Journal of the Society of Motion Picture and Television Engineers (1950-1954)

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(A) GAL. FT. (C) GRAMS — — LITER — (T+ ( A-B) f ) GAL. (Bc+ B0) GAL Equation I : Volume Change log C0 — log C (General) A '' ~T~ T Equation II: (A = 0) B Volume Change I log T — log (T — Volume Change) 4 Equation III : (A = B) s, -A/ Fig. 1. Concentration of a constituent after passage of leader. A and B should be determined for several speeds. Determination of Reaction Rates (Chemicals Consumed) Chemical reactions between constituents of the film and solutions also change concentrations. Elon, sodium thiosulfate and potassium ferricyanide may be cited as some of the chemicals which are consumed in chemical reaction with constituents of the film. Although such chemicals react in complex ways, the quantity of each constituent which a foot of film removes tends to assume an average value. Since the rate of removal of a constituent by chemical action can be considered constant, a symbol (D) serves to indicate the amount of a chemical consumed by a unit quantity of film. When the rate of loss caused by chemical action is added to that caused by carry-over, an expression is obtained which describes the rate of loss resulting from the combined effects : -WB dW W -D (13) T + (A B)f This equation may be solved as follows: ^4.. _* df T + (A B)f (A W = -D (14) (15) (16) (17) Goldwasser: Mathematical Replenishment Techniques 15