Che 509 Q1 Key 313z2w

Mesh No.

DP, mm

Feed, %

4

4.76

14.3

20

8

2.38

20

28

14

1.19

20

0

28

28

0.595

28.5

40

24

48

0.297

8.6

30

100

0.149

5.7

20

2.86

10

Pan

Undersize, %

Oversize, %

Mass Fraction Mesh No. 4 8 14 28 48 100 Pan

Dp, mm 4.76 2.38 1.19 0.595 0.297 0.149 0

Feed Undersize 0.143 0 0.2 0 0.2 0 0.285 0.4 0.086 0.3 0.057 0.2 0.0286 0.1

Oversize 0.2 0.28 0.28 0.24 0 0 0

+14 ���������=��������� ���

Using 14-mesh screen to remove coarse particles:

- 14 ���������=������� ������ �_�=0.285+0.086+0.057+0.0286=0.4566 �_�=0.40 + 0.30 + 0.20 + 0.10 = 1.00 �_�=0.24

One ton per hour of dolomite is produced:

OMB: Desired MB:

P = 1 ton/hr

�=1+� (0.4566)�=(1.00)(1 ���/ℎ�)+(0.24)�

Solving 2 eqns, 2 unknowns:

F = 3.5088 ton/hr R = 2.5088 ton /hr

�������������=(1)(1.00)/((3.5088)(0.4566)) � (2.5088)(1−0.24)/((3.5088)(1−0.4566))= �.����

�_�=6/((1−0.10)(0.90)(865 ��/�^3 )((1 �^3)/( 〖 1000 〗 ^3 ��^3 ))((1000 �)/(1 ��)) ) � (2.0177 ��^

�_�=[1/(21.9792 ��^(−3) )]^(1/3)=�.��� ��

(d)

Dp mean, mm 0 3.57 1.785 0.8925 0.446 0.223 Total

xi/Dp mean (product) Dp mean^3 0 45.4993 5.6874 0.4482 0.7109 0.6726 0.0887 0.8969 0.0111 2.0177

xi/Dp mean^3

0.5626 3.3816 18.0350 21.9792

4 ���������=��������� ��������

4 ���������=������� ��������

(a)

0.4566))=�.����

(b)

��)) ) � (2.0177 ��^(−1) )= ��,���.�� (��^� )/�

(c)

+8 -8+14

−14

Screen 3/4 4/6 6/8 8/10 10/14 14/20 20/28 28/35 35/48 Total

Feed 3.5 15 27.5 23.5 16 9.1 3.4 1.3 0.7 100

Coarse Fraction 14 50 24 8 4

Middle Fraction

100

100

Let Subscripts:

4.2 35.8 30.8 18.3 10.2 0.7

1 = +8 2 = -8+14 3 = -14

Fine Fraction

20 26.7 20.2 19.6 8.9 4.6 100

xf1 = 0.46 xf2 = 0.395 Xf3 = 0.145

Basis: 100 kg of Feed Material Balances:

100=�+�+� 100(0.46)=0.88 �+0.40 �+0 100(0.395)=0.12 �+0.491 �+0.467 �

𝑭𝑭𝑭𝑭, 𝑭 = 100 kg

�_1=(100)(0.46)=46 �� �_2=39.5 �� 8−���ℎ

�_3=14.5 ��

𝑭𝑭𝑭𝑭𝑭𝑭𝑭𝑭𝑭𝑭𝑭𝑭, 𝑭 = Feed - Coarse = 7 �_1=46 −21.92=24.08 �� �_2=36.51 �� 14−���ℎ

�_3=14.5 ��

𝑭𝑭𝑭𝑭, � =��.�� �� �_1=(14.89)(0)=0 �� �_2=6.95 �� �_3=7.94 ��

����, �

������, �

8−���ℎ

������������, �

14−���ℎ ������, �

xc1 = 0.88 xc2 = 0.12 xc3 = 0

+0.40 �+0

+0.491 �+0.467 �

xm1 = 0.40 xs1 = 0 xm2 = 0.491 xs2 = 0.467 xm3 = 0.109 xs3 = 0.533

C = 24.91 kg M = 60.19 kg S = 14.89 kg

����, �

C/F = 0.2491 (a) M/F = 0.6019 S/F = 0.1489

=(100)(0.46)=46 �� 𝑭𝑭𝑭𝑭𝑭𝑭, � =��.�� �� �_1=(24.91)(0.88)=21.92 �� �_2=2.99 �� �_3=0 ��

𝑭 = Feed - Coarse = 75.09 kg =46 −21.92=24.08 ��

=��.�� ��

𝑭𝑭𝑭𝑭𝑭𝑭, � =��.�� �� �_1=(60.19)(0.40)=24.08 �� �_2=29.55 �� �_3=6.56 ��

4.89)(0)=0 ��

Effectiveness of the 8-mesh screen based on:

�_8=21.92/46 � 36.51/39.5=�.����

       Oversize (+8) as the desired material

(b)

       Undersize (-8+14) as the undesired material  Effectiveness

of the 14-mesh screen based on: �_14=29.55/36.51 � 7.94/14.5=�.����        Oversize (-8+14) as the desired material        Undersize (-14) as the undesired material

(c)