Estimate the time needed for a glycine molecule (see Table 13–4) to diffuse a distance

Chapter 13, Problem 71P

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QUESTION:

Problem 71P

Estimate the time needed for a glycine molecule (see Table 13–4) to diffuse a distance of 15 μm in water at 20°C if its concentration varies over that distance from 1.00 mol/m3 to 0.40 mol/m3. Compare this “speed” to its rms (thermal) speed. The molecular mass of glycine is about 75 u.

Table 13–4

Diffusion Constants, D (20ºC, 1 atm)

Diffusing Molecules

Medium

D(m2/s)

H2

Air

6.3 × 10–5

O2

Air

1.8 × 10–5

O2

Water

100 × 10–11

Blood hemoglobin

Water

100 × 10–11

Glycine (an amino acid)

Water

95 × 10–11

DNA (mass 6 × 106 u)

Water

0.13 × 10–11

Questions & Answers

QUESTION:

Problem 71P

Estimate the time needed for a glycine molecule (see Table 13–4) to diffuse a distance of 15 μm in water at 20°C if its concentration varies over that distance from 1.00 mol/m3 to 0.40 mol/m3. Compare this “speed” to its rms (thermal) speed. The molecular mass of glycine is about 75 u.

Table 13–4

Diffusion Constants, D (20ºC, 1 atm)

Diffusing Molecules

Medium

D(m2/s)

H2

Air

6.3 × 10–5

O2

Air

1.8 × 10–5

O2

Water

100 × 10–11

Blood hemoglobin

Water

100 × 10–11

Glycine (an amino acid)

Water

95 × 10–11

DNA (mass 6 × 106 u)

Water

0.13 × 10–11

ANSWER:

Soluition 71P

Step 1 of 3

We are required to calculate the diffusion time for a glycerine molecule.

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