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### Topic: nitrogen volume in a pipe needed for leak test  (Read 13693 times)

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#### efendy

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##### nitrogen volume in a pipe needed for leak test
« on: May 06, 2010, 09:02:36 PM »
hi All,
i'm new in this forum. got 1 question. i'm doing a calculation for nitrogen volume in a pipe needed for leak test. since the supplied condition is at certain pressure, i need to know what's the total volume needed in SCF. So, i got my solution:

The first thing you should do is calculate the actual volume of the pipe.

The cross-sectional area of the pipe:

A=pi*r^2=pi(3.469in/2)^2
A=9.45in^2

Convert the square inches to square ft

A=9.45in^s*1ft^2/144in^2
A=0.06564ft^2

Calculate the Volume of the Pipe:

V=A*L
V=0.06564ft^2*12500ft
V=820.4ft^3

Now since the nitrogen is being stored at 6000 psi it is not at standard conditions. The nitrogen at standard conditions will have to be calculated.

First the critical conditions of the nitrogen must be checked.

I will have to assume that the pipe is at a standard temperature.

Since the pressure is so high nitrogen is not ideal. The Z factor is used in the following equation.

P*V=z*n*R*T

Pressure is:
P=6014.7psia assuming the pressure given is gauge
V=820.4ft^2 volume of the pipe
z=1.25 Obtained from David M Hemmelblau graph
R=10.73(ft^3*psia)/(lbmol*R) Gas const. or 8.314 JK-1Mol-1
T=527.67R Std temp
n=(P*V)/(z*R*T)
Units omitted to conserve space in calc
n=(6014.7*820.4)/(1.25*10.73*5...
n=696.7lbmol

Now at standard conditions the ideal gas law applies

R=10.73 Gas const
T=527.67 Std temp in R
P=14.7 Std press in psia
n=696.7 moles lb basis
Calculate Volume in SCF
V=n*R*T/P
V=696.7*10.73*527.67/14.7
V=268,343.2SCF
Or
V=268.3 MSCF

Now come my question: Does anyone here have the David M Hemmelblau graph because i've lost mine? i've been searching over the internet, but couldn't find any. could you paste it here?
Thank you,
Efendy
« Last Edit: May 06, 2010, 09:20:13 PM by efendy »

#### Borek

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##### Re: nitrogen volume in a pipe needed for leak test
« Reply #1 on: May 07, 2010, 03:13:12 AM »
http://www.amazon.com/Basic-Principles-Calculations-Chemical-Engineering/dp/0133057984