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Natasha2012 [34]
3 years ago
12

The diffusion coefficients for species A in metal B are given at two temperatures:

Engineering
1 answer:
Kruka [31]3 years ago
5 0

Answer:

a) 149 kJ/mol, b) 6.11*10^-11 m^2/s ,c) 2.76*10^-16 m^2/s

Explanation:

Diffusion is governed by Arrhenius equation

D = D_0e^{\frac{-Q_d}{RT} }

I will be using R in the equation instead of k_b as the problem asks for molar activation energy

I will be using

R = 8.314\ J/mol*K

and

°C + 273 = K

here, adjust your precision as neccessary

Since we got 2 difusion coefficients at 2 temperatures alredy, we can simply turn these into 2 linear equations to solve for a) and b) simply by taking logarithm

So:

ln(6.69*10^{-17})=ln(D_0) -\frac{Q_d}{R*(1030+273)}

and

ln(6.56*10^{-16}) = ln(D_0) -\frac{Q_d}{R*(1290+273)}

You might notice that these equations have the form of  

d=y-ax

You can solve this equation system easily using calculator, and you will eventually get

D_0 =6.11*10^{-11}\ m^2/s\\ Q_d=1.49 *10^3\ J/mol

After you got those 2 parameters, the rest is easy, you can just plug them all   including the given temperature of 1180°C into the Arrhenius equation

6.11*10^{-11}e^{\frac{149\ 000}{8.143*(1180+273)}

And you should get D = 2.76*10^-16 m^/s as an answer for c)

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A plane wall, 7.5 cm thick, generates heat internally at the rate of 105W/m3. One side of the wall is insulated and the other si
lukranit [14]

Answer:

T=128°C

Explanation:

Given Data:

thickness = 7.5 cm ;

internal heat generation rate = q_{s} = 105W/m³ ;

First we have the equation of conduction for steady state withh heat generation as:

k\frac{d^{2}T }{dx^{2} } + q_{s} = 0

by re-arranging it we get

\frac{d^{2}T }{dx^{2} } = - q_{s}/k

Here, q_{s} is the rate of internal heat generation,

          k is thermal conductivity constant

          dT is temperature differential

          dx is differential along x-axis

Now if we integrate both sides w.r.t x, one derivative is removed from left side of equation and and a variable is multiplied to the term on the right side and a unknown integrating constant C is added.

\frac{dT}{dx}= - (q_{s}/k)*x + C -------------------- equation (1)

Now if we apply Dirichlet's first boundary equation at x = 0, dT/dx = 0

we get,

\frac{dT}{dx}= - (q_{s}/k)*x + C

0 = - (q_{s}/k)*0 + C

C = 0

Now put C = 0 in equation 1

we get,

k \frac{dT}{dx}= - q_{s}*x ------------------ equation (2)

Now integrate it w.r.t x

T= - (q_{s}/2k)*x² + C₁ ------------------ equation (3)

Now apply Dirichlet's second boundary condition on equation 2, i.e, x=L,       k\frac{dT}{dx} = h⁻(T-T₀), equation 2 becomes

h⁻(T-T₀) = Lq_{s} ------------------ equation (4)

Put value of T from equation 3 in equation 4

h⁻(- (q_{s}/2k)*L² + C₁-T₀) = Lq_{s}

By rearranging it we get,

C₁= T₀ + q_{s}L[(L/2k)+(1/h⁻)]  ------------------ equation (5)

Now putting value of C₁ from equation 5 in equation 3, we get

T = T₀ + (q_{s}/2k)[L² + 2kL/h⁻]

Now by putting the given values of  T₀ = 90°C, q_{s} = 10 W/m², k = 12 W/mK, L = 0.075m, h⁻ = 500 W/m²K

we get, T= 128°C

4 0
3 years ago
ceramics must be heated in order to harden the clay and make it durable. the equipment used to heat the clay
SIZIF [17.4K]

Ceramics must be heated in order to harden the clay and make it durable. The tool used to heat the clay is called a Kiln.

