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