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Using residue theorem evaluate ∲c e^z-1/z(z-1)(z-i)² dz where C is |z|=2

Find the most general analytic finction f(z)=u+iv where the real part u(x,y)=x^2-y^2-x

Solve the Partiol differential equation (D²-D^1²)z= x² + y²

A coal contains 78% carbon, 4% hydrogen, 2% oxygen, 1.8%


sulphur and rest as non-combustibles.


Calculate:


(i) Gross calorific value of the coal in GJ/ton using Dulong’s Formula


337 C + 1442 [H – (O/8)] + 93 S kJ/kg


where C, H, O and S are percentages of carbon, Hydrogen, oxygen and


sulphur respectively.


(ii) Amount of coal needed per day to burn in a 10 MW power plant


working with 32% thermal efficiency (Given 1 kWh = 3.6 MJ).

If 45 m3 of combustion products at 1000 K of the following


composition: 6.2 % O2, 1.0% H2O, 12.3 % CO2, and the balance N2 are cooled at atmospheric pressure from 1000 K to 250 K, what is


the enthalpy change in the J?

Calculate the enthalpy change that occurs when 5 lb of CO2 change


state from 8 psia and a mixture containing 20 % liquid plus solid to


200 oF by a constant volume process.

A 15 MW steam-driven turbine operates in the steady-state using 30




kg/s of steam. The inlet condition for the steam is p = 3000 kPa and




450 oC. The outlet condition is 500 kPa, saturated vapor. The




entering velocity of the steam is 250 m/s and the exiting velocity is




40 m/s. What is the transfer in kW for the turbine as the system?




What fraction is the heat transfer of the power generated?

Consider the autocatalytic reaction A --+ R, with -rA = 0.001 CACR moll

1iter.s. We wish to process 1.5 litersls of a CAo = 10 mollliter feed to the

highest conversion possible in the reactor system consisting of four 100-

liter mixed flow reactors connected as you wish and any feed arrangement.

Sketch your recommended design and feed arrangement and determine

CAf from this system


200 kg/min of feed are fed to a continuous distillation column. The stream contains 70 kg /min NaOH and the difference is water. The distillate flows out of the column at 90 kg /min and contains 4 kg /min NaOH. Determine the bottom stream mass flowrate and the composition of all streams. Draw and label the flowchart.

Use Raoult's Law and calculate the vapour and liquid compositions in equilibrium (in mole fractions, y and x) for the A-B components system using vapour pressure data measured at a pressure of 101.32 kPa as shown in Table 1 below. Draw the Temperature composition diagrams the Equilibrium distribution (x-y) plot as well.


Table 1: vapour pressure data measure


Temperature

60

78

86

92

96

101


Vapour pressure

Component A

101.325

132

156

178

195

235

Component B

0

58

68

78

88

101.325


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