TUTORIAL TUTORIAL CHE471 CHE471 DATE ; 12/5/2016
1.
An emp empty ty gas gas cyli cylind nder er is is fil filled led wit with h 784. 784.4 4 grams grams of of meth methan anee to a pressu pressure re of 4.0 4.02 2 MPa. MPa. The The temperature of the gas within the cylinder is 10.4! °". "alculate "alculate the #olume #olume of the the cylinde cylinder r using$ a% the ideal gas law &% the gener generali alised sed compressi compressi&i &ili lity ty factor factor chart. chart.
2.
A techn technic ical al assi assista stant nt is attem attempti pting ng to fill fill a gas cyli cylind nder er with with an an e'uim e'uimol olar ar mi( mi(tur turee of &utane &utane and and nitrogen. The cylinder cylinder is firstly completely e#acuated and then connected to the th e &utane pipeline and fille filled d to a pressure of 2.) MPa. The assistant assistant then connects the cylind cylinder er to the nitrogen pipel pipeline ine &ut fin finds ds that the pressur pressuree a#aila a#aila&l &lee in in this this lin linee is is only only 4.8 MPa. MPa. *t is too late late to shut the the system off so the assistant ta+es ta +es the cylinder up to this line pressure pressur e with nitrogen. nitrogen. The assistant decides that to achie#e the desired e'uimolar mi(ture some of the gas mi(ture in the cylinder will &e #ented to waste, lowering the pressure in the cylinder, and then the cylinder will &e re connected connected to the nitrogen nitrogen line line and ta+en &ac+ up to the line line pressure pressure of 4.8 MPa. To what what pressure pressure shoul should d the the cyli cylinde nderr &e #ented#ented*t may &e assumed that all pressures 'uoted are a&solute, that there is no change in temperature during the operation and that gas mi(ing in the cylinder is instantaneous.
.
A 10) / cylind cylinder er is e#acuated and then charged charged with a gas containing containing 88 mol 2 with the &alanc &alancee "2. The gas temperature is 4°" and the pressure within the filled cylinder is 121 atm. "alculate the mass of the gas within the cylinder using$ a% the ideal gas law &% the gener generali alised sed compressi compressi&i &ili lity ty factor factor chart. chart.
4.
A resear research ch la& la&or orator atory y is &usy &usy testin testing g a new new,, rugg rugged, ed, saf safety ety switch switch desi design gned ed to to send send out out a signa signall when the temperature in a fluidised fluidised &ed e(ceeds a preset #alue. The switch system system consists of a hollow metal cylinder of internal #olume 400 m/ with a fle(i&le metal diaphragm at one end. 3hen the pressure in the cylinder e(ceeds a predetermined #alue of .2! MPa the metal fle(es, forms a connection &etween 2 contacts and an alarm signal signal sounds. 5y changing changing the the amount and +ind of gas present in the cylinder the temperature at which the alarm sounds can &e #aried o#er a wide range.
!.
a%
*f the al alarm is to &e &e set to to go go of off at 4 40°", how many moles of car&on dio(ide should &e introduced into the hollow cylinder-
&%
*f the car&on car&on dio(id dio(idee were introduc introduced ed at room temperature temperature 62! °"%, what would the pressure pressure 6in 6in +Pa% +Pa% of the car&on car&on dio(id dio(idee in the cyli cylind nder er &e &e at that that temperature temperature--
c%
*f &y &y mi mista+e, th the cyl cylinder wer were to &e fi filled at at 2!°" to the same same pressure pressure as that that calculated in 6&% a&o#e, &ut with car&on mono(ide instead of car&on dio(ide, at what temperature would the alarm then soundsound-
*t is inte intend nded ed to mar+e mar+ett prop propan anee in smal smalll cyli cylind nder erss ha#in ha#ing g a #olum #olumee of 18.0 18.0 litr litres es,, conta contain inin ing g
0.840 +g of propane. *f the cylinders may &e e(posed to a ma(imum temperature of 10 °", calculate the pressure 6+Pa% for which they must &e designed, using$ a% the ideal gas law &% the generalied compressi&ility factor charts
.
A gas sample ta+en from pressurised purge line at !0 ° and 4!0 psig is analysed in the la&oratory. *t was found that the masses of each component in the gas sample were$ "omponent
Mass 6gram%
methane
4
toluene
17
isopropylcyclopentane
!
2methyl pentane
17
2methyl he(ane
2)
3hat was the density of the original gas sample within the purge line, e(pressed in +g9m -
7.
A steel cylinder contains a mi(ture of propane 68 mol %, n&utane 621 mol % and iso&utane 611 mol % at ).2 atm. *nitially the com&ined weight of the cylinder and gas is 112.1 +g. #er se#eral hours a portion of the gas is remo#ed from the cylinder. 3hen ne(t the cylinder is e(amined the pressure has dropped to 14. atm and the com&ined mass of the cylinder and remaining gas is )7. +g. The temperature is maintained constant at 140°". "alculate the #olume of the steel cylinder.
M3
Tc 6:%
Pc 6atm%
car&on dio(ide
44.0
04.2
72.8
car&on mono(ide
2.0
1.0
4.!
propane
44.0
).8
41.)
n&utane
!8.12
42!.2
7.!
iso&utane
!8.12
408.1
.0
nhe(ane
8.2
!07.
2).
isopropylcyclopentane
112.2
01.0
2).
methane
1.04
1)0.
4!.4
2methyl pentane
8.2
4)7.!
2).7
2methyl he(ane
100.2
!0.4
27.0
nitrogen
28.0
12.2
.!
toluene
)2.1
!)1.8
40.
1 atm
≡
1012! Pa
;ni#ersal
9mol :
