FUND OF ENG THERMODYN(LLF)+WILEYPLUS
9th Edition
ISBN: 9781119391777
Author: MORAN
Publisher: WILEY
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A balloon filled with helium (of density ρHe = 0.164 kg/m3 ) has a cube shape and rises through the stratosphere. Air density is given by ρ(z) = ρa exp(− gz/ RT), where ρa = 1.225 kg/m3 is the density of air at the sea level, g = 9.81 m/s^2 is the gravitational acceleration, R = 287.06 J/kg/K is the specific gas constant of air, and T is the air temperature, which is constant in the stratosphere and equal to 217 K (Note that this expression for the atmospheric density is strictly correct only in the isothermal region of the stratosphere. However, please use it for solution to this problem). This balloon is designed so that ρHe and its side length h = 30 cm remain constant for all z. The lower surface is located at z and the upper surface at z + h. Derive an expression for the buoyancy force on the balloon and compute the maximum altitude to which the balloon rises in a unit of m.
A centrifuge bowl is to separate two immiscible liquids, one with SG 1.1
and the other with SG 0.9. The inside diameter of the bowl is 20cm, and it
is rotating at 11000 rpm. The liquid-liquid interface is located 7cm from
the axis of rotation, while the free liquid surface is 4cm away from the
axis of rotation. Using the equations below, estimate the radial distance
from the rotational axis to the top of the overflow dam. *
P2-P1 =
2ge
1-PR
PA
A centrifuge bowl is to separate two immiscible liquids, one with SG 1.1 and the other with SG 0.9. The inside diameter of the bowl is 20cm, and it is rotating at 11000 rpm. The liquid-liquid interface is located 7cm from the axis of rotation, while the free liquid surface is 4cm away from the axis of rotation. Using the equations below, estimate the radial distance from the rotational axis to the top of the overflow dam.
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