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L^{-1} e^{-s}/√s }=-----------


L {t^{2}*H'(t-3)}.

A) e^-3s /s

B)e^-3s /s^2.

C)2e^-3s /s^2.

D)3e^-3s /s^2.


If F(s)=s^{2}+2/s(2s^{2}-7s+5); then lim t→∞f(t) `.

A)0.

B)2/5. C) 1/2. D)does not exist


If f(t)=cos 2t H(t-π), then L{∫0^{t}f(τ)dτ}.
A)-e^-πs/s^2+4. B)-e^-πs/s(s^2+4). C)e^-πs/s^2+4.
D)e^-πs/s(s^2+4).

A stone is dropped from a height of 25 meters. a) How long will it take for the stone to hit the ground? b) What velocity does it have when it hits the ground?

 



a golden breast plate weighing 18.63 kg in dropped in a that initially contains water. after the breast plate was totally submerged, the water level rises by 61 87cm. the tub has a diameter of 6 centimeters and the breast plate was said to be mare only from gold and silver. compute for the percentage of each component of the breast plate if the density of gold is 19,3 g/cubic centimeter and silver has a density of 10.49 g/cubic centimeter.


At 400 tons per annum capacity, 99 % w/w urea is to be produced from ammonia and CO2 using a simplified three step processinvolvingsynthesis,decompositionandconcentration, (i).Sketchtheblockdiagramforthisprocess. (ii). Given that 80 % conversion of CO2 is achieved with 50 % excess ammonia during urea synthesis, evaluate the actual quantitiesofthefeeds? 


For the calculation of caloric temperature please refer [3] (page 827). 


Classify the following flows as laminar or turbulent a) Water at 200C flowing in a 0.30m diameter pipe at 1.1m/s. b) Oil of specific gravity 1.1, viscosity 0.05kg/m.s at 200C flowing in a 0.15m diameter pipe at 0.5m/s

Domestic LPG cylinder has the following dimensions: height = 580 mm, diameter = 318 mm. Assume there is only butane in the cylinder. Given that the initial pressure inside the cylinder is 2.5 bar and the ambient temperature is 298.15 K. According to the print on the cylinder, a full cylinder has 15 kg gas. Some part of butane is in liquid state and some part is in gas state. Use Redlich Kwong equation of state for all process calculations. (a) Develop the expression for total moles of the gas in terms of volume of cylinder, molar volume of liquid butane, molar volume of gaseous butane, fraction of cylinder volume filled with liquid butane. [2] (b) Convert the above relationship in terms of liquid compressibility factor Zl and gas compressibility factor Zv [2] (c) Use the above relationship to develop the equation for finding the fraction of cylinder volume filled with liquid butane. [2] (d) Estimate Zl [10] (e) Estimate Zv [10] (f) Estimate fraction of cylinder volume filled with liquid butane. [5]


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