Question

Since the mass (m) of a sphere is proportional to the radius cubed, r 3 ,...

Since the mass (m) of a sphere is proportional to the radius cubed, r 3 , show that D is proportional to m(−1/3). If a spherical protein oligomerizes and is still approximated by a sphere, by what factor would its MW have to increase to result in a diffusion coefficient that decreases by 1/2?

0 0
Add a comment Improve this question Transcribed image text
Answer #1

Molecular weight of a spherical molecule is defined by following formula.

Where M = molecular weigh

r = radius of sphere

= density of sphere molecule

Diffusivity of sphere molecule is defined by following formula.

Where D = Diffusivity in cm2/sec.

Now simplifying formula of diffusivity to convert in terms of molecular weight

Now if D2=D1/2 what will be M2?

So if Diffusivity will be half molecular weight will increase 8 times of initial value.

Add a comment
Know the answer?
Add Answer to:
Since the mass (m) of a sphere is proportional to the radius cubed, r 3 ,...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • 2.00 m 30 Given: A solid sphere of mass m 0.60 kg and radius r 0.20...

    2.00 m 30 Given: A solid sphere of mass m 0.60 kg and radius r 0.20 m is released from rest at the top of the incline shown. For this system, the coefficient of dynamic (sliding) friction is Hdyn 0.3 and the coefficient of static friction is Hstatic -0.5 Find: (a) Assume that the sphere rolls without slipping down the incline. Under this assumption, what is the acceleration of the sphere parallel to the incline, and how long does it...

  • A mass, m, is distributed non-uniformly over sphere of radius R. The mass distribution is described...

    A mass, m, is distributed non-uniformly over sphere of radius R. The mass distribution is described by the expression p br. Write the expression, dm, that represents the infinitesimal mass of a spherical shell of radius r and infinitesimal thickness dr

  • 2. Assume the earth is a uniform sphere of mass M and radius R. (Its mass-density...

    2. Assume the earth is a uniform sphere of mass M and radius R. (Its mass-density ρ--M/V is therefore constant.) a) Find the force of gravity exerted on a point mass m located inside the earth, as a function of its distance from the earth's centre. (You may make use of results derived in class for a thin spherical shell.) b) Find the difference in the gravitational potential energy of the mass, between the centre of the earth and the...

  • 3. A ball, a solid sphere of radius r and mass m, is positioned at the top of a ramp that makes an angle of 0 with the horizontal. The initial position of the sphere is at a distance of d from its fi...

    3. A ball, a solid sphere of radius r and mass m, is positioned at the top of a ramp that makes an angle of 0 with the horizontal. The initial position of the sphere is at a distance of d from its final position at the bottom of the incline. a) Find the velocity of the ball at the bottom of the ramp in terms of m, r, d, 8, and g. The moment of inertia of a sphere...

  • The figure shows a spherical hollow inside a lead sphere of radius R = 4.7 m;...

    The figure shows a spherical hollow inside a lead sphere of radius R = 4.7 m; the surface of the hollow passes through the center of the sphere and touches the right side of the sphere. The mass of the sphere before hollowing was M = 268 kg. With what gravitational force does the hollowed-out lead sphere attract a small sphere of mass m = 40 kg that lies at a distance d = 11 m from the center of...

  • 1. A solid sphere of radius R, mass M. and mo- ment of Inertia I =...

    1. A solid sphere of radius R, mass M. and mo- ment of Inertia I = MR is rolling down a hill. It starts at rest at a height h. Find its speed at the bottom of the hill. Compare this to the speed an object of mass M would have after sliding down a frictionless hill also of height h.

  • AP Physics C FRQ 3. A sphere of mass m and radius r is released from...

    AP Physics C FRQ 3. A sphere of mass m and radius r is released from rest at the top of a curved track of height H. The sphere travels down the curved track and around a loop of radius R. The sphere rolls without slipping during the entire motion. Point A on the loop is at height R, and point B is at the top of the loop. The rotational inertia of the sphere is 2mr2/s. Express all of...

  • A solid copper sphere of mass M and radius R has a cavity of radius ½...

    A solid copper sphere of mass M and radius R has a cavity of radius ½ R. Inside the cavity a particle of mass m placed a distance d > R from the center of the sphere along the line connecting the centers of the sphere and the cavity. Find the gravitational force on m. р

  • A small solid porcelain sphere, with a mass m and radius r, is placed on the...

    A small solid porcelain sphere, with a mass m and radius r, is placed on the inclined section of the metal track shown below, such that its lowest point is at a height h above the bottom of the loop. The sphere is then released from rest, and it rolls on the track without slipping. In your analysis, use the approximation that the radius r of the sphere is much smaller than both the radius R of the loop and...

  • A uniform solid sphere with a mass M = 2.0 kg and a radius R =...

    A uniform solid sphere with a mass M = 2.0 kg and a radius R = 0.10 m is set into motion with an angular speed ωo = 70 rad/s. At t = 0 the sphere is dropped a short distance (without bouncing) onto a horizontal surface. There is friction between the sphere and the surface. Find (a) the angular speed of rotation when the sphere finally rolls without slipping at time t = T and (b) the amount of...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT