Chemical Engineering Questions and Answers – Equations of State

This set of Basic Chemical Engineering Multiple Choice Questions & Answers (MCQs) focuses on “Equations of State”.

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
View answer

Answer: b
Explanation: Charles equation is simply P α 1/V which is not the equation of state.

2. Virial Equation is a ______
a) Arithmetic Progression
b) Geometric Progression
c) Harmonic Progression
d) None of the mentioned
View answer

Answer: b
Explanation: Virial equation is PV = RT (1 + 1/V + 1/V2 + 1/V3 + – – – – -), 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 = pb2
b) 243a = pb2
c) 81a = pb2
d) 9a = pb2
View answer

Answer: a
Explanation: Vander waal equation, V3 – (nb + nRT/p)V2 + (n2a/p)V – n3ab/p = 0, comparing with (V – Vc)3 = 0, => 3n(a/p)1/2 = n(ab/p)1/3, => 729a = pb2.
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4. A container has O2 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 O2? (Use vander waal equation)
a) 140 K
b) 150 K
c) 170 K
d) 190 K
View answer

Answer: c
Explanation: (p + a/V2)(V – b) = RT, => T = (5 + 9.24/22)(2 – 0.0907)/0.0821 = 170 K.

5. A container has H2 at 27oC and molar volume 1 liter/mole, if a = 9.24 atm(liter/mole), b = 0.0907 liter/mole, what is the temperature of H2? (Use vander waal equation)
a) 7.5 atm
b) 12.4 atm
c) 15.6 atm
d) 17.8 atm
View answer

Answer: d
Explanation: (p + a/V2)(V – b) = RT, => p = 0.0821*300/(1 – 0.0907) – 9.24/12 = 17.8 atm.
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6. What is the pressure of CO2 at 0oC, molar volume = 4 liter/mole, if B = – 0.053 liter/mole, C = 0.0026 liter2/mole2? (Use virial equation, neglect higher terms)
a) 2.4 atm
b) 4.1 atm
c) 5.5 atm
d) 6.9 atm
View answer

Answer: c
Explanation: pV = RT(1 + B/V + C/V2), => 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 liter2/mole2, 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
View answer

Answer: a
Explanation: PV = RT(1 + B/V + C/V2), => T = 10*1/[0.0821*(1 – 0.053/1 + 0.0026/12)] = 128.2 K.
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8. What is the unit of ‘b’ in Peng Robinson equation?
a) Liter/mole
b) Liter2/mole2
c) Mole/Liter
d) Mole2/Liter2
View answer

Answer: a
Explanation: Peng Robinson equation is p = RT/(V – b) – aα/[V(V + b) + b(V – b)], => unit of b = unit of molar volume = liter/mole.

9. What is the unit of λ in the SRK equation?
a) Liter/mole
b) Mole/Liter
c) Atm(liter/mole)
d) It is dimensionless
View answer

Answer: d
Explanation: In the SRK equation, λ is a dimensionless function of reduced temperature.
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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)K0.5
d) Atm(liter/mole)K
View answer

Answer: c
Explanation: RK equation is p = RT/(V – b) – a/[T0.5V(V + b)], => unit of a = atm(liter/mole)K0.5.

Sanfoundry Global Education & Learning Series – Basic Chemical Engineering.

To practice all areas of Basic Chemical Engineering, here is complete set of 1000+ Multiple Choice Questions and Answers.

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Manish Bhojasia - Founder & CTO at Sanfoundry
Manish Bhojasia, a technology veteran with 20+ years @ Cisco & Wipro, is Founder and CTO at Sanfoundry. He lives in Bangalore, and focuses on development of Linux Kernel, SAN Technologies, Advanced C, Data Structures & Alogrithms. Stay connected with him at LinkedIn.

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