# Multiple choice question for engineering

## Set 1

1. Which of the following is not the equation of state?

a) Van der waals Equation

b) Charles Equation

c) Holborn Equation

d) Peng Robinson Equation

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2. Virial Equation is a ______

a) Arithmetic Progression

b) Geometric Progression

c) Harmonic Progression

d) None of the mentioned

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^{2}+ 1/V

^{3}+ – – – – -), which is a geometric progression.

3. If the vander waal equation has only one root, what is the relation between a and b?

a) 729a = pb^{2}

b) 243a = pb^{2}

c) 81a = pb^{2}

d) 9a = pb^{2}

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^{3}– (nb + nRT/p)V

^{2}+ (n

^{2}a/p)V – n

^{3}ab/p = 0, comparing with (V – V

_{c})

^{3}= 0, => 3n(a/p)

^{1/2}= n(ab/p)

^{1/3}, => 729a = pb

^{2}.

4. A container has O_{2} at 5 atm and molar volume 2 liter/mole, if a = 9.24 atm(liter/mole), b = 0.0907 liter/mole, what is the temperature of O_{2}? (Use vander waal equation)

a) 140 K

b) 150 K

c) 170 K

d) 190 K

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^{2})(V – b) = RT, => T = (5 + 9.24/2

^{2})(2 – 0.0907)/0.0821 = 170 K.

5. A container has H_{2} at 27^{o}C and molar volume 1 liter/mole, if a = 9.24 atm(liter/mole), b = 0.0907 liter/mole, what is the temperature of H_{2}? (Use vander waal equation)

a) 7.5 atm

b) 12.4 atm

c) 15.6 atm

d) 17.8 atm

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^{2})(V – b) = RT, => p = 0.0821*300/(1 – 0.0907) – 9.24/1

^{2}= 17.8 atm.

6. What is the pressure of CO_{2} at 0^{o}C, molar volume = 4 liter/mole, if B = – 0.053 liter/mole, C = 0.0026 liter^{2}/mole^{2}? (Use virial equation, neglect higher terms)

a) 2.4 atm

b) 4.1 atm

c) 5.5 atm

d) 6.9 atm

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^{2}), => p = (0.0821*273/4)(1 – 0.053/4 + 0.0026/16) = 5.5 atm.

7. A container is filled with a gas at 10 atm with molar volume 1 liter/mole, if B = – 0.053 liter/mole, C = 0.0026 liter^{2}/mole^{2}, what is the temperature of gas? (Use virial equation, neglect higher terms)

a) 128.2 K

b) 156.9 K

c) 198.5 K

d) 243.6 K

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^{2}), => T = 10*1/[0.0821*(1 – 0.053/1 + 0.0026/1

^{2})] = 128.2 K.

8. What is the unit of ‘b’ in Peng Robinson equation?

a) Liter/mole

b) Liter^{2}/mole^{2}

c) Mole/Liter

d) Mole^{2}/Liter^{2}

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9. What is the unit of λ in SRK equation?

a) Liter/mole

b) Mole/Liter

c) Atm(liter/mole)

d) It is dimensionless

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10. What is the unit of ‘a’ in RK equation?

a) Liter/mole

b) Atm(liter/mole)

c) Atm(liter/mole)K^{0.5}

d) Atm(liter/mole)K

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^{0.5}V(V + b)], => unit of a = atm(liter/mole)K

^{0.5}.

## Set 2

1. Which of the following is the unit of flow rate?

a) Kg/s

b) Liters/s

c) Moles/s

d) All of the mentioned

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2. Which of the following is not conserved for the flow of an incompressible liquid in a pipe with variable area?

a) Mass

b) Volume

c) Velocity

d) Flow Rate

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3. What is the mass flow rate of a liquid flowing through a pipe of which 100 grams of water was collected in 10 seconds?

a) 0.01 kg/s

b) 0.05 kg/s

c) 0.1 kg/s

d) 0.5 kg/s

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4. What is the volumetric flow rate if 100 kg of water is collected in 10 seconds? (Density of water = 1000 kg/m3)

a) 0.1 m^{3}/s

b) 0.2 m^{3}/s

c) 0.01 m^{3}/s

d) 0.02 m^{3}/s

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^{3}, => volumetric flow rate = 0.1/10 = 0.01 m

^{3}/s.

