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Convert the following balanced half-reaction in acid to a balanced half-reaction

ID: 1055684 • Letter: C

Question

Convert the following balanced half-reaction in acid to a balanced half-reaction in base: C_r_2O_7^2-(aq) + 14H^+ + 6e^-(aq) rightarrow 2Cr^3+(aq) + 7H_2O(l) How many OH^- are added to each side? After adding the OH^- and simplifying how many water molecules are on the left? Using smallest integer coefficients balance the half-reaction given below in acid. How many H^+ are on the right? As_2S_3(s) rightarrow AsO_4^3-(aq) + SO_4^2-(aq) How many electrons are added to the right? Convert the balanced half-reaction to one balanced in base. How many OH^- are added to each side? After simplifying, how many water molecule remain on the right side of the equation?

Explanation / Answer

Cr2O72-(aq) + 14H+ + 6e-(aq)   --->   2Cr3+ (aq)   + 7H2O(l)

Add 14OH- to each side.

Cr2O72-(aq) + 14H+ + 14OH- + 6e-(aq)    --->   2Cr3+ (aq)   + 7H2O(l) + 14OH-

or, Cr2O72-(aq) + 14H2O(l) + 6e-(aq)    --->   2Cr3+ (aq)   + 7H2O(l) + 14OH-             ..[ as 14H+ + 14OH- =                                                                                                                                                                                  14H2O]

or, Cr2O72-(aq) + 7H2O(l) + 6e-(aq)    --->   2Cr3+ (aq)   + 14OH-

So, answer of 16: 14OH- are added to each side.

Answer of 17: 7 water molecules are on the left.

As2S3(s) ---> AsO43-(aq) + SO42-(aq)

Step 1: Add 2 before AsO43- on the right.

As2S3(s) ---> 2AsO43-(aq) + SO42-(aq)

Step 2: Add 3 before SO42- on the right.

As2S3(s) ---> 2AsO43-(aq) + 3SO42-(aq)

Step 3: Add 28e(As goes from +3 to +5, for 2As 4 electrons will be released. S goes from -2 to +6, for 3S total 24 electrons will be released) to the right to balance the electrons.

As2S3(s) ---> 2AsO43-(aq) + 3SO42-(aq) + 28e

Step 4: Total O atom on the right is 20. So add 20 H2O on the left.

As2S3(s) + 20 H2O(l) ---> 2AsO43-(aq) + 3SO42-(aq) + 28e

Step 5: Now add 40H+ on the right.

As2S3(s) + 20 H2O(l) ---> 2AsO43-(aq) + 3SO42-(aq) + 40H+ + 28e

Now the equation is balanced.

Answer of question 18:   40 H+ are on the right.

Answer of question 19: 28 electrons

Answer of question 20:

As2S3(s) + 20 H2O(l) ---> 2AsO43-(aq) + 3SO42-(aq) + 40H+ + 28e

As2S3(s) + 20 H2O(l) + 40 OH- ---> 2AsO43-(aq) + 3SO42-(aq) + 40H+ + 40 OH- + 28e

or, As2S3(s) + 20 H2O(l) + 40 OH- ---> 2AsO43-(aq) + 3SO42-(aq) + 40 H2O + 28e

or, As2S3(s) + 40 OH- ---> 2AsO43-(aq) + 3SO42-(aq) + 20 H2O + 28e

40 OH- are added to each side.

Answer of 21:    20 H2O remains.