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BAKER HUGHES - Drilling Fluids Reference Manual

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Baker Hughes <strong>Drilling</strong> <strong>Fluids</strong><br />

For a compound, the equivalent weight equals:<br />

MolecularWt.<br />

equiv . wt.<br />

=<br />

TotalValency of " cations"<br />

Common equivalent weights are listed in Table 3-8.<br />

It can now be seen that a one normal solution contains the equivalent weight of the solute in<br />

grams dissolved in one liter of solution.<br />

For compounds of valency one, a 1M solution is identical to a 1N solution. If the valency is two,<br />

then a 1M solution is twice the strength of a 1N solution.<br />

Sulfuric acid (H 2 SO 4 ) has a molecular weight of 98 (a 1 M solution is 98 g/l) and “valency” 2.<br />

Thus its equivalent weight is 49 (a 1 N solution is 49 g/l). Thus, 1M H 2 SO 4 is 98 g/l. This<br />

compares with hydrochloric acid, HCl, where a 1M and 1N solution both contain 36.5 g/l.<br />

Calculation of Reacting Weights<br />

There are two methods:<br />

1. Write down the chemical formulas of the reactants and products and balance the equation<br />

which describes the reaction, bearing in mind the valences of the ions involved. This<br />

gives the ratios in which the molecules combine. Multiplying by the molecular weights<br />

thus gives the ratios of weights, which combine.<br />

An example calculation is given below.<br />

Calculate the weight of sodium carbonate needed to completely remove calcium from 100m 3 of a<br />

drilling fluid containing 1000 mg/l Ca + .<br />

The reaction of sodium carbonate with calcium is:<br />

Na 2 CO 3 + Ca 2+ → CaCO 3 + 2Na +<br />

from this equation, we know that 1 mole Na 2 CO 3 reacts with 1 mole of Ca 2+<br />

Na 2 CO 3 molecular weight = 106 (Table 3-8)<br />

Ca 2+ molecular weight = 40.1 (Table 3-8)<br />

Thus, 106 g Na 2 CO 3 always reacts with 40.1 g of calcium. 100m 3 of drilling fluid, with Ca 2+ at<br />

1000 mg/l, contains 1000 x 100 mg Ca 2+ , or 100 kg Ca 2+<br />

Units conversion<br />

1000 mg/L x 1000L/m 3 x 1 Kg/1,000,000 mg x 100 m 3 = 100 Kg<br />

Therefore, weight of sodium carbonate needed is:<br />

(106 / 40.1) x 100 kg = 264 kg<br />

3. This method involves the use of equivalent weights. The equivalent weights of<br />

elements always combine on a 1:1 basis, since the “balancing of the equation” has<br />

already been taken into account when dividing molecular weight by valency to<br />

obtain the equivalent weight.<br />

Referring to the previous example, sodium carbonate has equivalent weight 53, while calcium has<br />

equivalent weight 20.05. Therefore, when these combine, they will do so in the ration 53g<br />

sodium carbonate to 20.05g calcium. It is not necessary to know the formula of the reactants, nor<br />

of the products (or even what reaction occurs).<br />

Baker Hughes <strong>Drilling</strong> <strong>Fluids</strong><br />

<strong>Reference</strong> <strong>Manual</strong><br />

Revised 2006 3-25

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