5. A liquid is flowing through a pipe of cross section 4 m^{2} at a rate of 4 kg/s, at a point pipe is divided into two pipes of areas of equal areas, what will be the ratio of flow rate in both the pipes?

a) 1:3

b) 1:1

c) 1:2

d) 2:3

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6. The velocity of water in a pipe of area 5 m^{2} is 10 m/s, what will be the flow rate of water?

a) 25 m^{3}/s

b) 50 m^{3}/s

c) 75 m^{3}/s

d) 100 m^{3}/s

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^{3}/s.

7. A liquid of density 0.1 kg/m^{3} is flowing through a pipe at a rate of 15 kg/s, what will be the area of the pipe if the fluid velocity is 5 m/s?

a) 30 m^{2}

b) 45 m^{2}

c) 75 m^{2}

d) 90 m^{2}

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^{3}/s, => Area of pipe = 150/5 = 30 m

^{2}.

8. 1 mole of Carbon dioxide enters in a reactor at a rate of 0.25 kg/s and leaves it at the rate of 1 kg/s, what are the number of moles of carbon dioxide leaves the reactor?

a) 0.25

b) 0.5

c) 0.75

d) 1

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9. A Composition of carbon dioxide, oxygen and nitrogen with mole ratio 1:2:5 with 4 moles of oxygen, enters a reactor with a flow rate of 100 kg/s, the ratio of rates of leaving the reactor of the three is 5:2:1, and 5 moles of nitrogen leaves the reactor, what is the total number of moles leaving the reactor?

a) 6.1

b) 6.2

c) 6.3

d) 6.4

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10. 10 moles of oxygen divides and enters two reactors flow rate 45 kg/s and leaves the reactors at the flow rates of 6 kg/s and 9 kg/s, what are number of moles of oxygen that leaves the reactor with 9 kg/s?

a) 180

b) 450

c) 60

d) 90

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_{1}and n

_{2}respectively, applying reaction equilibrium equation to whole system, => 10*45 = n*(6 + 9), => n = 30, => Applying reaction equilibrium equation to both the reactors separately, => n

_{1}*45 = n

_{2}*9 => n

_{2}= 5n

_{1}, and (10 – n

_{1})*45 = (30 – n

_{2})*6, Solving both equations we get n

_{2}= 90.

11. 10 Kg/s of a fluid with density 10 Kg/m^{3} is passed into a tank of capacity 50 m3, how much time will it take to fill the tank?

a) 5 Second

b) 50 Second

c) 500 Second

d) 5000 Second

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^{3}/s, => Time = 50/1 = 50 second.

12. 15 Kg/s of a fluid with density 5 Kg/m^{3} is passed into a tank of capacity 30 m^{3}, how much time will it take to fill the tank?

a) 3 Second

b) 10 Second

c) 30 Second

d) 100 Second

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^{3}/s, => Time = 30/3 = 10 second.

13. 20 Kg/s of a fluid with density 5 Kg/m^{3} is passed into a tank of capacity 60 m^{3}, how much time will it take to fill the tank?

a) 5 Second

b) 10 Second

c) 15 Second

d) 20 Second

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^{3}/s, => Time = 60/4 = 15 second.

