Math and Chemistry

Must be your own work…….Due ASAP!!!

1. A wet cell is constructed and the salt bridge was replaced with a piece of copper wire, does the cell produce a sustainable current and why or why not.

2. A one-to-one function and its inverse can be used to make information secure. The function is used to encrypt a message, and its inverse is used to decrypt the encrypted message. The following numerical values are assigned to each letter of the alphabet:

 

A 1

B 2

C 3

D 4

E 5

F 6

G 7

H 8

I 9

J 10

K 11

L 12

M 13

N 14

O 15

P 16

Q 17

R 18

S 19

T 20

U 21

V 22

W 23

X 24

Y 25

Z 26

 

Using the function f(x)=3x-1, the message “HELLO” would be encrypted 23 14 35 35 44 since H corresponds to 8 and f(8)=3(8)-1=23, etc.

This week, each student is to use a one-to-one function to encode a word, phrase, or sentence that relates to some topic that we have covered in this class. Post your function and your encrypted message to the discussion forum by selecting "Add a new discussion topic" below. Label the Subject "'s message." Then, choose one of your classmate's posts to decrypt. You will need to first find your classmate's inverse function, explaining carefully how you determined it. Then decrypt the message. Put all of this information in your reply post. In addition, throughout the week, you should reply to at least two of your other classmates' posted solutions and verify their inverse functions and decrypted messages.

3. The cell does not produce a sustainable current. The copper wire does not have what is needed as far as positive and negative charges that can balance out the charges in the half-cells. A salt bridge is a U-shaped tube that is filled with an electrolyte solution that does not participate in the oxidation-reduction reaction. The electrolyte is often in a gel form to prevent it from leaving the tube. The anions (Cl– and NO3–) will leave the salt bridge and travel into the zinc side of the electrochemical cell.

4. The cell would not produce a sustainable current because the wire cannot balance the accumulation of charges in each of the half cells. The salt bridge allows the flow of the positively charged ions to move from the zinc half-cell to the copper half-cell, and without the salt bridge the half-cell reaction would stop.