Homework Help is Here – Start Your Trial Now!
Engineering
Chemical Engineering
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 Y- My m = C,AP, MY, (2) (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: Pf,t=0 P(t) = C₁tRTf (3) where V is the volume of the gas and C₁ = C₂A e MV y+1 My 2 y-1 RTf y + 1/ (4)

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 Y- My m = C,AP, MY, (2) (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: Pf,t=0 P(t) = C₁tRTf (3) where V is the volume of the gas and C₁ = C₂A e MV y+1 My 2 y-1 RTf y + 1/ (4)

Introduction to Chemical Engineering Thermodynamics
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
See similar textbooks
icon
Related questions
Question

Please help to me to solve (iii) and (iv) with clear steps. Thanks!

iii) starting with the chocked mass flow rate equation for isothermal ideal gas flow discharging through a small puncture in a vessel given by My Y+1 Y- m = C,APf (2) √RTF (+1) 5 where A is the puncture area, y the ratio of specific heat capacities, M molecular weight, Co 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: P(t) = Pf,t=0 C₁tRTf (3) = e MV where V is the volume of the gas and My 2 C₁ = C₂A (4) RTf +1, iv) Using equations (2) & (3) above along with ideal gas flow rate equation for unchoked flow, assuming that these hold for the case of a rupture in a pipe, determine the corresponding variation of mass release rate with time in the first 11 s following pipe failure, presenting the results in both in tabular and graphical forms at 0.5 s intervals. You may assume that post pipe failure, immediate transition of the liquid ammonia occupying the entire volume of the pipe to the gas phase occurs at constant temperature, and that the feed flow into the pipe is terminated immediately after failure using an emergency shutdown valve. In performing your calculations, clearly state any equations used along with the definitions of symbols. y+1 Y-
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 My Y+1 Y- m = C,APf (2) √RTF (+1) 5 where A is the puncture area, y the ratio of specific heat capacities, M molecular weight, Co 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: P(t) = Pf,t=0 C₁tRTf (3) = e MV where V is the volume of the gas and My 2 C₁ = C₂A (4) RTf +1, iv) Using equations (2) & (3) above along with ideal gas flow rate equation for unchoked flow, assuming that these hold for the case of a rupture in a pipe, determine the corresponding variation of mass release rate with time in the first 11 s following pipe failure, presenting the results in both in tabular and graphical forms at 0.5 s intervals. You may assume that post pipe failure, immediate transition of the liquid ammonia occupying the entire volume of the pipe to the gas phase occurs at constant temperature, and that the feed flow into the pipe is terminated immediately after failure using an emergency shutdown valve. In performing your calculations, clearly state any equations used along with the definitions of symbols. y+1 Y-
Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Introduction to Chemical Engineering Thermodynami…
Introduction to Chemical Engineering Thermodynami…
Chemical Engineering
ISBN:
9781259696527
Author:
J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:
McGraw-Hill Education
Elementary Principles of Chemical Processes, Bind…
Elementary Principles of Chemical Processes, Bind…
Chemical Engineering
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY
Elements of Chemical Reaction Engineering (5th Ed…
Elements of Chemical Reaction Engineering (5th Ed…
Chemical Engineering
ISBN:
9780133887518
Author:
H. Scott Fogler
Publisher:
Prentice Hall
Process Dynamics and Control, 4e
Process Dynamics and Control, 4e
Chemical Engineering
ISBN:
9781119285915
Author:
Seborg
Publisher:
WILEY
Industrial Plastics: Theory and Applications
Industrial Plastics: Theory and Applications
Chemical Engineering
ISBN:
9781285061238
Author:
Lokensgard, Erik
Publisher:
Delmar Cengage Learning
Unit Operations of Chemical Engineering
Unit Operations of Chemical Engineering
Chemical Engineering
ISBN:
9780072848236
Author:
Warren McCabe, Julian C. Smith, Peter Harriott
Publisher:
McGraw-Hill Companies, The
SEE MORE TEXTBOOKS