1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
|
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Chapter11 KineticTheory"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 11.1, Page no.45"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"most probabale velocity= 150.02 cm secˆ−1\n",
"arthmetic mean velocity= 67.26 cm secˆ−1\n",
"root mean square velocity= 183.74 cm sec ˆ−1\n"
]
}
],
"source": [
"import math\n",
"from math import sqrt\n",
"from math import pi\n",
"#initialisation of variables\n",
"R=8.31*10 # ergs moleˆ−1 Kˆ−1 \n",
"M=2.016 #gms \n",
"T=0 #C \n",
"#CALCULATIONS \n",
"vp=sqrt(2*R*(273+T)/M)\n",
"v=sqrt(8*R*(273+T))/(pi*M)\n",
"vr=sqrt(3*R*(273+T)/M) \n",
"#RESULTS\n",
"vp=round(vp,2)\n",
"v=round(v,2)\n",
"vr=round(vr,2)\n",
"print 'most probabale velocity=',vp,'cm secˆ−1'\n",
"print 'arthmetic mean velocity=',v,'cm secˆ−1'\n",
"print 'root mean square velocity=',vr,'cm sec ˆ−1'"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 11.2, Page no.45"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"vapour pressure= 0.00000955 atm\n"
]
}
],
"source": [
"import math\n",
"from math import sqrt\n",
"from math import pi\n",
"#initialisation of variables\n",
"R=8.31*10**7 # ergs moleˆ−1 Kˆ−1\n",
"M=9.013 #mg\n",
"T=1457 #K\n",
"d=0.318 #cm\n",
"t=60.1 #min\n",
"m=9.54 #mg\n",
"g=980 # cmsecˆ−2 \n",
"D=13.6 #g/ cc \n",
"p=76 #cm atmˆ−1\n",
"#CALCULATIONS\n",
"P=sqrt(2*pi*R*T/M)*(m*10**-3/(pi*(d/2)**2*t*60*p*D* g))\n",
"#RESULTS\n",
"print 'vapour pressure=',format(P, '.8f'),'atm'"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 11.3, Page no.46"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"ratio of rates= 1.004\n"
]
}
],
"source": [
"import math\n",
"from math import sqrt\n",
"#initialisation of variables\n",
"M1=238.0 #gms\n",
"M2=235.0 #gms \n",
"A=6.0 \n",
"N=19.0 \n",
"#CALCULATIONS \n",
"r=sqrt((M1+A*N)/(M2+A*N)) \n",
"#RESULTS\n",
"r=round(r,3)\n",
"print 'ratio of rates=',r"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 11.4, Page no.46"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Z= 129.6 M moles of collisions litreˆ−1 secˆ−1\n",
"Z2= 0.00022667 moles of collisions litre ˆ−1 sec ˆ−1\n"
]
}
],
"source": [
"import math\n",
"from math import sqrt,pi\n",
"#initialisation of variables\n",
"s=3.61*10** -8 #cm \n",
"v=4.44*10**4 #cm/sec \n",
"n=2.46*10**19 # molecules \n",
"N=6.02*10**23 # molecules \n",
"Z1=13.6*10**16 # collisions cmˆ−3 secˆ−1 \n",
"N=6*10**23 # molecules\n",
"#CALCULATIONS\n",
"Z=sqrt(2)*pi*s**2*v*n**2*10**3/(2*N)\n",
"Z2= Z1*10**3/N\n",
"#RESULTS\n",
"Z=Z/(10**6)\n",
"Z=round(Z,1)\n",
"print 'Z=',Z,'M moles of collisions litreˆ−1 secˆ−1'\n",
"print 'Z2=',format(Z2, '.8f'),'moles of collisions litre ˆ−1 sec ˆ−1'"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Example 11.5, Page no.47"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"mean free path= 0.00000702 cm\n",
"mean free path= 5.33 cm\n",
"ANSWER GIVEN IN THE TEXTBOOK IS WRONG\n"
]
}
],
"source": [
"import math\n",
"#initialisation of variables\n",
"from math import sqrt\n",
"from math import pi\n",
"n=2.46*10**19 # molecules cmˆ−3 \n",
"n1=3.24*10**13 # molecules cmˆ−3 \n",
"l=3.61*10**-8 \n",
"#CALCULATIONS \n",
"L=(sqrt(2)*pi*l**2*n)**-1 \n",
"L1=(sqrt(2)*pi*l**2*n1)**-1 \n",
"#RESULTS\n",
"L1=round(L1,2)\n",
"print 'mean free path=',format(L, '.8f'),'cm'\n",
"print 'mean free path=',L1,'cm'\n",
"print 'ANSWER GIVEN IN THE TEXTBOOK IS WRONG'"
]
}
],
"metadata": {
"anaconda-cloud": {},
"kernelspec": {
"display_name": "Python [Root]",
"language": "python",
"name": "Python [Root]"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.11"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
|