14. 16 grams of oxygen is passed in the process in 5 minutes, what is the molar flow rate?

a) 0.1 mole/min

b) 1 mole/min

c) 10 mole/min

d) 16 mole/min

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15. 24 grams of CH4 is passed in the process in 3 minutes, what is the molar flow rate?

a) 0.1 mole/min

b) 0.3 mole/min

c) 0.5 mole/min

d) 0.7 mole/min

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## Set 3

1. Which of the following is used for the pressure measurement of only liquid?

a) Manometer

b) Piezometer

c) Differential Manometer

d) None of the mentioned

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2. Which of the following is used to measure pressure of only gas?

a) U-tube manometer

b) Piezometer

c) Differential Manometer

d) None of the mentioned

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3. What is the difference between manometer and differential manometer?

a) Differential manometer has gas in empty space

b) Manometer has gas in empty space

c) Differential manometer has liquid in empty space

d) Manometer has liquid in empty space

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4. Which of the following device is used to measure velocity of flow?

a) Manometer

b) Venturi meter

c) Pitot tube

d) None of the mentioned

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5. A U-tube manometer is open at one end and has a gas at the other end, if the level of the mercury in both legs of manometer is equal then what is the temperature of the gas?

a) 1 Pa

b) 1 Torr

c) 1 mm Hg

d) 1 atm

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6. A U-tube manometer is closed at both ends one end is vacuum and other end has a gas, if the difference in level of mercury is h = 10 mm, what is the pressure of gas?

a) 1.33 Pa

b) 1.45 Pa

c) 1.56 Pa

d) 1.75 Pa

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7. A closed U-tube manometer has a gas on one end with pressure 10 Pa and other end has vacuum, what is the approximate density of the liquid if the height difference of the liquid is 10 cm?

a) 1 Kg/m^{3}

b) 10 Kg/m^{3}

c) 100 Kg/m^{3}

d) 1000 Kg/m^{3}

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^{3}.

8. A closed U-tube manometer has a gas on one end with pressure 5 Pa and other end has vacuum, what is the approximate height difference of the liquid if the density of liquid is 10 Kg/m^{3}?

a) 5 mm

b) 10 mm

c) 50 mm

d) 100 mm

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9. A closed manometer is filled with 3 fluids first on the left leg with density 8 kg/m^{3} and length 10 cm, middle one with density 10 kg/m^{3} and height difference 5 cm more on right leg and the third on the right leg with density 15 kg/m^{3}, what is the length of the third liquid?

a) 1 cm

b) 2 cm

c) 3 cm

d) 4 cm

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10. A barometer has liquid level 10 cm above the outside level and the gas captured inside has the pressure of 0.5 atm, what is the density of liquid?

a) 0.5 atm-s^{2}/m^{2}

b) 1 atm-s^{2}/m^{2}

c) 1.5 atm-s^{2}/m^{2}

d) 2 atm-s^{2}/m^{2}

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^{2}/m

^{2}.

11. A barometer has liquid of density 1 kg/m^{3} of level 5 cm below the outside level, what is the pressure of the gas captured inside?

a) 0.5 atm + 1 Pa

b) 1 atm + 0.5 Pa

c) 1.5 atm + 1 Pa

d) 2 atm + 0.5 Pa

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12. A barometer has liquid with density 1 Kg/m^{3}, and the gas has pressure 0.5 atm, what is the height of liquid level?

a) 0.01 atm-m^{2}-s^{2}/kg

b) 0.05 atm-m^{2}-s^{2}/kg

c) 0.1 atm-m^{2}-s^{2}/kg

d) 0.5 atm-m^{2}-s^{2}/kg

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^{2}-s

^{2}/kg.

13. A barometer the liquid-1 with density 2 Kg/m^{3} and height 5 cm below the outside level and above that liquid-2 with density 0.5 Kg/m^{3} and length 10 cm, what is the gauge pressure of the gas?

a) 0.01 Pa

b) 0.05 Pa

c) 0.1 Pa

d) 0.5 Pa

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14. A barometer has liquid-1 with density 5 Kg/m^{3} and height 10 cm below the outside level above that there is liquid-2 of length 5 cm, if the gauge pressure of the gas is 1 Pa, what is the density of liquid-2?

a) 2 Kg/m^{3}

b) 4 Kg/m^{3}

c) 6 Kg/m^{3}

d) 8 Kg/m^{3}

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^{3}.

