Home » Archimedes archive » Acorn User » AU 1997-01 B.adf » Regulars » StarInfo/Allen/!Ignotum/Formulae/Formulae/Gase

StarInfo/Allen/!Ignotum/Formulae/Formulae/Gase

This website contains an archive of files for the Acorn Electron, BBC Micro, Acorn Archimedes, Commodore 16 and Commodore 64 computers, which Dominic Ford has rescued from his private collection of floppy disks and cassettes.

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# Physics > Gases

# New entries should take the form of:
#     Formula
#     Note 1
#     Note 2
#     Note 3
#     Note 4
#     Note 5
#     Formula
#     Note 1
#     And so on...
# To fit snugly into the window, each line should be no longer
# than 42 characters.
# There is a limit of 25 formulas per topic.

# Any notes should be made here, at the beginning and should
# be preceeded by a hash (#).

p1V1/T1=p2V2/T2
For any ideal gas where:
p1 and p2 are two different pressures
V1 and V2 are two different volumes
T1 and T2 are two different temperatures
(in Kelvin)
pV=nRT
Called the ideal gas equation, where:
p=pressure, V=volume
n=number of moles (1 mole=6�10^23 atoms)
R=molar gas constant=8.31 J/molK
T=temperature (K)
pV=Nm{c�}/3
Where:
p=pressure, V=volume
N=number molecules, m=mass of a molecule
{c�}=mean square speed of molecules (the
average of the square of the speeds)
p=d{c�}/3
Where:
p=pressure
d=density
{c�}=mean square speed of molecules (the
average of the square of the speeds)
KE=3RT/2
Where:
KE=mean kinetic energy of one mole of an
ideal gas
R=molar gas constant=8.31 J/molK
T=temperature (K)
























































































































