ution
Solution
manual
Page
manual
for1 ballistics
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ballistics
the theory
the theory
and and
design
design
of ammunication
of ammunication
3rd edition
3rd edition
Donald
Donald
E. Carlucci
E. Carlucci
Sidney
Sidney
S. Jacobsonhttps://online2pdf.com/remove-pdf-header-footer
S. Jacobson.pdfhttps://online2pdf.com/remove-pdf-header-footer
Ballistics: The Theory and Design of
Ammunition and Guns 3rd Edition
Solutions Manual Part 0
Donald E. Carlucci
Sidney S. Jacobson
** Immediate Download
** Swift Response
** All Chapters included
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,ution
Solution
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ballistics
the theory
the theory
and and
design
design
of ammunication
of ammunication
3rd edition
3rd edition
Donald
Donald
E. Carlucci
E. Carlucci
Sidney
Sidney
S. Jacobsonhttps://online2pdf.com/remove-pdf-header-footer
S. Jacobson.pdfhttps://online2pdf.com/remove-pdf-header-footer
2.1 The Ideal Gas Law
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
without changing chemical composition. If the process takes place in an expulsion cup
with a volume of 10 in3, assuming ideal gas behavior, what will the final pressure be in
psi?
Answer p = 292 lbf2
in
Solution:
This problem is fairly straight-forward except for the units. We shall write our ideal gas
law and let the units fall out directly. The easiest form to start with is equation (IG-4)
pV = m g RT (IG-4)
Rearranging, we have
m g RT
p=
V
Here we go
1 kg 1 kgmol ft − lbf
(10)[g ] (8.314 )
kJ
(737.6 ) (12) in (1000)[K ]
1000 g kgmol ⋅ K 252 kg C6 H8 N 2O9 kJ ft
p=
(10)[in 3 ]
lbf
p = 292 2
in
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 unlikely 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 gases as follows. First, assuming
no air in the vessel we write the decomposition reaction.
C 6 H 8 N 2 O 9 → 4H 2 O + 5CO + N 2 + C(s )
Then for each constituent (we ignore solid carbon) we have
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,ution
Solution
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ballistics
the theory
the theory
and and
design
design
of ammunication
of ammunication
3rd edition
3rd edition
Donald
Donald
E. Carlucci
E. Carlucci
Sidney
Sidney
S. Jacobsonhttps://online2pdf.com/remove-pdf-header-footer
S. Jacobson.pdfhttps://online2pdf.com/remove-pdf-header-footer
N i ℜT
pi =
V
So we can write
kgmol H 2O kgmol C 6 H 8 N 2O 9
(4)
(8.314 )
kJ
(1000)[K ] 1 [
(10) g C 6 H 8 N 2O 9 ] 1,000
1 kg
C6 H8 N 2O9
kgmol C 6 H 8 N 2O 9 kgmol - K 252 kg C 6 H 8 N 2O 9 g C6 H8 N 2O9
p H 2O =
[ ]
(10) in 3 1 kJ 1 ft
737.6 ft − lbf 12 in
lbf
p H 2O = 1,168 2
in
kgmol C6 H8 N 2O9 1 kg C 6 H8 N 2O9
(5)
kgmol CO
(8.314)
kJ
(1000)[K ] 1 [
(10) g C6 H8 N 2O9 ]
kgmol C6 H8 N 2O9 kgmol - K 252 kg C6 H8 N 2O9 1,000 g C 6 H8 N 2O9
p CO =
[ ]
(10) in 3 1 kJ 1 ft
737.6 ft − lbf 12 in
lbf
p CO = 1,460 2
in
kgmol C6 H8 N 2O9
(1)
kgmol N 2
(8.314)
kJ
(1000)[K ] 1 [
(10) g C6 H8 N 2O9 ] 1,000
1 kg
C6 H8 N 2O9
kgmol C6 H8 N 2O9 kgmol - K 252 kg C6 H8 N 2O9
g C6 H8 N 2O9
p N2 =
[ ]
(10) in 3 1 kJ 1 ft
737.6 ft − lbf 12 in
lbf
p N 2 = 292 2
in
Then the total pressure is
p = p H 2O + p CO + p N 2
lbf lbf lbf lbf
p = 1,168 2 + 1,460 2 + 292 2 = 2,920 2
in in in in
2.2 Other Gas Laws
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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,ution
Solution
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ballistics
the theory
the theory
and and
design
design
of ammunication
of ammunication
3rd edition
3rd edition
Donald
Donald
E. Carlucci
E. Carlucci
Sidney
Sidney
S. Jacobsonhttps://online2pdf.com/remove-pdf-header-footer
S. Jacobson.pdfhttps://online2pdf.com/remove-pdf-header-footer
Answer: p = 314.2 lbf2
in
Solution:
This problem is again straight-forward except for those pesky units – but we’ve done this
before. We start with equation (VW-2)
p(V − cb ) = m g RT (VW-2)
Rearranging, we have
m g RT
p=
V − cb
Here we go
1 kg 1 kgmol ft − lbf
(10)[g ] (8.314 )
kJ
(737.6 ) (12) in (1000)[K ]
1000 g kgmol ⋅ K 252 kg C6 H8 N 2O9 kJ ft
p=
3
[ ]
(10) in 3 − (10)[g ] 1 kg (2.2) lbm (32.0) in
1000 g kg lbm
lbf
p = 314.2 2
in
So you can see that the real gas behavior is somewhat different than ideal gas behavior at
this low pressure – it makes more of a difference at the greater pressures.