15. A barometer has liquid-1 with density 1 Kg/m^{3} and height 10 cm below the outside level above that a liquid-2, if the gauge pressure of gas is 0.5 Pa, what is the pressure liquid-2?

a) 0.5 Pa

b) 1 Pa

c) 1.5 Pa

d) 2 Pa

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## Set 4

1. What is the degree of freedom of a system with 2 phases and 1 component?

a) 1

b) 2

c) 3

d) 4

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2. What is the number of phases in a system with 2 degrees of freedom and 2 components?

a) 1

b) 2

c) 3

d) 4

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3. What is the number of components in a system with 3 degrees of freedom and 2 phases?

a) 1

b) 2

c) 3

d) 4

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4. What is the degree of freedom of a system with 3 phases and 5 components?

a) 1

b) 2

c) 3

d) 4

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5. What is the degrees of freedom of a system with 5 phases and 5 components?

a) 1

b) 2

c) 3

d) 4

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6. What is the degrees of freedom of a system with pure water?

a) 2

b) 4

c) 5

d) 7

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7. What is the degrees of freedom of a system with mixture of water and ice?

a) 1

b) 2

c) 3

d) 4

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8. What is the degrees of freedom of a system with mixture of water, liquid benzene and oxygen?

a) 1

b) 2

c) 3

d) 4

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9. What is the degrees of freedom of a system with mixture of ice, water and neon?

a) 1

b) 2

c) 3

d) 4

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10. What is the degrees of freedom of a system with mixture of copper pyrites, liquid benzene and helium?

a) 1

b) 2

c) 3

d) 4

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11. What is the degree of freedom of a gas mixture composed of CO_{2}, SO_{2}, SO_{3}, CH_{4}, H_{2}CO_{3}?

a) 2

b) 3

c) 5

d) 7

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12. What is the degree of freedom of a gas mixture composed of O_{2}, H_{2}O and H_{2}O_{2}?

a) 1

b) 2

c) 3

d) 4

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13. What is the degree of freedom of a mixture composed Liquid H_{2}O, solid Br_{2} and gaseous CO_{2}, NO_{2}?

a) 1

b) 2

c) 3

d) 4

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14. What is the degree of freedom of a mixture composed of liquid O_{2}, gaseous H_{2} and ice?

a) 1

b) 2

c) 3

d) 4

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15. What is the degree of freedom of a gaseous mixture composed of CH_{4}, CO_{2}, H_{2}CO_{3}, H_{2}O and H_{2}O_{2}?

a) 1

b) 2

c) 3

d) 4

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## Set 5

1. Water having C_{P} = 10 J/^{o}C, is heated from 10^{o}C to 50^{o}C, what is the enthalpy change?

a) 100 J

b) 250 J

c) 400 J

d) 500 J

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_{10}∫

^{50}10.dT = 10*40 = 400 J.

2. Liquid benzene having C_{P} = 29 J/^{o}C, is heated from 5^{o}C to 10^{o}C, what is the enthalpy change?

a) 29 J

b) 145 J

c) 195 J

d) 290 J

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_{5}∫

^{10}29.dT = 29*5 = 145 J.

3. Ice having C_{P} = 15 J/^{o}C, is heated from -10^{o}C to -4^{o}C, what is the enthalpy change?

a) 30 J

b) 60 J

c) 90 J

d) 120 J

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_{-10}∫

^{-4}15.dT = 15*6 = 90 J.

4. Steam having C_{P} = 105 J/^{o}C, is heated from 100^{o}C to 104^{o}C, what is the enthalpy change?

a) 210 J

b) 420 J

c) 630 J

d) 840 J

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_{100}∫

^{104}105.dT = 105*4 = 420 J.

