Calculation of Apparent Specific Gravity & Bulk Specific Gravity

Problem 1: For a coarse aggregate sample air dry weight of sample is 1790 gm, weight when it is immersed in water is 1180 gm and SSD weight is 1850 gm.
Calculate bulk specific gravity and apparent specific gravity and % of absorption?
Exam Name: Easteni Refinery Ltd.

Solution:
Apparent specific gravity,
             = (M_D / V_B)/w

Here,      V_B = (1850 - 1180) /1
                     = 670 cm³
          M_D = 1790 gm
                 w = 1gm/ cm³ 
∴Apparent specific gravity G_A= (1790/ 670)/ 1
                                            = 2.67

Bulk Specific Gravity,
                  G_B= (M_D / V_B)/w

Here,      V_B = 670 + (1850 - 1790)
                     = (670 + 60) cm³
                     = 730 cm³                         
              M_D = 1790 gm
                 w = 1gm/ cm³

∴Bulk Specific Gravity,
                   G_B= (1790/730)/ 1
                        = 2.45
 Percentage of absorption =  {(1850-1790)/1790}*100
                                         = 3.35 %

Answer:   Apparent specific gravity 2.67, Bulk Specific Gravity 2.45, Percentage of absorption 3.35%

---

Problem 2: Dry weight of sample is 1206 gm, SSD weight is 1226.4 gm. The volume of water exerted by the sample is 440.6 cm3. Find bulk specific weight and apparent specific weight. Also find the absorption capacity of sample?
Exam Name: BEPZA 2016
Solution:
Apparent specific gravity,
             = (M_D / V_B)/w

Here,     V_B = 440.6 cm³
             M_D = 1206 gm
                 w = 1gm/ cm³ 
∴Apparent specific gravity,  G_A= (1206/ 440.6)/ 1
                                                   = 2.74

Bulk Specific Gravity,
                  G_B= (M_D / V_B)/w

Here,      V_B = 440 + (1226.4 - 1206)
                     = 460.4 cm³         
              M_D = 1206 gm
                 w = 1gm/ cm³

∴Bulk Specific Gravity,
                   G_B=( ¹²⁰⁶/730)/ 1
                        = 2.62
 Percentage of absorption =  {(1226.4 -1206)/1206}*100
                                          = 1.69 %

Answer:   Apparent specific gravity 2.74, Bulk Specific Gravity 2.62, Percentage of absorption 1.69%

---