Again please note that this result is unlikely to happen. If the chemical composition were
reacted we would have to balance the reaction equation and would again have to use
Dalton’s law for the partial pressures of the gases. Again, assuming no air in the vessel
we write the decomposition reaction.
C 6 H 8 N 2 O 9 → 4H 2 O + 5CO + N 2 + C(s )
Then for each constituent (again ignoring solid carbon) we have
N i ℜT
pi =
(V - cb )
So we can write
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ofballistics
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the theory and design of ammunication 3rd
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edition Donald E. Carlucci Sidney S. Jacobson.pdfhttps://online2pdf.com/remove-pdf-header-footer
Solution
manual
Page
manual
for1 ballistics
offor549https://online2pdf.com/remove-pdf-header-footer
ballistics
the theory
the theory
and and
design
design
of ammunication
of ammunication
3rd edition
3rd edition
Donald
Donald
E. Carlucci
E. Carlucci
Sidney
Sidney
S. Jacobsonhttps://online2pdf.com/remove-pdf-header-footer
S. Jacobson.pdfhttps://online2pdf.com/remove-pdf-header-footer
Ballistics: The Theory and Design of
Ammunition and Guns 3rd Edition
Solutions Manual Part 0
Donald E. Carlucci
Sidney S. Jacobson
** Immediate Download
** Swift Response
** All Chapters included
n manual 1for
ofballistics
549https://online2pdf.com/remove-pdf-header-footer
the theory and design of ammunication 3rd
1https://online2pdf.com/remove-pdf-header-footer
edition Donald E. Carlucci Sidney S. Jacobson.pdfhttps://online2pdf.com/remove-pdf-header-footer
,ution
Solution
manual
Page
manual
for2 ballistics
offor549https://online2pdf.com/remove-pdf-header-footer
ballistics
the theory
the theory
and and
design
design
of ammunication
of ammunication
3rd edition
3rd edition
Donald
Donald
E. Carlucci
E. Carlucci
Sidney
Sidney
S. Jacobsonhttps://online2pdf.com/remove-pdf-header-footer
S. Jacobson.pdfhttps://online2pdf.com/remove-pdf-header-footer
2.1 The Ideal Gas Law
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
without changing chemical composition. If the process takes place in an expulsion cup
with a volume of 10 in3, assuming ideal gas behavior, what will the final pressure be in
psi?
Answer p = 292 lbf2
in
Solution:
This problem is fairly straight-forward except for the units. We shall write our ideal gas
law and let the units fall out directly. The easiest form to start with is equation (IG-4)
pV = m g RT (IG-4)
Rearranging, we have
m g RT
p=
V
Here we go
1 kg 1 kgmol ft − lbf
(10)[g ] (8.314 )
kJ
(737.6 ) (12) in (1000)[K ]
1000 g kgmol ⋅ K 252 kg C6 H8 N 2O9 kJ ft
p=
(10)[in 3 ]
lbf
p = 292 2
in
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 unlikely 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 gases as follows. First, assuming
no air in the vessel we write the decomposition reaction.