5. Cyclohexane having C_{P} = 48 J/^{o}C, is heated from 50^{o}C to 55^{o}C, what is the enthalpy change?

a) 240 J

b) 480 J

c) 720 J

d) 960 J

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_{50}∫

^{55}48.dT = 48*5 = 240 J.

6. What is the value of C_{P} – C_{V} for ideal gases?

a) 0

b) R/2

c) R

d) 2R

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_{P}= C

_{V}+ R.

7. A mixture contains 20% O2 with C_{P} = 15 J/^{o}C and 80% CO2 with C_{P} = 20 J/^{o}C, what is the average C_{P} of mixture?

a) 3 J/^{o}C

b) 9 J/^{o}C

c) 16 J/^{o}C

d) 19 J/^{o}C

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_{P}= 0.2*15 + 0.8*20 = 19 J/

^{o}C.

8. A mixture contains 30% Ar with C_{P} = 30 J/^{o}C, 30% N_{2} with C_{P} = 20 J/^{o}C and 40% CH_{4} with C_{P} = 10 J/^{o}C, what is the average C_{P} of mixture?

a) 7 J/^{o}C

b) 12 J/^{o}C

c) 19 J/^{o}C

d) 26 J/^{o}C

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_{P}= 0.3*30 + 0.3*20 + 0.4*10 = 19 J/

^{o}C.

9. A mixture contains 20% O_{2} with C_{P} = 10 J/^{o}C, 30% N_{2} with C_{P} = 20 J/^{o}C and 50% CO_{2} with C_{P}= 40 J/^{o}C, what is the average C_{P} of mixture?

a) 20 J/^{o}C

b) 28 J/^{o}C

c) 34 J/^{o}C

d) 42 J/^{o}C

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_{P}= 0.2*10 + 0.3*20 + 0.5*40 = 2 + 6 + 20 = 28 J/

^{o}C.

10. A mixture contains 20% SO_{2} with C_{P}= 35 J/^{o}C, 30% NO_{3} with C_{P} = 20 J/^{o}C and 50% CO_{2} with C_{P} = 40 J/^{o}C, what is the average C_{P} of mixture?

a) 12 J/^{o}C

b) 17 J/^{o}C

c) 25 J/^{o}C

d) 33 J/^{o}C

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_{P}= 0.2*35 + 0.3*20 + 0.5*40 = 7 + 6 + 20 = 33 J/

^{o}C.

11. Heat Capacity of CO_{2} is given by 12 + 3T + T^{2}, what is the enthalpy change from 0^{o}C to 6^{o}C?

a) 169 J

b) 198 J

c) 244 J

d) 360 J

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_{0}∫

^{6}(12 + 3T + T

^{2}).dT = 12*6 + 3*36/2 + 63/3 = 198 J.

12. Heat Capacity of water is given by 4 + T^{2}, what is the enthalpy change from 0^{o}C to 3^{o}C?

a) 7 J

b) 14 J

c) 21 J

d) 32 J

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_{0}∫

^{3}(4 + T

^{2}).dT = 4*3 + 33/3 = 21 J.

13. C_{P}-T curve covers 10 J from 2^{o}C to 10^{o}C, what is the enthalpy change?

a) 10 J

b) 20 J

c) 80 J

d) 100 J

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_{P}-T curve.

14 C_{P}-T curve of CO_{2} forms a rectangle of height 10 J/^{o}C from 5^{o}C to 10^{o}C?

a) 10 J

b) 50 J

c) 100 J

d) 250 J

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_{P}-T curve = Area of rectangle = 10*(10 – 5) = 50 J.

15. C_{P}-T curve of H_{2} forms a rectangle of height 20 J/^{o}C from 4^{o}C to 5^{o}C?

a) 20 J

b) 80 J

c) 100 J

d) 140 J

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_{P}-T curve = Area of rectangle = 20*(5 – 4) = 20 J.