Chemical kinetics - reaction rate

[chizuru]

Homework Statement

2HCl + Na₂S₂O₃ -> 2NaCl +S + SO₂ + H₂O
Find the order of reaction with respect to S₂O₃^2- and H⁺

volume of 3.0M HCl was held constant at 2ml

Homework Equations

S₂O₃^2- + 2H⁺ -> S + SO₂ + H₂O
rate = k[Na₂S₂O₃]^m[HCl]ⁿ (see number 3.)

The Attempt at a Solution

i just started taking calculus so I'm having a hard time understanding most of the equations I find in the net and most of them skip the part of solving so I can't find enough examples.
I tried to graph the S₂O₃^2- part first

Concentration of reaction against time(left)
Rate of Reaction against Concentration of a Reactant(right)

it "looks" like the graph of a second order. could someone please tell me if it is correct and another way of solving it aside from graphing and some calculus? thanks in advance

 

[chizuru]

and additional question, may i know the effect of having different volumes of water?

 

[Borek]

Please explain what you plotted, to be honest it doesn't look like anything to me.

Edit: adding water just dilutes solutions.

 

[epenguin]

And "time for reaction to finish" doesn't really mean anything. It never finishes. Though I can make a guess, operationally what was it?

 

[chizuru]

Sorry for being unclear. The "time for reaction to finish" should be the "time elapsed for the solution to be completely cloudy".
For the graph at the left: the x-axis is the time elapsed for the solution to be completely cloudy and the y-axis is the number of moles/L.
For the graph at the right: the x-axis is the number of moles/L and the y-axis is the number of moles/(L * time)

 

[epenguin]

It is almost embarrassing. I am inclined to advise don’t waste clean thought on such a dirty experiment. Any calculus would certainly be overkill.

But if you really do have to write up something:
Do you have any idea of the concentration of product S at which the “solution becomes completely cloudy”? If that is just a small fraction of the Na₂S₂O₃ and you know what it is, call it C_crit, you could just about say that C_crit/(time to reach C_crit) is a velocity in moles.L^-1s^-1. And if you don’t know what C_crit is then 1/(time to reach C_crit) is proportional to velocity. This is something like your RHS fig turned sideways and reflected. Which looks roughly linear.
With the proviso that that is the vaguest roughest experimental endpoint imaginable.
And that if C_crit is not comparatively small as said, forget trying to do anything at all.And that you would have to clean up your presentation.
I don’t know why your table has 3 points and your graph 5.
Your vertical axis on left table can’t possibly be moles/L
You couldn’t find the order in HCl as you haven’t varied it.

I don't know if I got across I have rarely seen such a bad experiment, sorry.