Ballistics: The Theory and Design of
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Ammunition and Guns 3rd Edition = = = = =
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Solutions Manual Part 0 = = = =
Donald E. Carlucci = = =
Sidney S. Jacobson
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** Immediate Download
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** Swift Response
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** All Chapters included
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2.1 The Ideal Gas Law
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Problem=1=-=Assume=we=have=a=quantity=of=10=grams=of=11.1%=nitrated=nitrocellulose=
(C6H8N2O9)=and=it=is=heated=to=a=temperature=of=1000K=and=changes=to=gas=somehow=wit
hout=changing=chemical=composition.=If=the=process=takes=place=in=an=expulsion=cup=with
3
=a=volume=of=10=in ,=assuming=ideal=gas=behavior,=what=will=the=final=pressure=be=in=psi?=
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Answer=p===292 =lbf= =
in=2== =
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Solution:=
=
This=problem=is=fairly=straight-
forward=except=for=the=units.=We=shall=write=our=ideal=gas=law=and=let=the=units=fall=out=dir
ectly.=The=easiest=form=to=start=with=is=equation=(IG-4)=
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pV===mg RT= = (IG-4)=
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Rearranging,=we=have=
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mg RT=
=
p===
V=
,= uytrewuytrew= =
=
Here=we=go=
( )
=
(10) g =
1000 =1== = g=kg = 8.314 =kgmol=
=
( ) ( ) (
kJ== K= ===2521== = =kgkgmol=C=H=N==O= 737.6=
= = = ft= =−=kJlbf== 12 = in =ft= = 1000 =
) K =
= = = =
== p== = =
3= 6= 8= 2====9== =
(10) in =
p===292 =lbf= =
in=2== =
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You=will=notice=that=the=units=are=all=screwy=–
=but=that’s=half=the=battle=when=working=these=problems!=Please=note=that=this=result=is=unl
ikely=to=happen.=If=the=chemical=composition=were=reacted=we=would=have=to=balance=the=
reaction=equation=and=would=have=to=use=Dalton’s=law=for=the=partial=pressures=of=the=gas
es=as=follows.=First,=assuming=no=air=in=the=vessel=we=write=the=decomposition=reaction.=
C6 H8 N=2 O9 →=4H=2 O=+=5CO=+=N=2 +=C(s)=
= = = = = =
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Then=for=each=constituent=(we=ignore=solid=carbon)=we=have=
p=i=== NiV= =T=
=
So=we=can=write=
= 10)g=C=H=N=O= = ==1== =
= (4) = ===kgmol6===H=8=2====O===2======9=== =(8.314) ==kgmol= kJ==-
= K= =(=1000) K ===252=1==== ==kgmo==kg=Cl=6C===H==68==H====N==O8=2=N=====2=9O= 9=== =(=== =6= 8= 2
9==== 1,000 == ==g=kg=C=6=C===H=6==8H=====N=8==N2====O=====2=O9====9=== ====
kgmol=C=H==N==O=== = =
,= uytrewuytrew= =
p= == = =
H=2O= (10 ) in
= =
==3= === 1= = == kJ =
= 1 = ft= ==
=
=
=
=
=
=
=
= =737.6= ft=−=lbf= =12= in= =
= = 1,168 =lbf= =
pH2O== in=2== =
= (5) = kgmolCO== (8.314) == kJ= (1000) K
1 === ===
= kgmolC6=H8=N2O9=== (10) g ==
== 1== =kg=C6=H8=N2O9= =
=
=kgmol= = =kgmol=-=K= = =252= =kg= = C6=H8=N2O9==== =1,000= =g= =
= = = =
= = = = =
C = H= N= O=== C = H==N= O= C = H==N==O===
pCO= =
= = = =
= == = 6====8=====2====9=== = ()
= = 6====1=8====== 2=== ===9=ft= === =
6====8=====2====9===== =
10=in=3==
1= = kJ=
p
CO= ==1,460 =lbf= = =737.6= ==ft=− lbf= =12= in= = =
in=2== == == kJ=
(1) = kgmol (8.314) (1000) K === 1=== =kgmolC6=H8=N2O9=== (10) g =
== 1== =kg=C6=H8=N2O9= =
2=
= = = = = = =
kgmol= kgmol=-=K== 252= kg= C6=H8=N2O9= =
1,000 g
= =
=
N=
==
N2=
, = uytrewuytrew= =
=C=H=N=O=== = =(= )=
= = = = =C=H==N=O= = = =C=H==N==O===== =p=== =
6====8=====2====9=== = = =
6====8=====2====9= =
6====8=====2====9===== =
pN2===292 =lbf= = 10=in=3= ==737.61== ===ft=−kJ=lbf== ==121== ==inft== ===
in=2== =
2= 2=
Then=the=total=pressure=is=
pp======1,168pH==O=+ ==lbfpCO= ==+==1,460pN =lbf= =+=29 =
2 =lbf= ===2,920 =lbf= =in=2= += in=2== = =
in=2== in=2==
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2.2 Other Gas Laws
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Problem=2=-=Perform=the=same=calculation=as=in=problem=1=but=use=the=Noble-
Abel=equation=of=state=and=assume=the=covolume=to=be=32.0=in3/lbm=
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Answer:=p===314.2 =lbf= =
in=2== =
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Solution:=
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This=problem=is=again=straight-forward=except=for=those=pesky=units=–
=but=we’ve=done=this=before.=We=start=with=equation=(VW-2)=
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p(V=−=cb)===mg RT= = (VW-2)=
=
Rearranging,=we=have=
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mg RT=
=
p===
V=−=cb=
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Here=we=go=