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Concentrations # of drops # of drops # of drops Stock Solution Stock Solution Re

ID: 878678 • Letter: C

Question

Concentrations

# of drops

# of drops

# of drops

Stock Solution

Stock Solution

Reaction (after mixing in well)

Reaction (after mixing in well)

Reaction Time

(seconds)

Reaction

Rate

(sec-1)

Well #

HCl

H2O

Na2S2O3

HCl

Na2S2O3

HCl

Na2S2O3

Trial 1

Trial 2

Average

C1, D1

12

0

8

1M

0.3M

Yellow, odor

Yellow, odor

36

34

35

0.03

C2, D2

6

6

8

1M

0.3M

Yellow, odor

Yellow, odor

42

41

42.5

0.02

C3, D3

4

8

8

1M

0.3M

Yellow, odor

Yellow, odor

42

44

43

0.02

Concentrations

# of drops

# of drops

# of drops

Stock Solution

Stock Solution

Reaction (after mixing in well)

Reaction (after mixing in well)

Reaction Time

(seconds)

Reaction

Rate

(sec-1)

Well #

HCl

H2O

Na2S2O3

HCl

Na2S2O3

HCl

Na2S2O3

Trial 1

Trial 2

Average

C4, D4

8

0

12

1M

0.3M

Yellow, odor

Yellow, odor

21

23

22

0.05

C5, D5

8

6

6

1M

0.3M

Yellow, odor

Yellow, odor

47

50

48.5

0.02

C6, D6

8

8

4

1M

0.3M

Yellow, odor

Yellow, odor

80

90

85

0.01

Determine the Reaction Order for HCl using calculations described in the Background section. Show your work. Note that your answer will probably not be an even whole number as it is in the examples, so round to the nearest whole number.

B.    Determine the Reaction Order for Na2S2O3 using calculations described in the Background section. Show your work. Note that your answer will probably not be an even whole number as it is in the examples.

Concentrations

# of drops

# of drops

# of drops

Stock Solution

Stock Solution

Reaction (after mixing in well)

Reaction (after mixing in well)

Reaction Time

(seconds)

Reaction

Rate

(sec-1)

Well #

HCl

H2O

Na2S2O3

HCl

Na2S2O3

HCl

Na2S2O3

Trial 1

Trial 2

Average

C1, D1

12

0

8

1M

0.3M

Yellow, odor

Yellow, odor

36

34

35

0.03

C2, D2

6

6

8

1M

0.3M

Yellow, odor

Yellow, odor

42

41

42.5

0.02

C3, D3

4

8

8

1M

0.3M

Yellow, odor

Yellow, odor

42

44

43

0.02

Explanation / Answer

Solution : -

Calculating order with respect to HCl

From the volume of the HCl used and the concentration of the stock solution of the HCl and volume of Na2S2O3 used we need to calculate new concentrations of the HCl in each trial after mixing the solutions.

So lets calculate the final concentration of the HCl

Trial 1

Drops of HCl = 12 drop

Drops of Na2S2O3 = 8 drop

Water drops = 0

Final concentration of HCl = initial concentration of HCl * initial volume / total volume

                                               = 1 M * 12 frop / (8 drop +12 drop)

                                                = 0.6 M

Trial 2

Drops of HCl = 6 drop

Drops of Na2S2O3 = 8 drop

Water drops = 6

Final concentration of HCl = initial concentration of HCl * initial volume / total volume

                                               = 1 M * 6 drop / ( 6 drop +6 drop+8 drop )

                                                = 0.3 M

Trial 3

Drops of HCl = 4 drop

Drops of Na2S2O3 = 8 drop

Water drops = 8

Final concentration of HCl = initial concentration of HCl * initial volume / total volume

                                               = 1 M * 4drop / ( 4 drop + 8 drop+8 drop )

                                                = 0.2 M

Now lets calculate the order of the HCl

Using the following set up

rate 1 / rate 2 = [HCl]1m   / [HCl]2m

0.03/0.02 = (0.6/0.3)m

1.5 = 2m

Log 1.5 = m * log 2

Log 1.5 / log 2 = m

0.6 = m

Therefore order with respect to HCl is half order

Now lets calculate the order with respect to Na2S2O3

Trial 1

Drops of HCl = 8 drop

Drops of Na2S2O3 = 12 drop

Water drops = 0

Final concentration of Na2S2O3 = initial concentration of Na2S2O3 * initial volume / total volume

                                               = 0.3 M * 12 frop / (8 drop +12 drop)

                                                = 0.18 M

Trial 2

Drops of HCl = 8 drop

Drops of Na2S2O3 = 6 drop

Water drops = 6

Final concentration of Na2S2O3 = initial concentration of Na2S2O3 * initial volume / total volume

                                               = 0.3 M * 6 drop / ( 6 drop +6 drop+8 drop )

                                                = 0.09 M

Trial 3

Drops of HCl = 8 drop

Drops of Na2S2O3 =4 drop

Water drops = 8

Final concentration of Na2S2O3= initial concentration of Na2S2O3* initial volume / total volume

                                               = 0.3 M * 4drop / ( 4 drop + 8 drop+8 drop )

                                                = 0.06 M

Now lets calculate the order with respect to Na2S2O3 by using the following set up

( rate 1 / rate 2) = [Na2S2O3]1n   / [Na2S2O3]2n

0.05/0.02 = (0.18/0.09)n

2.5 = 2n

Log 2.5 = n * log 2

Log 2.5/log 2 = n

n = 1.3

so we can round it n = 1

therefore order with respect to Na2S2O3 is first order

Therefore overall rate equation for the reaction is

Rate = K [ HCl]1/2 [Na2S2O3]

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