Question

In: Chemistry

The diffusion coefficients for species A in metal B are given at two temperatures: T (°C)...

The diffusion coefficients for species A in metal B are given at two temperatures: T (°C) D (m2/s) 1040 6.22 × 10-17 1280 6.11× 10-16 (a) Determine the value of the activation energy Qd (in J/mol). Entry field with incorrect answer 1.04e5 J/mol (b) Determine the value of D0. Entry field with incorrect answer 3.71e-22 m2/s (Use scientific notation.) (c) What is the magnitude of D at 1160°C? Entry field with incorrect answer 3.69e-18 m2/s (Use scientific notation.)

Expert Solution

diffusion coefficient follow as

D= DoEXP(-Qd/RT)

T D VALUE(m2/s)

1040°C= 1040+273K= 1313K 6.22 × 10-17

1280°C= 1280+273K= 1553K 6.11× 10-16

R = 8.314 Jmol-1K-1

From above information ,

we get two equation,

6.22 × 10-17 = Do exp(-Qd/8.314* 1313) ------1

6.11× 10-16 = Do exp(-Qd/ 8.314* 1553)------ 2

dividing Eqn 2/1

6.11× 10-16/6.22 × 10-17 =Do exp(-Qd/8.314* 1313)/Do exp(-Qd/ 8.314* 1553)

0.982315 = exp(-Qd/10916.28)/ exp(-Qd/12911.64)

0.982315=exp( -Qd/10916.28+Qd/12911.64)

ln 0.982315= Qd(1/12911.64-1/10916.28)

-0.017843248 = Qd (0.00007744949-0.00009160629)

-0.017843248 = Qd(-0.0000141568)

so, Qd= -0.017843248/(-0.0000141568)

so, Qd = 1260.40122061 joule /mol

b) value of Do

6.22 × 10-17 = Do exp(-Qd/8.314* 1313)

6.22 × 10-17 = Do exp(-1260.40/10916.28)

6.22*10^-17= Do exp(-0.11546068996)

6.22*10^-17 = Do* 0.89095559504

so, Do = 6.22*10^-17 / 0.89095559504

so, Do= 6.981268* 10^-17

c) D at 1160°C= 1160+273K= 1433K

D= DoEXP(-Qd/RT)

= 6.981268* 10^-17 EXP(1260.40122061/8.314* 1433)

=6.981268* 10^-17 EXP (0.10579194566)

= 6.981268* 10^-17 * 1.1115905812

=7.76* 10^-17

queen_honey_blossom answered 1 year ago

The diffusion coefficients for carbon in nickel are given at two temperatures are as follows: At...

The diffusion coefficients for carbon in nickel are given at two temperatures are as follows: At T= 600°C, D=5.5 × 10–14 m2/s At T= 700°C, D=3.9 × 10–13 m2/s (a) Determine the values of D0 and Qd. (b) What is the magnitude of D at 850°C?

The diffusion coefficients for copper diffusing in gold are given at two temperatures (hint: logarithm): T(K)...

The diffusion coefficients for copper diffusing in gold are given at two temperatures (hint: logarithm): T(K) D(m2/s) 1273 9.4 x 10-16 1473 2.4 x 10-14 (a) Determine the values of D0 and the activation energy Qd? (b) What is the magnitude of D at 1100°C?

Consider an ecological niche with three species A, B and C. Their dynamics are given by...

Consider an ecological niche with three species A, B and C. Their dynamics are given by their population rates shown below dA/dt=A+B-C … (2a) dB/dt=-A+2B … (2b) dC/dt=C-A-B … (2c) Initially, the niche is in equilibrium with the population of C=30. Obtain the population densities of the rest of participants in the niche at its equilibrium. Starting from the point (A=8,B=4,C=10), obtain their individual populations over time t. What if the initial starting point is perturbed to (A=7,B=4,C=10)? Would the...

Compute diffusion coefficients for the interdiffusion of carbon in both (a) α-iron (BCC) and (b) γ-iron...

Compute diffusion coefficients for the interdiffusion of carbon in both (a) α-iron (BCC) and (b) γ-iron (FCC) at 875˚C. Assume that D0 for the interdiffusion of carbon in α-iron and in γ-iron are 1.1 × 10-6 and 2.3 × 10-5 m2/s, respectively, and that Qd are 80 and 148 kJ/mol, respectively. (a) m2/s (b) m2/s Calculate the value of D at 636°C for the diffusion of some species in a metal for which the values of D0 and Qd are...

An area (A) occupied by a species splits into two areas (B and C). One of...

An area (A) occupied by a species splits into two areas (B and C). One of these areas (B) then splits into two areas (D and E). The other of the areas (C) splits into two areas (F and G); area F then splits into two areas (H and I), and area G then splits into two areas (J and K). Draw a series of maps that describe vicariance through time, labeling each of the areas by letter. Then draw...

Linearize by hand y = a(x1)b(x2)c and determine the coefficients a, b and c, and the...

Linearize by hand y = a(x1)b(x2)c and determine the coefficients a, b and c, and the coefficient of determination using the data below. x1 x2 y 1 1 3.48 1 2 5.87 2 3 27.35 3 2 43.75 4 5 134.92 6 8 377.38

2. Energy requiring transport mechanisms include A. Primary active transport B. Diffusion C. Facilitated diffusion D....

2. Energy requiring transport mechanisms include A. Primary active transport B. Diffusion C. Facilitated diffusion D. Both A and B are correct E. Both A and C are correct 3. The fixation of nitrogen requires _______. A. Fe-Mo protein B. Fe protein C. Ferredoxin D. Both A and B are correct E. All of the above are correct 4. Membranes are rigid when they contain A. Large amounts of cholesterol B. Large amounts of unsaturated fatty acids C. Large amounts...

A thumbs up will be given: Table 1 t A B C D 0 (14,900,000)...

A thumbs up will be given: Table 1 t A B C D 0 (14,900,000) (17,900,000) (16,600,000) (19,700,000) 1 4,980,000 5,990,000 3,850,000 6,400,000 2 4,980,000 6,210,000 4,990,000 5,880,000 3 4,510,000 6,250,000 6,860,000 6,800,000 4 4,510,000 4,700,000 4,990,000 6,650,000 Risk High Average Low Average Table 1 shows the expected after-tax operating cash flows for each project. All projects are expected to...

The curve C is given by the parameterization ⃗r(t) = <−t , 1 − t^2> for...

The curve C is given by the parameterization ⃗r(t) = <−t , 1 − t^2> for −1 ≤ t ≤ 1. a) Choose any vector field F⃗ (x, y) = 〈some function , some other function〉 and setup the work integral of F⃗ over C. b)Choose any vector field G⃗(x,y) which has a potential function of the form φ(x,y)= x^3 + y^3 + some other stuff and compute the work done by G⃗ over C. Please use a somewhat basic...

1.) Which bacteria grew in the widest range of temperatures? a.) P.fluorescens b.) B. gloibporus c.)...

1.) Which bacteria grew in the widest range of temperatures? a.) P.fluorescens b.) B. gloibporus c.) B. stearothermophilus d.) E. oli 2.) Which of the following bacteria gre best at the lowest osmotic pressure? a.) S.ruber b.) E. coli c.) S. aureus d.) V. costicola 3.) Which statement explains what aerobes use oxygen to do? a.) to insulate themselves in anaerobic enviroments b.) to prevent free radicals from reacting with DNA and other vital molecules c.) to provide the alcohol...