Quiz 3 Flashcards
True or false: a solute can diffuse when placed in a liquid solvent, but a solute cannot diffuse when it is in a solid solvent.
False
What is the key difference between bulk flow of a material and diffusion flow of a material?
the cause of matter flow
the medium through which matter flows
there is no difference, both involve flow of matter
the rate of matter flow
the cause of matter flow
What causes flow of matter by diffusion?
concentration difference
concentration gradient
electrical potential difference
none of the choices listed
mechanical pressure difference
concentration gradient
From a thermodynamic perspective, diffusion is driven by (fill in the blank)
none of the choices listed
Hume-Rothery gradient
Gibb’s free energy gradient
concentration difference
Hall-Petch gradient
concentration gradient
Gibb’s free energy gradient
The Gibbs free energy gradient is the primary driver of diffusion, but what is meant by the Gibbs free energy gradient?
maximum mechanical work that can be performed
maximum reversible work that can be done by a system at constant T and P
maximum non-reversible work that can be done by a system at constant T and P
average available mechanical work that can be performed
available mechanical work that can be performed
maximum reversible work that can be done by a system at constant T and P
The change in Gibbs free energy is equal to the:
work done by the system to its surroundings minus the work of the pressure forces
work done on the system by the surroundings plus the work of the pressure forces
work done on the system by the surroundings minus the work of the pressure forces
total energy of the system
work done by the system to its surroundings minus the work of the pressure forces
Materials engineers consider Gibbs free energy to predict the direction of a reaction if two conditions are specified. These conditions are:
diffusivity
pressure
concentration
charge
temperature
stress
strain
pressure and temperature
If the Gibbs free energy of a process is determined to be positive, then the reaction will (fill in the blank)
occur after energy is removed from the system
occur spontaneously
occur after the system is removed
occur after material is removed from the system
not occur spontaneously
not occur spontaneously
Materials engineers understand that much of what they do is based on numerous fundamental scientific processes. Many of these fundamental processes are quantitatively described by an Arrhenius relationship. Which of the equations listed below best describe the Arrhenius relationship?
Y = Ax + B
Y = 1/2 (mv^2)
Y = mc^2
Y = mgh
Y = A exp (-B/KT)
Y = A log (B/KT)
Y = Ax^2 + Bx + C
Y = A exp (-B/KT)
IF a materials engineer needs to quantify a given process described by an Arrhenius equation of the form Y = C exp (-B/RT), an efficient means of conducting such experimentation involves performing how many experimental tests to get the first preliminary estimate for B?
50
2
10
6
20
12
2
THe materials engineer who seeks to quantify a given process described by an Arrhenius equation of the form Y = C exp (-B/RT) and performs just 2 experiments can get information about the values of the constants C and B in this equation by (fill in the blank)
performing a t-test since there are only 2 samples involved
using artificial intelligence analyses
another method not listed
curve fitting and plotting the results
taking logs and plotting the results
using linear regression analysis to plot a straight line
taking logs and plotting the results
THe materials engineer quantifies a given process described by the expression Y = C exp (-B/RT) and performs just 2 experiments and then plots the natural logs of the resulting data may obtain which of the following parameters:
the universal gas constant R
the rate of the reaction
the value of C
the diffusion of solute at the given time
the activation energy of the system abbreviated in your text as Q (here B)
the number of moles reacting in the system
the value of C
the activation energy of the system abbreviated in your text as Q (here B)
The Maxwell-Boltzmann Distribution specifies the (fill in the blank) of finding a molecule at an energy delta-E greater than the average energy of particles at a particular (fill in the blank).
probability, temperature
probability, concentration
range, temperature
ability, temperature
range, concentration
ability, concentration
probability, temperature
True or False: The form of the Maxwell-Boltzmann Distribution follows an Arrhenius type relationship.
