1. An isolated muscle with cylindrical shape is stimulated repeatedly until the

Question

1.       An isolated muscle with cylindrical shape is stimulated repeatedly until the concentration of lactate in the muscle reaches C0 = 1 mol/m3. At that point, stimulation ceases and the muscle is allowed to cool in lactate-free saline. Muscle radius = 0.5 cm, muscle length = 30 cm, mass transfer coefficient for lactate in saline kA = 2x10-7 m/s, lactate muscle-saline partition coefficient %u0444lactate,muscle,saline = 0.5, lactate diffusion coefficient = 2x10-8 m2/s.

(a) How many seconds will it take for the lactate concentration at the center of the muscle to drop to one-tenth the initial value?

(b) Find the initial rate of lactate loss from the muscle (in mol/s)

Explanation / Answer

First, calculate the rate constant using the data from any trial and plugging the values into the rate law. Next, use the rate law and substitute the calculated rate constant and given concentrations to find the initial rate of the reaction.

Calculate the rate constant k for the reaction at 25 degrees C .

Use your concentrations .50 M and .075 M with the rate exponents you have determined. Then, to get k, you have to use the values in the table they give you - use those concentrations and the rate they give you. Divide the rate they give you for a trial by the concentrations that correspond to that trial and the exponents to get the k.

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