starting with the chocked mass flow rate equation for isothermal ideal gas flow discharging through a small puncture in a vessel given by iii) y+1 My m = C,AP¡ 2 y-1 (2) RTf \y+1, 5 where A is the puncture area, y the ratio of specific heat capacities, M molecular weight, C, discharge coefficient, with subscript, f denoting fluid, show that, the variation of the upstream pressure, P(t) in the vessel as a function of time (t), is given by: Prt=0 P(t) C,tRTf е му (3) where V is the volume of the gas and y+1 Y-1 My C1 = C,A (4) RT; \y + 1,
starting with the chocked mass flow rate equation for isothermal ideal gas flow discharging through a small puncture in a vessel given by iii) y+1 My m = C,AP¡ 2 y-1 (2) RTf \y+1, 5 where A is the puncture area, y the ratio of specific heat capacities, M molecular weight, C, discharge coefficient, with subscript, f denoting fluid, show that, the variation of the upstream pressure, P(t) in the vessel as a function of time (t), is given by: Prt=0 P(t) C,tRTf е му (3) where V is the volume of the gas and y+1 Y-1 My C1 = C,A (4) RT; \y + 1,
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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Transcribed Image Text:iii)
starting with the chocked mass flow rate equation for isothermal ideal gas flow
discharging through a small puncture in a vessel given by
y+1
2
m = C,APf
Y-1
(2)
RT f
5
where A is the puncture area, y the ratio of specific heat capacities, M molecular
weight, C, discharge coefficient, with subscript, f denoting fluid, show that, the
variation of the upstream pressure, P(t) in the vessel as a function of time (t), is
given by:
Pft=0
CitRTf
P(t) :
e
MV
(3)
where V is the volume of the gas and
Y+1
My
C1 = C,A
|RT;
2
Y-1
(4)
+ 1,
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