C 6 H 8 N 2 O 9 → 4H 2 O + 5CO + N 2 + C(s )
Then for each constituent (we ignore solid carbon) we have
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ofballistics
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,ution
Solution
manual
Page
manual
for3 ballistics
offor549https://online2pdf.com/remove-pdf-header-footer
ballistics
the theory
the theory
and and
design
design
of ammunication
of ammunication
3rd edition
3rd edition
Donald
Donald
E. Carlucci
E. Carlucci
Sidney
Sidney
S. Jacobsonhttps://online2pdf.com/remove-pdf-header-footer
S. Jacobson.pdfhttps://online2pdf.com/remove-pdf-header-footer
N i ℜT
pi =
V
So we can write
kgmol H 2O kgmol C 6 H 8 N 2O 9
(4)
(8.314 )
kJ
(1000)[K ] 1 [
(10) g C 6 H 8 N 2O 9 ] 1,000
1 kg
C6 H8 N 2O9
kgmol C 6 H 8 N 2O 9 kgmol - K 252 kg C 6 H 8 N 2O 9 g C6 H8 N 2O9
p H 2O =
[ ]
(10) in 3 1 kJ 1 ft
737.6 ft − lbf 12 in
lbf
p H 2O = 1,168 2
in
kgmol C6 H8 N 2O9 1 kg C 6 H8 N 2O9
(5)
kgmol CO
(8.314)
kJ
(1000)[K ] 1 [
(10) g C6 H8 N 2O9 ]
kgmol C6 H8 N 2O9 kgmol - K 252 kg C6 H8 N 2O9 1,000 g C 6 H8 N 2O9
p CO =
[ ]
(10) in 3 1 kJ 1 ft
737.6 ft − lbf 12 in
lbf
p CO = 1,460 2
in
kgmol C6 H8 N 2O9
(1)
kgmol N 2
(8.314)
kJ
(1000)[K ] 1 [
(10) g C6 H8 N 2O9 ] 1,000
1 kg
C6 H8 N 2O9
kgmol C6 H8 N 2O9 kgmol - K 252 kg C6 H8 N 2O9
g C6 H8 N 2O9
p N2 =
[ ]
(10) in 3 1 kJ 1 ft
737.6 ft − lbf 12 in
lbf
p N 2 = 292 2
in
Then the total pressure is
p = p H 2O + p CO + p N 2
lbf lbf lbf lbf
p = 1,168 2 + 1,460 2 + 292 2 = 2,920 2
in in in in
2.2 Other Gas Laws
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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ofballistics
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,ution
Solution
manual
Page
manual
for4 ballistics
offor549https://online2pdf.com/remove-pdf-header-footer
ballistics
the theory
the theory
and and
design
design
of ammunication
of ammunication
3rd edition
3rd edition
Donald
Donald
E. Carlucci
E. Carlucci
Sidney
Sidney
S. Jacobsonhttps://online2pdf.com/remove-pdf-header-footer
S. Jacobson.pdfhttps://online2pdf.com/remove-pdf-header-footer
Answer: p = 314.2 lbf2
in
Solution:
This problem is again straight-forward except for those pesky units – but we’ve done this
before. We start with equation (VW-2)
p(V − cb ) = m g RT (VW-2)
Rearranging, we have
m g RT
p=
V − cb
Here we go
1 kg 1 kgmol ft − lbf
(10)[g ] (8.314 )
kJ
(737.6 ) (12) in (1000)[K ]
1000 g kgmol ⋅ K 252 kg C6 H8 N 2O9 kJ ft
p=
3
[ ]
(10) in 3 − (10)[g ] 1 kg (2.2) lbm (32.0) in
1000 g kg lbm
lbf
p = 314.2 2
in
So you can see that the real gas behavior is somewhat different than ideal gas behavior at
this low pressure – it makes more of a difference at the greater pressures.
Again please note that this result is unlikely to happen. If the chemical composition were
reacted we would have to balance the reaction equation and would again have to use
Dalton’s law for the partial pressures of the gases. Again, assuming no air in the vessel
we write the decomposition reaction.
C 6 H 8 N 2 O 9 → 4H 2 O + 5CO + N 2 + C(s )
Then for each constituent (again ignoring solid carbon) we have
N i ℜT
pi =
(V - cb )
So we can write
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ofballistics
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