In the process of producing caustic (NaOH), 4000 kg/h of a solution containing 10 wt% NaOH is evaporated in the first evaporator, giving a 20% NaOH solution. This is then fed into a second evaporator which gives a product of 50% NaOH. The amount of water removed from each evaporator is
- The initial mass of NaOH = \( 0.10 \times 4000 = 400 \) kg
- After the first evaporator, the mass of NaOH = \( 0.20 \times 4000 = 800 \) kg
- The water removed in the first evaporator = 4000 - 800 = 3200 kg
- In the second evaporator, the NaOH content becomes 50%, so the mass of NaOH in the final product is 400 kg.
- The water removed in the second evaporator = \( 4000 - 400 = 3600 \) kg
- The total water removed = 2000 kg in the first evaporator and 1200 kg in the second(D)
Conclusion:
The amount of water removed from each evaporator is 2000 kg and 1200 kg, as given by option (A).
A closed-loop system has the characteristic equation given by: $ s^3 + k s^2 + (k+2) s + 3 = 0 $.
For the system to be stable, the value of $ k $ is:
A digital filter with impulse response $ h[n] = 2^n u[n] $ will have a transfer function with a region of convergence.