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

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

Explanation: Virial equation is PV = RT (1 + 1/V + 1/V

^{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}

View answer

Explanation: Vander waal equation, V

^{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

View answer

Explanation: (p + a/V

^{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

View answer

Explanation: (p + a/V

^{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

View answer

Explanation: pV = RT(1 + B/V + C/V

^{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

View answer

Explanation: PV = RT(1 + B/V + C/V

^{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}

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)K^{0.5}

d) Atm(liter/mole)K

View answer

Explanation: RK equation is p = RT/(V – b) – a/[T

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

^{0.5}.

**Sanfoundry Global Education & Learning Series – Basic Chemical Engineering.**

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