Answer:
weight of barite = 398.4355 kg
Explanation:
Solution:- The values given in the question are as follows:
water requirement for H class cement = 38% by weight of cement
water requirement for barite = 2.4 gal / 100 lbm
H class cement slurry = 15.7 lbm/gal
one sack of cement = 50 kg or 110.231 lbm
one sack of cement require water = (38/100)*110.231
one sack of cement require water = 41.8877 gal
water required 100 lbm barite = 2.4 gal
or water required barite = 2.4% by weight of barite
H class cement slurry = (weight of cement + weight of barite)/total weight of water
15.7 =(110.231 + weight of barite)/(water required one sack of cement + 2.4%*weight of barite)
15.7 = 110.231 + (weight of barite)/(41.887 + 0.024*weight of barite)
15.7*41.8877 + 15.7*0.024*weight of barite = 110.231 + weight of barite
657.6368 + 0.3768*weight of barite = 110.231 + weight of barite
547.4058 =0.6232*weight of barite
weight of barite = 878.379 lbm or 878.4 lbm
weight of barite = 398.4355 kg