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!Ignotum/Formulae/Gase

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# Physics > Gases
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 70 31 56 31 2f 54  31 3d 70 32 56 32 2f 54  |s.p1V1/T1=p2V2/T|
00000020  32 0a 46 6f 72 20 61 6e  79 20 69 64 65 61 6c 20  |2.For any ideal |
00000030  67 61 73 20 77 68 65 72  65 3a 0a 70 31 20 61 6e  |gas where:.p1 an|
00000040  64 20 70 32 20 61 72 65  20 74 77 6f 20 64 69 66  |d p2 are two dif|
00000050  66 65 72 65 6e 74 20 70  72 65 73 73 75 72 65 73  |ferent pressures|
00000060  0a 56 31 20 61 6e 64 20  56 32 20 61 72 65 20 74  |.V1 and V2 are t|
00000070  77 6f 20 64 69 66 66 65  72 65 6e 74 20 76 6f 6c  |wo different vol|
00000080  75 6d 65 73 0a 54 31 20  61 6e 64 20 54 32 20 61  |umes.T1 and T2 a|
00000090  72 65 20 74 77 6f 20 64  69 66 66 65 72 65 6e 74  |re two different|
000000a0  20 74 65 6d 70 65 72 61  74 75 72 65 73 0a 28 69  | temperatures.(i|
000000b0  6e 20 4b 65 6c 76 69 6e  29 0a 70 56 3d 6e 52 54  |n Kelvin).pV=nRT|
000000c0  0a 43 61 6c 6c 65 64 20  74 68 65 20 69 64 65 61  |.Called the idea|
000000d0  6c 20 67 61 73 20 65 71  75 61 74 69 6f 6e 2c 20  |l gas equation, |
000000e0  77 68 65 72 65 3a 0a 70  3d 70 72 65 73 73 75 72  |where:.p=pressur|
000000f0  65 2c 20 56 3d 76 6f 6c  75 6d 65 0a 6e 3d 6e 75  |e, V=volume.n=nu|
00000100  6d 62 65 72 20 6f 66 20  6d 6f 6c 65 73 20 28 31  |mber of moles (1|
00000110  20 6d 6f 6c 65 3d 36 d7  31 30 5e 32 33 20 61 74  | mole=6.10^23 at|
00000120  6f 6d 73 29 0a 52 3d 6d  6f 6c 61 72 20 67 61 73  |oms).R=molar gas|
00000130  20 63 6f 6e 73 74 61 6e  74 3d 38 2e 33 31 20 4a  | constant=8.31 J|
00000140  2f 6d 6f 6c 4b 0a 54 3d  74 65 6d 70 65 72 61 74  |/molK.T=temperat|
00000150  75 72 65 20 28 4b 29 0a  70 56 3d 4e 6d 7b 63 b2  |ure (K).pV=Nm{c.|
00000160  7d 2f 33 0a 57 68 65 72  65 3a 0a 70 3d 70 72 65  |}/3.Where:.p=pre|
00000170  73 73 75 72 65 2c 20 56  3d 76 6f 6c 75 6d 65 0a  |ssure, V=volume.|
00000180  4e 3d 6e 75 6d 62 65 72  20 6d 6f 6c 65 63 75 6c  |N=number molecul|
00000190  65 73 2c 20 6d 3d 6d 61  73 73 20 6f 66 20 61 20  |es, m=mass of a |
000001a0  6d 6f 6c 65 63 75 6c 65  0a 7b 63 b2 7d 3d 6d 65  |molecule.{c.}=me|
000001b0  61 6e 20 73 71 75 61 72  65 20 73 70 65 65 64 20  |an square speed |
000001c0  6f 66 20 6d 6f 6c 65 63  75 6c 65 73 20 28 74 68  |of molecules (th|
000001d0  65 0a 61 76 65 72 61 67  65 20 6f 66 20 74 68 65  |e.average of the|
000001e0  20 73 71 75 61 72 65 20  6f 66 20 74 68 65 20 73  | square of the s|
000001f0  70 65 65 64 73 29 0a 70  3d 64 7b 63 b2 7d 2f 33  |peeds).p=d{c.}/3|
00000200  0a 57 68 65 72 65 3a 0a  70 3d 70 72 65 73 73 75  |.Where:.p=pressu|
00000210  72 65 0a 64 3d 64 65 6e  73 69 74 79 0a 7b 63 b2  |re.d=density.{c.|
00000220  7d 3d 6d 65 61 6e 20 73  71 75 61 72 65 20 73 70  |}=mean square sp|
00000230  65 65 64 20 6f 66 20 6d  6f 6c 65 63 75 6c 65 73  |eed of molecules|
00000240  20 28 74 68 65 0a 61 76  65 72 61 67 65 20 6f 66  | (the.average of|
00000250  20 74 68 65 20 73 71 75  61 72 65 20 6f 66 20 74  | the square of t|
00000260  68 65 20 73 70 65 65 64  73 29 0a 4b 45 3d 33 52  |he speeds).KE=3R|
00000270  54 2f 32 0a 57 68 65 72  65 3a 0a 4b 45 3d 6d 65  |T/2.Where:.KE=me|
00000280  61 6e 20 6b 69 6e 65 74  69 63 20 65 6e 65 72 67  |an kinetic energ|
00000290  79 20 6f 66 20 6f 6e 65  20 6d 6f 6c 65 20 6f 66  |y of one mole of|
000002a0  20 61 6e 0a 69 64 65 61  6c 20 67 61 73 0a 52 3d  | an.ideal gas.R=|
000002b0  6d 6f 6c 61 72 20 67 61  73 20 63 6f 6e 73 74 61  |molar gas consta|
000002c0  6e 74 3d 38 2e 33 31 20  4a 2f 6d 6f 6c 4b 0a 54  |nt=8.31 J/molK.T|
000002d0  3d 74 65 6d 70 65 72 61  74 75 72 65 20 28 4b 29  |=temperature (K)|
000002e0  0a 0a 0a 0a 0a 0a 0a 0a  0a 0a 0a 0a 0a 0a 0a 0a  |................|
*
00000350  0a 0a 0a 0a 0a 0a 0a 0a  0a                       |.........|
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