Question 21. Which of the following statements are TRUE? P. The eigenvalues of a symmetric matrix are real Q. The value of the determinant of an orthogonal matrix can only be +1 R. The transpose of a square matrix A has the same eigenvalues as those of A S. The inverse of an 'n × n' matrix exists if and only if the rank is less than 'n'

Question 22. Liquid reactant A decomposes as follows A --> R rR = k1C2A k1 = 0.5 m3/mol-s A --> S rS = k2CA k2 = 1 s-1 An aqueous feed of composition CA0 = 30 mol/m3, CR0 = 2 mol/m3 and CS0 = 1 mol/m3 enters a CSTR in which the above reactions occur. Assume isothermal and steady state conditions. What is the % conversion of A, to the nearest integer, so that the concentration of S in the exit stream is 11.8 mol/m3? _________

Question 23. The vapor liquid equilibrium relation for an ideal binary system is given by y*A = (αABxA)/[1 + (αAB - 1)xA] Here xA and y*A are the mole fractions of species A in the liquid and vapor, respectively. The relative
volatility (αAB) is greater than unity.
The liquid mole fraction xA at which the maximum difference between the equilibrium vapor mole fraction and liquid mole fraction occurs is

Question 24. Consider the following transfer function
Gp(s) = 5/(2s + 1)4 (Note: The unit of the process time constant is in seconds.) 
For the computation of Ziegler-Nichols settings, the ultimate period (in s/cycle) and the ultimate gain are

Question 25. The vapor liquid equilibrium relation for an ideal binary system is given by y*A = (αABxA)/[1 + (αAB - 1)xA] Here xA and y*A are the mole fractions of species A in the liquid and vapor, respectively. The relative
volatility (αAB) is greater than unity.
A liquid having the composition found in the first part of the linked answer question, is flash distilled at a steady state to a final liquid mole fraction of 0.25. If αAB is 2.5, the fraction of the feed vaporized is

Question 26. Consider the following transfer function
Gp(s) = 5/(2s + 1)4 (Note: The unit of the process time constant is in seconds.) The crossover frequency (in rad/s) of the process is

Question 27. If 3 ≤ X ≤ 5 and 8 ≤ Y ≤ 11 then which of the following options is TRUE?

Question 28. The Headmaster ___________ to speak to you. Which of the following options is incorrect to complete the above sentence?

Question 29. Mahatama Gandhi was known for his humility as

Question 30. Select the pair that best expresses a relationship similar to that expressed in the pair: water: pipe::