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State Green s theorem and verify for ∮c(x²+y²)dx+(3y+2x)dy ,where C is triangle with vertices at (0,0),(1,0),(1,1)


Solve ∫y=0^{1}∫x=y^{2}^{1}∫z=0^{1-x}x dzdxdy


 In the above problem, if the saturation temperatures of water at 2 bar and 20 bar are 120⁰C and 

212⁰C respectively and the ambient temperature is 20⁰C, find the turnaround efficiency if storage 

time is 15 hrs ?


One thousand kilograms per hour of a mixture of benzene (B) and Toluene (T) containing 60%
benzene by mass is separated by distillation into two fractions. The mass flowrate of the
benzene (B) in the top stream is 500 kg (B) /h and that of toluene in the bottom stream is 485 kg
(T) / h. The unit operates at steady state.
3.1.1. Draw a schematic diagram showing all the relevant streams in the distillation unit. (8)
3.1.2. Write the basis for calculation.
Write basis for calculation
A Test tube, 1.5 Cm in diameter and 12cm long, has 0.4g camphor on it. How long will it take for the camphor (C,H,O) does disappear? The pressure is atmospheric and the temperature is 200C. The sublimation pressure of camphor at this temperature is 97.5 mmHg and the diffusivity of camphor can be estimated by using the fuller' equation. Diffusion volumes: C-16.4, H=1.98, O-5.48, Air 20.1?

Two glass tubes diameter 2 and 4 mm respectively, are attached to the side of a water tank to measure the level inside the tank, (surface tension = 0.074N/m)

Use this information to express the c apillary rise in the tube in the form h= mr + c where m and c are constants and r is the tube radius and hence determine the ideal tube diameter


2.1. Classify the following process as batch, continuous, semi – batch and identify if the process is an unsteady or steady state; 2.1.1. A balloon is filled with air at a steady rate of 4 g/ min. (2) 2.1.2. A bottle of milk is taken from the refrigerator and left on the kitchen table. (2) 2.1.3. Water is boiled in an open flask. (2) 2.1.4. Water is boiled in a closed flask. (2) 2.1.5. Filling an empty swimming pool with water. (2)


Suppose each year 60 000 people move into Gauteng province, 85000 people move out, 32000 are born and 18000 die. Write a balance equation on the population in Gauteng province accumulated per year. (Let P denote people)


One thousand kilograms per hour of a mixture of benzene (B) and Toluene (T) containing 60% benzene by mass is separated by distillation into two fractions. The mass flowrate of the benzene (B) in the top stream is 500 kg (B) /h and that of toluene in the bottom stream is 485 kg (T) / h. The unit operates at steady state. 3.1.1. Draw a schematic diagram showing all the relevant streams in the distillation unit. (8) 3.1.2. Write the basis for calculation. 


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