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A mixture of benzene and toluene containing 40 mole % benzene is to be separated continuously in a tray tower at a rate of 200 kmol/h. the top product should have 95 mole% of benzene and the bottom must contain more than 4 mole% of it. the reflux is a saturated liquid and a reflux ratio of 2.0 is maintained. the feed is a saturated liquid (i.e. it is at its bubble point)

a.obtain and plot the operating lines for the rectifying and the stripping sections on the x-y plane.


b.What is the boil-up ratio?


The vapour-liquid equilibrium data at the operating pressure of 101.3 kPa are given below.

X 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0

Y. 0 0.21 0.38 0.511 0.627 0.719 0.79 0.853 0.91 0.961 1.0


A mixture of 40 mol% benzene and 60 mol% toluene

is being flash-distilled at a rate of 10 kmol/h at 1 atm

total pressure. The liquid product should not contain

more than 35 mol% benzene. Calculate the amounts

and the compositions of the top and the bottom products.The relative volatility of benzene in the mixture is 3.Solve analytically.



One kg of air is subjected to a thermodynamic cycle having the limiting temperatures of 900K and 300K. What is the theoretical maximum efficiency that can be obtained from the cycle.

x ^ 3 - 3x * y ^ 2 + 3x ^ 2 - 3y ^ 2


1. A piston – cylinder containing steam at 700 kPa and 250 deg C undergoes a constant pressure process until the quality is 70%. Determine per kilogram (a) change of internal energy and (b) change of enthalpy.


a series resonance network consisting of a resistor of 300 ohms ,a capacitor of 120 micro f and an inductor of 20 mh is connected across a sinusoidal supply voltage which has a constant output of 9v at all frequency.calculate,the resonant frequency,the current at resonance, the voltage across the inductor and capacitor at resonance, the quality factor and the bandwidth of the circuit.also sketch the corresponding current waveform for all frequencies





Consider the variability of the vowel characteristics among speakers. If humans can create a phoneme from similar vocal tract shapes, but with different speaker identifiability, then the source and prosody must play a large role in speaker characteristics, as well as the vocal tract. A ventriloquist, for example, can keep his/her vocal tract in roughly the same shape (i.e. for a particular phoneme), yet mimic different voices. Offer an explanation in terms of source and prosodic characteristics. 


a = 12t²t³ + t, Determine velocity equation and position equation

x = 12t²t³ + t, Determine velocity equation and acceleration equation.

The magnitude of the linear acceleration of a point moving along a vertical path is given by the equation a = 6t - 24, where a is in m/s and t is in seconds. The acceleration is upward when t = 5s; The point is 4m below the origin when t = 0 and 23 m above the origin when t = 3 s.Determine:


B.1. The velocity when t = 3 sec


B.2. The displacement during the time interval from t = 0 tot = 4 s


B.3. The total distance travelled during the time interval from t = 0 tot = 4s

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