This set of Introduction to 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

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

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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

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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.

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

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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

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Explanation: (p + a/V2)(V – b) = RT, => p = 0.0821*300/(1 – 0.0907) – 9.24/12 = 17.8 atm.

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

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

Explanation: PV = RT(1 + B/V + C/V2), => T = 10*1/[0.0821*(1 – 0.053/1 + 0.0026/12)] = 128.2 K.

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

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 SRK equation?

a) Liter/mole

b) Mole/Liter

c) Atm(liter/mole)

d) It is dimensionless

View answer

Explanation: In SRK equation, λ is dimensionless function of reduced temperature.

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

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 – Introduction to Chemical Engineering.**

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