<h3>What happens when ceramic is heated?</h3>

Cristobalite is a silica polymorph that is used in ceramics. Quartz particles in porcelain can change into cristobalite during burning. This has effects on the fired matrix's thermal expansion. When there is a high level of vitrification or a shape is unstable during the firing of ceramic ware, warping occurs.

Ceramic items are porous, brittle, and rigid. They are thus employed in the production of glass, ceramics, cement, and bricks. Additionally, ceramics are employed extensively in gas turbine engines. Artificial bones and dental implants are both made of bio-ceramics.

Any of the several tough, fragile, heat- and corrosion-resistant materials created by sculpting and then heating an inorganic, nonmetallic material like clay to a high temperature are known as ceramics.

In order to solidify the clay and make ceramics durable, heat must be applied. A kiln is the name of the device used to heat clay.

To learn more about ceramics refer to:

brainly.com/question/26247382

#SPJ4

5 0
2 years ago
Please add comments to your program to explain it. Thank you!
Step2247 [10]

Answer / Explanation:

(1) We should first understand that the input filename are passed in as the first command arguments at command line, respectively.

To do this, we import the data file:

So we have,

import java.io.*;

/**

*  Makes a copy of a file.  The original file and the name of the

*  copy must be given as command-line arguments.  In addition, the

*  first command-line argument can be "-f"; if present, the program

*  will overwrite an existing file; if not, the program will report

*  an error and end if the output file already exists.  The number

*  of bytes that are copied is reported.

*/

public class CopyFile {

  public static void main(String[] args) {

     String sourceName;   // Name of the source file,  

                          //    as specified on the command line.

     String copyName;     // Name of the copy,  

                          //    as specified on the command line.

     InputStream source;  // Stream for reading from the source file.

     OutputStream copy;   // Stream for writing the copy.

     boolean force;  // This is set to true if the "-f" option

                     //    is specified on the command line.

     int byteCount;  // Number of bytes copied from the source file.

     

     /* Get file names from the command line and check for the  

        presence of the -f option.

(2)   If the command line is not one

        of the two possible legal forms, print an error message and  

        end this program. */

   

     if (args.length == 3 && args[0].equalsIgnoreCase("-f")) {

        sourceName = args[1];

        copyName = args[2];

        force = true;

     }

     else if (args.length == 2) {

        sourceName = args[0];

        copyName = args[1];

        force = false;

     }

     else {

        System.out.println(

                "Usage:  java CopyFile <source-file> <copy-name>");

        System.out.println(

                "    or  java CopyFile -f <source-file> <copy-name>");

        return;

     }

     

     /* Create the input stream.  If an error occurs, end the program. */

     

     try {

        source = new FileInputStream(sourceName);

     }

     catch (FileNotFoundException e) {

        System.out.println("Can't find file \"" + sourceName + "\".");

        return;

     }    

     /* If the output file already exists and the -f option was not

        specified, print an error message and end the program. */

   

     File file = new File(copyName);

     if (file.exists() && force == false) {

         System.out.println(

              "Output file exists.  Use the -f option to replace it.");

         return;  

    }      

     /* Create the output stream.  If an error occurs, end the program. */

     try {

        copy = new FileOutputStream(copyName);

     }

     catch (IOException e) {

        System.out.println("Can't open output file \"" + copyName + "\".");

        return;

     }

     

   (3)   /* Copy one byte at a time from the input stream to the output

        stream, ending when the read() method returns -1 (which is  

        the signal that the end of the stream has been reached).  If any  

        error occurs, print an error message.  Also print a message if  

        the file has been copied successfully.  */  

     byteCount = 0;

     

     try {

        while (true) {

           int data = source.read();

           if (data < 0)

              break;

           copy.write(data);

           byteCount++;

        }

        source.close();

        copy.close();

        System.out.println("Successfully copied " + byteCount + " bytes.");

     }

     catch (Exception e) {

        System.out.println("Error occurred while copying.  "

                                  + byteCount + " bytes copied.");

        System.out.println("Error: " + e);

     }    

  }  // end main()  

} // end class CopyFile

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Consider the function f(n) = n
alexira [117]

get off this

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Calculate the amount of current flowing through a 75-watt light bulb that is connected to a 120-volt circuit in your home.
aev [14]

Answer: 220

Explanation:

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