True
The Maxwell-Boltzmann Distribution shows the probability of finding a molecule at an energy delta-E greater than the average energy of particles at a particular temperature T. What fundamentally occurs as T increases according to this relationship?
a larger number of particles are available to overcome a given energy barrier q
a greater amount of diffusion occurs
a smaller number of particles are present
a larger number of particles rearrange their crystal structure
a larger concentration of particles exist
a larger number of particles are available to overcome a given energy barrier q
When a process can be described by an Arrhenius relationship, if you know the activation energy, then you can find the (fill in the blank)
available Gibbs free energy
species reacting
process
concentration
temperature
process
What conclusion would you draw if you know that multiple processes are occurring simultaneously, each with its own activation energy, but one of these activation energies is representative of the observed experimental data.
a single process is dominant
the experiment should be repeated
there’s really only one process occurring
the experimental data should be analyzed by a statistician
the experimental measurements are imprecise
a single process is dominant
Which of the following causes point defects in crystals?
chemical concentration differences
stress-induced vibration
mechanical vibration
strain-induced vibration
thermal vibration
thermal vibration
When your lab assistant tells you the temperature of a given material is T, what does this mean?
the upper limit of temperature of molecules in the material have temperature T, others have lower temperature
all molecules in the material have the same temperature
the lower limit of temperature of molecules in the material have temperature T, others have greater temperature
the average temperature of the molecules in the material have temperature T
the temperature of the molecules in the material is given by the root mean square value of T as obtained from a log-log plot
the average temperature of the molecules in the material have temperature T
What do these two curves (one at T1; the other at T2) show?
Maxwell-Boltzmann distribution
standard normal distribution
bell curve distribution
Hume-Rothery distribution
normal distribution
Komolgorov-Smirnov distribution
Maxwell-Boltzmann distribution
Which of the factors listed is most closely associated with increasing the probability of generating point defects in a crystal material?
increasing coordination number
increasing pressure
increasing temperature
increasing number of valence electrons
increasing atomic number
increasing temperature
Compared to liquids, the activation energy required for diffusion in solids is:
cannot discern without additional information
less
greater
equal
greater
Point defects in crystals are important for diffusion because they enable the mechanism of (fill in the blank):
lattice movement
larger defects
vagrancy mitigation
more defects
vacancy migration
vacancy migration
Vacancy migration is an important mechanism by which diffusion can occur because these vacancies (fill in the blank)
facilitate diffusion
modify the activation energy
reduce the activation energy for diffusion
activate the crystal structure
reduce the activation energy for diffusion
What is the basis for development of the equations of diffusion?
law of conservation of energy
law of conservation of mass
Law of conservation of momentum
Newton’s laws of molecular motion
law of conservation of mass
The Law of Conservation of Mass is central to the development of diffusion relationships. This law states that the total mass of the products must always equal the (fill in the blank)
total mass of the reactants
total mass plus energy input of the reactants
total mass of the system
total mass of the endpoints
total mass of the reactants
What is this equation (fill in the blank) and why is it important?
[upside down triangle]*J = -(delta rho sub v)/(delta t)
continuity equation: basis for diffusion equations
Ficks 1st law; basis for diffusion equations
continuity equation; fundamental law of physics
Conservation of Mass equation: basis for diffusion equations
Fick’s second law; culmination of Fick’s work on diffusion
continuity equation: basis for diffusion equations
What are the units of flux of matter?
molecules per area
molecules per cm^3 per second
moles per second
atoms per volume per second
molecules per second
moles per cm^2 per second
moles per area
moles per cm^2 per second
Differentiating Fick’s 1st law with respect to distance, and then substituting the result into the continuity equation produces:
random walk equation
Fick’s second law
matter flow equation
Arrhenius equation
Newton’s third law
Fick’s third law
Fick’s second law
Fick’s second law can be obtained two ways: one way is to differentiate Fick’s first law by distance, then substitute into the continuity equation. A second, totally independent method, is to use the (fill in the blank) approach to quantify the motion of an atom along one dimension.
binomial
statistical
normal distribution
random walk
Stirling
random walk
The “random walk” nature of atomic species migration in a crystal can be understood using a (fill in the blank) mechanism
slip plane
valence electron
interstitial
random motion
interstitial