Solutions for Ballistics: The Theory and Design of Ammunition and Guns, 3rd Edition Carlucci (All Chapters included)
16 views 1 purchase
Course
Ballistics
Institution
Ballistics
Complete Solutions Manual for Ballistics, The Theory and Design of Ammunition and Guns, 3rd Edition By Donald E. Carlucci, Sidney S. Jacobson ; ISBN13: 9781138055315. (Full Chapters included Chapter 1 to 21)....1. Introductory Concepts. 2. Physical Foundation of Interior Ballistics. 3. Analytic and...
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?
lbf
Answer p = 292
in2
M
Solution:
ED
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)
C
pV = mg RT (IG-4)
O
Rearranging, we have
N
mg RT
p=
N
V
O
Here we go
ft − lbf
(10)g 1 kg (8.314) kJ 1 kgmol (737.6
) ( 12)
in
(1000)K
1000 g kgmol K
IS
252 kg C H N O kJ ft
p=
( 8 2 9
10) in 3
SE
6
lbf
p = 292
in2
U
You will notice that the units are all screwy – but that’s half the battle when working
R
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.
C6 H8 N 2 O9 → 4H2 O + 5CO + N 2 + C(s)
Then for each constituent (we ignore solid carbon) we have
So we can write kgmolC H N O
(4) kgmol (8.314) kJ (1000)K 1 (10)g 1 kg C H N O
6 8 2 9
kgmol H O kgmol - K C H N O 1,000 g 6 8 2 9 6 8 2 9
252 kg C H N O
2
= 1,168
pH2 O in2
1 kgmolC6 H8 N2O9
(5) kgmol (8.314) kJ
(1000)K (10) g 1 kg
ED
kgmol
CO kgmol - K
252 kg
C H N O
6 8 2 9
1,000 g
C6 H8 N2 O9
CHNO
p CO =
C H N O C H N O
9 1 6 8 2 9
10 in3 kJ 1 ft
6 8 2 6 8 2 9
1000 g kgmol K 252 kg C H N O kJ3 ft
p=
6 8 2 9
( ) 3 − (10)g
1
N
kg (2.2)lbm(32.0) in
10 in 1000 g kg lbm
N
O
lbf
p = 314.2
IS
in2
So you can see that the real gas behavior is somewhat different than ideal gas behavior at
SE
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
U
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
R
we write the decomposition reaction.
C6 H8 N 2 O9 → 4H 2 O + 5CO + N 2 + C(s)
Then for each constituent (again ignoring solid carbon) we have
Ni T
pi =
(V - cb)
So we can write
4
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller MedConnoisseur. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $19.99. You're not tied to anything after your purchase.
