The carbon content at 0.01 cm, 0.05 cm and 0.10 cm length surface after 1 hour needs to be calculated, if a carburizing process is formed on a 0.10 % C steel with 1.0 % C at 980 0 Cand if the iron is FCC. Concept introduction: Fick's second law equation based on boundary condition is given by the following relation: C s − C x C s − C o = e r f ( x 2 D t ) Here, Cs = constant concentration of diffusion atom Cx = diffusion concentration atom at location x Co = initial concentration of diffusion atom T = time D = diffusion coefficient Also, diffusion coefficient according to Arrhenius type equation is given as follows: D = D o exp ( − Q R T ) Here, D = diffusion coefficient Do = constant Q = activation energy R = gas constant T = absolute temperature

Question

In the past, encryption and decryption were mostly done by substitution and permutation of letters in a text message. study those classic cryptographic schemes Then, develop an automatic cipher using Javascript The cipher should be able to perform the following tasks: generate keys encrypt a given plaintext message with a key selected from the list of keys generated decrypt a given ciphertext message with a known cipher key

Answer 1

Question

Chapter 5, Problem 5.60P

Interpretation Introduction

Interpretation:

The carbon content at 0.01 cm, 0.05 cm and 0.10 cm length surface after 1 hour needs to be calculated, if a carburizing process is formed on a 0.10 % C steel with 1.0 % C at 980⁰Cand if the iron is FCC.

Concept introduction:

Fick's second law equation based on boundary condition is given by the following relation:

Cs−CxCs−Co=erf(x2Dt)

Here,

Cs = constant concentration of diffusion atom

Cx = diffusion concentration atom at location x

Co = initial concentration of diffusion atom

T = time

D = diffusion coefficient

Also, diffusion coefficient according to Arrhenius type equation is given as follows:

D=Doexp(−QRT)

Here,

D = diffusion coefficient

Do = constant

Q = activation energy

R = gas constant

T = absolute temperature

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