Chapter 10: Gases and the Kinetic Theory

Ex10.1:pg-288

In [1]:
   import math   #Example 10_1
  
  #To find out the pressure in Lungs
h=6     #units in cm Hg
Pa=76      #Units in cm Hg
Pl=(h+Pa)        #units in cm Hg

Pl=Pl*10**-2     #units in Meters Hg
g=9.8      #Units in Meters/cm**2
H=13600     #Constant   
Pl=Pl*H*g     #Units in Pa
print "The pressure in the lungs is Pl=",round(Pl,1)," Pa"

The pressure in the lungs is Pl= 109289.6  Pa

Ex10.2:pg-288

In [2]:
  import math   #Example 10_2
 
  
  #To find the mass of copper atom
maa=63.5      #Units in Kgs
n=6.022*10**26      #Units in number of atoms
Mass=maa/n       #units in Kg/atom
print "The Mass per atom is=",round(Mass,28),"Kg/Atom"

The Mass per atom is= 1.054e-25 Kg/Atom

Ex10.3:pg-289

In [3]:
  import math   #Example 10_3
 
  
  #To find te volume associted with mercury atom in liquid mercury
M=201.0     #Units in Kg/Kmol
n=6.02*10**26     #units in K mol**-2
mo=M/n      #units in Kg
n1=13600.0      #units in Kg/Meter**3
noatoms=n1/mo      #units in atoms/Meter**3
volume_atom=1/noatoms       #units in Meter**3/Atom
print "The volume associated is ",round(volume_atom,31),"Meter**3/Atom"

The volume associated is  2.46e-29 Meter**3/Atom

Ex10.4:pg-289

In [4]:
  import math   #Example 10_4
 
  
  #To find the volume that one kilomole of an ideal gas occupies
p=1.013*10**5     #units in Pa
t=273.15      #units in K
n=1    #units in K mol
R=8314      #units in J/Kmol K
v=(n*R*t)/p      #units in Meter**3/Kmol
print "Volume occupied is V=",round(v,1)," Meter**3/Kmol"

Volume occupied is V= 22.4  Meter**3/Kmol

Ex10.5:pg-290

In [5]:
  import math   #Example 10_5
 
  
  #To find the gas pressure in the container
v=5*10**-3     #units in meter**3
t=300.0      #units in K
m1=14*10**-6   #Units in Kg
M=28    #Units in Kg/Kmol  
n=m1/M    #units in K mol
R=8314      #units in J/Kmol K
p=(n*R*t)/v      #units in Meter**3/Kmol
print "The pressure in the container is P=",round(p)," Pa"

The pressure in the container is P= 249.0  Pa

Ex10.6:pg-291

In [6]:
  import math   #Example 10_6
 
  
  #To determine the mass of the air in flask
p=1.013*10**5     #Units in Pa
v=50*10**-6     #Units in meter**3
M=28.0      #Units in Kg/Mol
R=8314.0      #units in J/Kmol K
T=293      #units in K
m=(p*v*M)/(R*T)      #Units in Kg
print "The mass of air in flask is=",round(m,7),"Kg"

The mass of air in flask is= 5.82e-05 Kg

Ex10.7:pg-292

In [7]:
  import math   #Example 10_7
 
  
  #To find out the final pressure in the drum
p1=1      #Units in atm
t2=333.0      #units in K
t1=293.0      #units in K
p2=p1*(t2/t1)     #units in atm
print "The final pressure in the drum is P2=",round(p2,2)," atm"

The final pressure in the drum is P2= 1.14  atm

Ex10.8:pg-292

In [8]:
  import math   #Example 10_8
 
  
  #To find the final volume of gas

t1=27.0     #Units in Centigrade
t1=t1+273      #Units in Kelvin
t2=547.0     #Units in Centigrade
t2=t2+273      #Units in Kelvin
t1=27.0     #Units in Centigrade
t1=t1+273      #Units in Kelvin
t1=27.0     #Units in Centigrade
t1=t1+273      #Units in Kelvin
p2=3700.0      #units in cm Hg
p1=74.0       #units in cm Hg
v1_v2=1/((t1/t2)*(p2/p1))       #In terms of V1
print "The final volume of gas in terms of original volume is V2=",round(v1_v2,5),"*V1"

The final volume of gas in terms of original volume is V2= 0.05467 *V1

Ex10.9:pg-293

In [9]:
  import math   #Example 10_9
 
  
  #To find the pressure after the car has been driven at high speed
t2=308      #Units in K
t1=273.0      #Units in K
p2_p1=(t2)/t1       #In terms of P1
P1=190.0           #Units in K Pa  
P2=101              #Units in K Pa  
P2=p2_p1*(P1+P2)      #Units in K Pa 
print "The Final pressure is P2=",round(P2)," K Pa" 
  #In text book the answer is printed wrong as P2=329 K Pa but the correct answer is 328 K Pa 

The Final pressure is P2= 328.0  K Pa

Ex10.10:pg-294

In [10]:
  import math   #Example 10_10


  
  #To findout how fast the nitrogen molecule moving in air
M=28.0       #Units in Kg/Mol
Na=6.02*10**26      #Units in K mol**-1
mo=M/Na     #Units in Kg
k=1.38*10**-23      #units in J/K
T=27+273.0      #Units in K
v2=(3*k*T)/mo      #unit in Meter**2/Sec**2
v=math.sqrt(v2)       #Units in meter/sec
print "The nitrogen molecule goes at a speed of V=",round(v)," meter/sec"
  #In text book the answer is printed wrong as v=517 m/sec the correct answer is v=516 meter/ sec

The nitrogen molecule goes at a speed of V= 517.0  meter/sec