This set of Chemical Process Calculation Multiple Choice Questions & Answers (MCQs) focuses on “Dimensional Consistency”.

1-3. Volume representation of a real gas is given by the equation

V = aT + bTP + cTPn Litre

Where: a,b,c are constants and T, P, n are temperature, pressure and number of moles respectively.

If the equation is dimensionally consistent then

1. What is the unit of a?

a) L/K

b) L/(K)(atm)

c) L/(K)(atm)(mole)

d) None of the mentioned

View Answer

Explanation: Unit of a = unit of V / unit of T.

2. What is the unit of b?

a) L/K

b) L/(K)(atm)

c) L/(K)(atm)(mole)

d) None of the mentioned

View Answer

Explanation: Unit of b = unit of V / (unit of T)(Unit of P).

3. What is the unit of c?

a) L/K

b) L/(K)(atm)

c) L/(K)(atm)(mole)

d) None of the mentioned

View Answer

Explanation: Unit of c = unit of V / (unit of T)(Unit of P)(unit of n).

4. A relation of distance with time is given as d = 25(1-exp(-0.021t)) µm where d is in microns and t in seconds. What is the relation if d is in inches and t in minutes?

a) 25(1-exp(-0.021t)) in

b) 1.64(1-exp(0.26t)) in

c) 3.84(1-exp(0.26t)) in

d) 9.84(1-exp(1.26t)) in

View Answer

Explanation: Each term in an equation must have same dimensions and units as every other term to which it is added or subtracted or equated.

5. Given relation are-

A. T = 4π[l/g]^{0.5}

Where: l- length, g- gravity, T- time period of a pendulum

B. ∆P = v2*(L/D)

Where: ∆P- Pressure drop, L- length of pipe and D- Diameter of the pipe

Having dimensional consistency

a) 1

b) 2

c) Both 1 and 2

d) Neither 1 nor 2

View Answer

Explanation: Units of left hand-side of the equation match the units of the right-hand side, the equation is dimensionally consistent.

6. For dimensional consistency each term in an equation must have the same net dimension and unit as every other term to which it is added or subtracted or equated.

The above given statement is

a) False

b) True

c) Not mandatory

d) None of the mentioned

View Answer

Explanation: For dimensional consistency each term in an equation must have the same net dimension and unit as every other term to which it is added or subtracted or equated.

7. A collection of variables or parameters that has no net dimensions or units are called

a) Dimensionless group

b) Dimensional group

c) Derived dimension group

d) None of the mentioned

View Answer

Explanation: A collection of variables or parameters that has no net dimensions or units are called dimensionless group.

8. Find out the dimensionless quantity

a) Pressure

b) Reynolds number

c) Viscosity

d) Density

View Answer

Explanation: Reynolds number has no dimension or units.

9-10. Pressure relation of a real gas is given by the equation P = Aexp(B/T) atm. Where A and B are constants and T is the temperature of the gas.

9. What is the unit of A?

a) atm

b) K

c) 1/atm

d) 1/K

View Answer

Explanation: The unit of A is same as the unit of pressure.

10. What is the unit of B?

a) atm

b) K

c) 1/atm

d) 1/K

View Answer

Explanation: The unit of B is same as the unit of temperature.

**Sanfoundry Global Education & Learning Series – Chemical Process Calculation.**

To practice all areas of Chemical Process Calculation, __here is complete set of 1000+ Multiple Choice Questions and Answers__.

**If you find a mistake in question / option / answer, kindly take a screenshot and email to [email protected]**

**Related Posts:**

- Check Chemical Engineering Books
- Apply for Chemical Engineering Internship
- Practice Chemical Engineering MCQs
- Check Chemical Process Calculations Books