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Svetllana [295]
3 years ago
13

For which set of crystallographic planes will a first-order diffraction peak occur at a diffraction angle of 44.53° for FCC nick

el (Ni) when monochromatic radiation having a wavelength of 0.1542 nm is used? The atomic radius for Ni is 0.1246 nm.
Chemistry
1 answer:
baherus [9]3 years ago
7 0

Answer:

The set of planes responsible for this diffraction peak is the [111] set.

Explanation:

We need to calculate the interplanar spacing, dₕₖₗ for nickel.

dₕₖₗ = nλ/2 sin θ

where θ = half of the diffraction angle = 44.53°/2 = 22.265°, n is the order of reflection = 1 and λ is the wavelength of the monochromatic radiation = 0.1542 nm.

dₕₖₗ = 1×0.1542/2sin 22.265°

dₕₖₗ = 0.2035 nm

But, interplanar spacing, dₕₖₗ is related to the plane (hkl), by the relation

√(h² + k² + l²) = a/dₕₖₗ

a is the lattice parameter.

Since Nickel has an FCC structure, a = 2R√2, R is given as 0.1242 nm

√(h² + k² + l²) = 2R√2/dₕₖₗ = (2×0.1246√2)/0.2035 = 1.732

(h² + k² + l²) = 1.732² = 3

The only 3 integers the values of h, k and l which fit properly into the equation is [111]

Therefore, the answer is [111].

Hope this Helps!!

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6 0
3 years ago
A gas has a temperature of 14 oC and volume of 4.5 liters. If the temperature is raised to 29
kirza4 [7]

Answer:

The new volume of the gas is 4.74L

Explanation:

Data;

T1 = 14°C = (14 + 273.15)K = 287.15K

V1 = 4.5L

T2 = 29°C = (29 + 273.15)K = 302.15

V2 = ?

From Charles law,

The volume of a fixed mass of gas is directly proportional to its temperature provided that pressure remains constant.

Mathematically,

V = kT

k = V1 / T1 = V2 / T2 = V3 / T3 = .............= Vn / Tn.

V1 / T1 = V2 / T2

Solving for V2

V2 = (V1 * T2) / T1

V2 = (4.5 * 302.15) / 287.15

V2 = 4.735L

V2 = 4.74L

The new volume of the gas is 4.74L

7 0
3 years ago
The second-order rate constant for the reaction A+ 2 B ->C + D is 0.34 dm' mo1·• s'. \\'hat is the concentration of C after (
gogolik [260]

Answer:

i) After 20 s the concentration of C is 0.024 M

ii) after 15 min the concentration of C is 0.027 M

Explanation:

Let´s assume that the reaction is first order for each reactive, making a second order global reaction. In that case:

v = k[A][B] = 0.34 M⁻¹ s⁻¹ * 0.027 M * 0.130 M = 1.2 x 10⁻³ M /s

First, let´s see how much time it takes for the reactants to disappear:

The rate of disappearance of A will be:

-Δ[A] / Δt = v

where:

Δ[A] = final - initial concentration of A

Δ[t] = elapsed time

Then:

Δ[t] = -Δ[A] / v

Δ[t] = - (-0.027 M) / 1.2 x 10⁻³ M /s = 22.5 s

The rate of disappearance of B will be:

-1/2Δ[B] / Δt = v

Δt = -1/2 * (-0.130 M) / 1.2 x 10⁻³ M /s

Δt = 54.2 s

Then, the reactant A will completely disappear in 22.5 s and it will limit the reaction.

The rate of production of C will be:

Δ[C] / Δt = v

where

Δ[C] = final concentration of C - initial concentration of C

Δt = final time - initial time

v = rate of the reaction

Then:

Δ[C] = v * Δt

Since the initial concentration of C is 0 and the initial time is 0, then:

[C] = v * t

i) t = 20 s

[C] =  1.2 x 10⁻³ M /s * 20 s = <u>0.024 M</u>

ii) t = 15 min = 15 min * (60 s/ 1 min) = 900 s

The reaction does not occur beyond the 22.5 s which is the time in which A disappears. Then, the concentration of C at 15 min will be the same as the concentration at 22.5 s:

[C] = 1.2 x 10⁻³ M /s * 22.5 s = <u>0.027 M</u>

7 0
3 years ago
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