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(A) GAL.
FT. (-D) GRAMS
FT.
(R) Mk. MIN.
4 C0) GRAMS ____" L|TER
_-JT)_-GAL. -_-_-_-_
(Bc + BQ) GAL
FT.
(D) GRAMS FT.
Equation X: (Bc + B.}C9V + D-V Equation XI: R > (Bc A)V
__ (AV + R)Co + D-V Equation XII: C0 VA + D-V
R C. Co
AVCo + D-V Equation XIII: -D-V
Cr = r C, R > — AV
R Co
Fig. 4. Equations for calculating replenisher formulas and rates.
mined in developer solutions by the build-up of potassium^bromide; in hypo solutions by the formation of silver thiosulfate; and in bleach solutions by the increased ferrocyanide content. Figure 4 summarizes the replenisher equations.
Intermittent Replenishment
Some solutions may be replenished by adding the chemicals periodically in bulk quantities, rather than by supplying them continuously, in infinitesimal amounts. An intermittent replenishment procedure may be employed where wide concentration ranges can be tolerated and where the constituents will dissolve readily. If W0 is the initial quantity of constituent in the tank, and W is the amount of chemical in the tank after / ft of film has passed, then the following equation expresses the amount of constituent (Wr) which must be supplied by the replenisher at each interval:
Wr = W0 W
(45)
Equations (17), (24) and (30) show that W can be evaluated, for each of the three
types of tanks, in terms of footage, tank volume, carry-over rates and reaction rates. Consequently the quantity Wr can also be expressed in terms of these measurable quantities. When this substitution is made, it is found that, for the general type of tank, the replenisher should contain the following amount of each nonreactive constituent:
(46)
Where a constituent is consumed by chemical action, the replenisher must also contain the additional quantity:
^ T + (A-B)f
TA-1
(47)
In tanks where no carry-in occurs, the replenisher should contain the following amount of each chemical:
Wr
(48)
20
January 1954 Journal of the SMPTE Vol.62