Rushton turbine, impeller diameter = 20 cm. Speed = 200 rpm. Flow rate = 0.2 m\(^3\)/min. Find the Froude number $N_{Fr}$ (round to 2 decimals).
Find the sum of eigenvalues of the matrix: \( \begin{bmatrix} 4 & 1 \\ 3 & 6 \end{bmatrix} \)
A 30 μm thick membrane having 3 m$^2$ surface area is used to separate NaCl at steady state. Mass transfer coefficient on solution side = $1\times 10^{-6}$ m·s$^{-1}$, on membrane side = $3\times 10^{-7}$ m·s$^{-1}$. NaCl concentration = 0.03 g·(100 mL)$^{-1}$; concentration on permeate side = 0. Permeability = $9\times 10^{-6}$ m·s$^{-1}$. Find the rate of NaCl removal (g·h$^{-1}$).
Match the correct items in Column 1 with Column 2: \[\begin{array}{|c|c|} \hline \textbf{Column 1} & \textbf{Column 2} \\ \hline \text{P: Pipe-in-pipe heat exchanger} & \text{1: Cooling of air} \\ \hline \text{Q: Shell and tube heat exchanger} & \text{2: Simultaneous co-current and counter-current heat exchange} \\ \hline \text{R: 1-2 shell and tube heat exchanger} & \text{3: Large flow rate} \\ \hline \text{S: Cross flow heat exchanger} & \text{4: Small heat exchange area} \\ \hline \end{array}\]
Match the following hulling mechanisms (Column 1) with the corresponding machines (Column 2). \[ \begin{array}{|c|c|} \hline \textbf{Column 1} & \textbf{Column 2} \\ \hline \text{P: Shear and compression} & \text{1: Blade type emery scourer} \\ \text{Q: Friction and abrasion} & \text{2: Horizontal Gota machine} \\ \text{R: Shear, compression and friction} & \text{3: Rubber roll dehusker} \\ \text{S: Impact, abrasion and friction} & \text{4: Under runner disc sheller} \\ \hline \end{array} \]
A bushy crop stem of diameter 6 mm is cut by bending. Modulus of elasticity = 1500 N·mm$^{-2}$, ultimate tensile strength = 35 N·mm$^{-2}$. Determine force causing failure at 50 mm height. (Take $\pi = 3.14$)
In a field test of a drip irrigation system: Min = 45 L/h, Max = 65 L/h, Avg = 50 L/h. Application efficiency = 90%. Emitter coefficient of variation = 0.07. One emitter per plant.
Find the drip irrigation efficiency (round off to 2 decimals).
Trace the matrix \[ \begin{bmatrix} 3 & 2 & 1 & 4 \\ 5 & 7 & 8 & 1 \\ 2 & 4 & 6 & 7 \\ 9 & 6 & 4 & 2 \end{bmatrix} \] (answer in integer).