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Assignment
Solution starts here: -
    
    Size Range
(µm)
    Mean Size
    No. of particles (n)
    % frequency
no. of particles
    nd4
    % frequency
Mass distribution
    S. No.
    
    d
    Log d
    
    %age
    %age
Cumulative
    
    %age
    %age Cumulative
    1
    0.1-0.2
    0.15
    -0.82
    50
    1
    1
    0.025
    8*10-6
    8*10-6
    2
    0.2-0.4
    0.3
    -0.52
    460
    9.12
    10.12
    3.75
    1.2*10-3
    1.208*10-3
    3
    0.4-0.7
    0.55
    -0.25
    1055
    20.92
    31.04
    96.53
    0.03
    .03
    4
    0.7-1.0
    0.85
    -0.07
    980
    19.42
    50.46
    511.56
    0.16
    0.19
    5
    1.0-2.0
    1.5
    0.17
    1705
    33.8
    84.26
    8631.50
    2.77
    2.96
    6
    2.0-4.0
    3
    0.47
    680
    13.48
    97.74
    55080
    17.70
    20.66
    7
    4.0-7.0
    5.5
    0.74
    102
    2.02
    99.76
    93336.3
    30
    50.66
    8
    7.0-10
    8.5
    0.92
    10
    0.2
    99.96
    52200.6
    16.78
    67.44
    9
    10-20
    15
    1.17
    2
    0.04
    100
    101250
    32.55
    100
    
    
    
    
    5044
    100%
    
    311110.3
    100%
    
Stepwise solution of the assignment
a) All the curve have been solved as per asked in the hint statement.
) No particular assumptions been made for this solution.
c) Log based number and mass distribution curve:-
    
    % frequency
Number of particles
    % frequency
Mass distribution
    Log d
    %age
    %age
    -0.82
    1
    8*10-6
    -0.52
    9.12
    1.2*10-3
    -0.25
    20.92
    0.03
    -0.07
    19.42
    0.16
    0.17
    33.8
    2.77
    0.47
    13.48
    17.70
    0.74
    2.02
    30
    0.92
    0.2
    16.78
    1.17
    0.04
    32.55
    
    100%
    100%
d) Yes, here the aerosol distributed lognormally here.
Cumulative Distribution of number and mass: -
    
    % frequency
Number of particles
    % frequency
Mass distribution
    Log d
    %age...