed

so that 500 kJ of work is done on the gas.

Calculate the change in the internal energy of

the gas.

a)

250 kJ

b)

750 kJ

c)

-250 kJ

d)

500 kJ

39.

A Carnot engine operates between 200°C and 20°C. Its maximum possible efficiency is

a)

90%

b)

100%

c)

38%

d)

24%

e)

72%

40.

Find the energy released by a copper block when it is cooled from 100°C to 20°C. Given that the heat capacity of the block is 770 J°C-1.

a)

7.70x104 J

b)

8.61x104 J

c)

6.16x104 J

d)

5.02x104 J

41.

When an electric heater is supplied with an electric power of 2.0 kW to heat 4.0 kg of water for 1 minute, calculate the increase in temperature of the water. Assume that the specific heat capacity of water is 4200 J kg-1 0C-1 and there is no heat loss to the surroundings.

a)

3.050C

b)

7.10C

c)

140C

d)

300C

42.

In order to make a cup of milk coffee at 78°C, 200 g of coffee is mixed up with 40 g of milk. If the original temperature of the coffee is 80°C, find the original temperature of the milk. Assume that there is no heat lost to the surroundings. Given that the specific heat capacity of coffee and milk are 4000 J kg-1 °C-1 and 3900 J kg-1 °C-1 respectively.

a)

10.3°C

b)

20.7°C

c)

45.2°C

d)

67.7°C

43.

Find the energy released by 0.3 kg of a liquid sample at 200oC to change to its solid state at 50oC. Given that the specific heat capacity of the sample in solid state and liquid state are 770 J kg-1 oC-1 and 900 J kg-1 oC-1 respectively.

The melting point of the sample is 100oC and the specific latent heat of fusion of it is 10 kJ kg-1.

a)

4.17 x 103 J

b)

8.86 x 103 J

c)

2.10 x 104 J

d)

4.16 x 104 J

44.

If 5.0 x 105 J of energy is absorbed by a block of ice when it is heated from -5oC to 0oC, find the mass of the ice.

Given that the specific heat capacity of ice is 2.05 x 103 J kg-1 oC-1 and the specific latent heat of fusion of ice is 3.34 x 105 J kg-1.

a)

1.45 kg

b)

2.56 kg

c)

3.01 kg

d)

3.27 kg

45.

Calculate the energy absorbed by 30 g of 100 ⁰C water that is turned into 100 ⁰C.

a)

67 800 J

b)

6 7800 J

c)

678 J

d)

67.8 J

46.

Choose the correct characteristics of a solid. (More than 1 answer)

a)

Fixed shape and volume

b)

Strong forces of attraction between particles

c)

in lattice

d)

atoms only vibrates

e)

particles slide past each other when receives heat.

47.

Calculate the energy absorbed by 30 g of 100 ⁰C water that is turned into gas at 100 ⁰C.

specific heat capacity of water = 4200 J / (kg °C)

Specific latent heat of vaporization = 2.26 × 10610^6    J/kg

a)

67 800 J

b)

6 7800 J

c)

678 J

d)

67.8 J

48.

How much energy is needed to raise the temperature of 5.0 grams of lead from 25°C to 35°C?

[specific heat capacity of lead = 0.129 J/(g °C)]

a)

6.45 J/(g•°C)

b)

6.45 J

c)

16.1 J/(g•°C)

d)

d.16.1 J

49.

The specific heat capacity (c) of copper is 0.39 J/g °C.

What is the temperature change(∆T) when 100 Joules of heat(Q) is added to 20 grams of copper?

a)
12.82 °C
b)
24.12°C
c)
351 °C
50.

If a 8.50 g ice cube at -10o C that sits out on the counter completely melts, and then warms to room temperature (25 o C),

how much energy did the ice cube absorb?

Use C for ice = 2.108 J/(g oC) , C for water = 4.184 J/(g oC) , and Lfusion = 334 J/g.

a)

179.18 J

b)

2839 J

c)

889.1 J

d)

3907.3 J

51.
When a  piece of aluminum foil is taken out of the oven and cools from 100°C to 50°C.
What is the change in temperature?
a)
50°C
b)
0°C
c)
100°C
d)
150°C
52.
When a baked potato at 10 °C is heated to 180 °C in the oven its temperature change is
a)
170 °C
b)
10 °C
c)
180 °C
d)
190 °C
53.
How much energy is required to heat up 12kg of copper from 10 °C to 120 °C. The specific heat capacity is 390 J/kg °C.
a)
46800 J
b)
561600 J
c)
514800 J
54.
If a 8.50g ice cube at -10o C sits out on the counter, completely melts, and then warms to room temperature (25o C) how much energy did the ice cube absorb? Use C = 2.108 J/goC for ice, C = 4.184 J/goC for water, and Hf = 334 J/g.
a)
179.18 J
b)
2839 J
c)
889.1 J
d)
3907.3 J
55.
How much energy is required to completely boil away 150g of 10o C water? Use C = 4.184 J/goC for water, and Hv = 2260 J/g.
a)
56,484 J
b)
339,000 J
c)
395,484 J
d)
385,484 J