This set of Chemical Process Calculation Multiple Choice Questions & Answers (MCQs) focuses on “Dimensional Consistency”.
1. What is the unit of constant “a” in the equation V = aT + bTP + cTPn, where V is volume, T is temperature, P is pressure, and n is the number of moles?
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 constant “b” in the equation V = aT + bTP + cTPn, where V is volume, T is temperature, and P is pressure?
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 constant “c” in the equation V = aT + bTP + cTPn, where V is volume, T is temperature, P is pressure, and n is the number of moles?
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. What is the unit of constant “A” in the equation P = Aexp(B/T), where P is the pressure and T is the temperature?
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 constant “B” in the equation P = Aexp(B/T), where P is the pressure and T is the temperature?
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.