A typical cell is 2 nL in volume and ATP inside the cell is tightly controlled at a concentration of 10 mM. a.) By hand, calculate the number of ATP molecules in the cell b.) Assume the ATP molecules are spaced apart equally in a square grid (hint: convert liters to meters by taking a cube root), how far apart are available ATP molecules?  c.) Using a simple model of root mean squared displacement, how long would it take to diffuse this distance given DATP  = 3 x 10 -10 m2/s? (?rms = √2??)

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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A typical cell is 2 nL in volume and ATP inside the cell is tightly controlled at a
concentration of 10 mM.
a.) By hand, calculate the number of ATP molecules in the cell

b.) Assume the ATP molecules are spaced apart equally in a square grid (hint: convert liters
to meters by taking a cube root), how far apart are available ATP molecules? 

c.) Using a simple model of root mean squared displacement, how long would it take to
diffuse this distance given DATP  = 3 x 10 -10 m2/s? (?rms = √2??) 

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