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Evaluate ∬R(x-y)^{2}sin^{2}(x+y)d xdy, where R is the rhombus withsuccessive vertices at (π,0),(2π,π),(π,2t) and (0,π)
Show that the vector →{v}=(yz-1)i-z(1+x+z)j+y(1+x+2z)k is conservative and find it scalar potential function.
Evaluate the line integral of →{v}=xyi+y^{2}zj+e^{2z}k over the curve C whose parametric representation is given by x=t^{2},y=2t,z=t,0<t<1.
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 ?
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.
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
#339914 on Dec 2023