00000000  23 20 50 68 79 73 69 63  73 20 3e 20 47 61 73 65  |# Physics > Gase|
00000010  73 0a 0a 23 20 4e 65 77  20 65 6e 74 72 69 65 73  |s..# New entries|
00000020  20 73 68 6f 75 6c 64 20  74 61 6b 65 20 74 68 65  | should take the|
00000030  20 66 6f 72 6d 20 6f 66  3a 0a 23 20 20 20 20 20  | form of:.#     |
00000040  46 6f 72 6d 75 6c 61 0a  23 20 20 20 20 20 4e 6f  |Formula.#     No|
00000050  74 65 20 31 0a 23 20 20  20 20 20 4e 6f 74 65 20  |te 1.#     Note |
00000060  32 0a 23 20 20 20 20 20  4e 6f 74 65 20 33 0a 23  |2.#     Note 3.#|
00000070  20 20 20 20 20 4e 6f 74  65 20 34 0a 23 20 20 20  |     Note 4.#   |
00000080  20 20 4e 6f 74 65 20 35  0a 23 20 20 20 20 20 46  |  Note 5.#     F|
00000090  6f 72 6d 75 6c 61 0a 23  20 20 20 20 20 4e 6f 74  |ormula.#     Not|
000000a0  65 20 31 0a 23 20 20 20  20 20 41 6e 64 20 73 6f  |e 1.#     And so|
000000b0  20 6f 6e 2e 2e 2e 0a 23  20 54 6f 20 66 69 74 20  | on....# To fit |
000000c0  73 6e 75 67 6c 79 20 69  6e 74 6f 20 74 68 65 20  |snugly into the |
000000d0  77 69 6e 64 6f 77 2c 20  65 61 63 68 20 6c 69 6e  |window, each lin|
000000e0  65 20 73 68 6f 75 6c 64  20 62 65 20 6e 6f 20 6c  |e should be no l|
000000f0  6f 6e 67 65 72 0a 23 20  74 68 61 6e 20 34 32 20  |onger.# than 42 |
00000100  63 68 61 72 61 63 74 65  72 73 2e 0a 23 20 54 68  |characters..# Th|
00000110  65 72 65 20 69 73 20 61  20 6c 69 6d 69 74 20 6f  |ere is a limit o|
00000120  66 20 32 35 20 66 6f 72  6d 75 6c 61 73 20 70 65  |f 25 formulas pe|
00000130  72 20 74 6f 70 69 63 2e  0a 0a 23 20 41 6e 79 20  |r topic...# Any |
00000140  6e 6f 74 65 73 20 73 68  6f 75 6c 64 20 62 65 20  |notes should be |
00000150  6d 61 64 65 20 68 65 72  65 2c 20 61 74 20 74 68  |made here, at th|
00000160  65 20 62 65 67 69 6e 6e  69 6e 67 20 61 6e 64 20  |e beginning and |
00000170  73 68 6f 75 6c 64 0a 23  20 62 65 20 70 72 65 63  |should.# be prec|
00000180  65 65 64 65 64 20 62 79  20 61 20 68 61 73 68 20  |eeded by a hash |
00000190  28 23 29 2e 0a 0a 70 31  56 31 2f 54 31 3d 70 32  |(#)...p1V1/T1=p2|
000001a0  56 32 2f 54 32 0a 46 6f  72 20 61 6e 79 20 69 64  |V2/T2.For any id|
000001b0  65 61 6c 20 67 61 73 20  77 68 65 72 65 3a 0a 70  |eal gas where:.p|
000001c0  31 20 61 6e 64 20 70 32  20 61 72 65 20 74 77 6f  |1 and p2 are two|
000001d0  20 64 69 66 66 65 72 65  6e 74 20 70 72 65 73 73  | different press|
000001e0  75 72 65 73 0a 56 31 20  61 6e 64 20 56 32 20 61  |ures.V1 and V2 a|
000001f0  72 65 20 74 77 6f 20 64  69 66 66 65 72 65 6e 74  |re two different|
00000200  20 76 6f 6c 75 6d 65 73  0a 54 31 20 61 6e 64 20  | volumes.T1 and |
00000210  54 32 20 61 72 65 20 74  77 6f 20 64 69 66 66 65  |T2 are two diffe|
00000220  72 65 6e 74 20 74 65 6d  70 65 72 61 74 75 72 65  |rent temperature|
00000230  73 0a 28 69 6e 20 4b 65  6c 76 69 6e 29 0a 70 56  |s.(in Kelvin).pV|
00000240  3d 6e 52 54 0a 43 61 6c  6c 65 64 20 74 68 65 20  |=nRT.Called the |
00000250  69 64 65 61 6c 20 67 61  73 20 65 71 75 61 74 69  |ideal gas equati|
00000260  6f 6e 2c 20 77 68 65 72  65 3a 0a 70 3d 70 72 65  |on, where:.p=pre|
00000270  73 73 75 72 65 2c 20 56  3d 76 6f 6c 75 6d 65 0a  |ssure, V=volume.|
00000280  6e 3d 6e 75 6d 62 65 72  20 6f 66 20 6d 6f 6c 65  |n=number of mole|
00000290  73 20 28 31 20 6d 6f 6c  65 3d 36 d7 31 30 5e 32  |s (1 mole=6.10^2|
000002a0  33 20 61 74 6f 6d 73 29  0a 52 3d 6d 6f 6c 61 72  |3 atoms).R=molar|
000002b0  20 67 61 73 20 63 6f 6e  73 74 61 6e 74 3d 38 2e  | gas constant=8.|
000002c0  33 31 20 4a 2f 6d 6f 6c  4b 0a 54 3d 74 65 6d 70  |31 J/molK.T=temp|
000002d0  65 72 61 74 75 72 65 20  28 4b 29 0a 70 56 3d 4e  |erature (K).pV=N|
000002e0  6d 7b 63 b2 7d 2f 33 0a  57 68 65 72 65 3a 0a 70  |m{c.}/3.Where:.p|
000002f0  3d 70 72 65 73 73 75 72  65 2c 20 56 3d 76 6f 6c  |=pressure, V=vol|
00000300  75 6d 65 0a 4e 3d 6e 75  6d 62 65 72 20 6d 6f 6c  |ume.N=number mol|
00000310  65 63 75 6c 65 73 2c 20  6d 3d 6d 61 73 73 20 6f  |ecules, m=mass o|
00000320  66 20 61 20 6d 6f 6c 65  63 75 6c 65 0a 7b 63 b2  |f a molecule.{c.|
00000330  7d 3d 6d 65 61 6e 20 73  71 75 61 72 65 20 73 70  |}=mean square sp|
00000340  65 65 64 20 6f 66 20 6d  6f 6c 65 63 75 6c 65 73  |eed of molecules|
00000350  20 28 74 68 65 0a 61 76  65 72 61 67 65 20 6f 66  | (the.average of|
00000360  20 74 68 65 20 73 71 75  61 72 65 20 6f 66 20 74  | the square of t|
00000370  68 65 20 73 70 65 65 64  73 29 0a 70 3d 64 7b 63  |he speeds).p=d{c|
00000380  b2 7d 2f 33 0a 57 68 65  72 65 3a 0a 70 3d 70 72  |.}/3.Where:.p=pr|
00000390  65 73 73 75 72 65 0a 64  3d 64 65 6e 73 69 74 79  |essure.d=density|
000003a0  0a 7b 63 b2 7d 3d 6d 65  61 6e 20 73 71 75 61 72  |.{c.}=mean squar|
000003b0  65 20 73 70 65 65 64 20  6f 66 20 6d 6f 6c 65 63  |e speed of molec|
000003c0  75 6c 65 73 20 28 74 68  65 0a 61 76 65 72 61 67  |ules (the.averag|
000003d0  65 20 6f 66 20 74 68 65  20 73 71 75 61 72 65 20  |e of the square |
000003e0  6f 66 20 74 68 65 20 73  70 65 65 64 73 29 0a 4b  |of the speeds).K|
000003f0  45 3d 33 52 54 2f 32 0a  57 68 65 72 65 3a 0a 4b  |E=3RT/2.Where:.K|
00000400  45 3d 6d 65 61 6e 20 6b  69 6e 65 74 69 63 20 65  |E=mean kinetic e|
00000410  6e 65 72 67 79 20 6f 66  20 6f 6e 65 20 6d 6f 6c  |nergy of one mol|
00000420  65 20 6f 66 20 61 6e 0a  69 64 65 61 6c 20 67 61  |e of an.ideal ga|
00000430  73 0a 52 3d 6d 6f 6c 61  72 20 67 61 73 20 63 6f  |s.R=molar gas co|
00000440  6e 73 74 61 6e 74 3d 38  2e 33 31 20 4a 2f 6d 6f  |nstant=8.31 J/mo|
00000450  6c 4b 0a 54 3d 74 65 6d  70 65 72 61 74 75 72 65  |lK.T=temperature|
00000460  20 28 4b 29 0a 0a 0a 0a  0a 0a 0a 0a 0a 0a 0a 0a  | (K)............|
00000470  0a 0a 0a 0a 0a 0a 0a 0a  0a 0a 0a 0a 0a 0a 0a 0a  |................|
*
000004d0  0a 0a 0a 0a 0a 0a 0a 0a  0a 0a 0a 0a 0a           |.............|
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