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VCE Stuff => VCE Science => VCE Mathematics/Science/Technology => VCE Subjects + Help => VCE Chemistry => Topic started by: year12 on May 29, 2010, 03:30:11 pm

Title: calibration curves
Post by: year12 on May 29, 2010, 03:30:11 pm
How is everyone going with their exam prep? (Less than 2 weeks to go now...)

I had a question to ask about drawing calibration curves.
Let's say once the data is plotted and it appears to be non-linear,
- do I draw a straight line (a line of best fit) or do I draw a curve, trying to pass through all the given points?
- & when trying to draw a line of best fit, what happens if it doesn't go through the origin? Or should I try to pass it through the origin?
Because it really doesn't make sense especially if they give us an absorbace of 0 when the conentration is 0 ... and my graph does not show this.

Your advice will be helpful!

Thanks.
Title: Re: calibration curves
Post by: stonecold on May 29, 2010, 03:33:33 pm
I honestly doubt they would get us to draw a calibration curve, and if they did, it would be linear, and would probably be easy to draw in that all the values would fall on the grid lines, and the line would fall on the points.

I couldn't imagine how they would mark us on drawing a non linear calibration curve.

Tbh, I just wish they gave us a calibration equation.  Easier, and wayy more accurate. :D
Title: Re: calibration curves
Post by: superflya on May 29, 2010, 03:34:10 pm
u draw a linear line of best fit.. try to get it to cover most of the points.
Title: Re: calibration curves
Post by: Martoman on May 30, 2010, 03:13:56 pm
This is a good question. If it is non-linear then it has to be DILUTED. The question would almost certainly have to ask you: "Explain why this curve is non linear" or something like that, then ask you to dilute it by some factor and THEN with these transformed data do you graph a calibration curve.

mmmm i smell duuuurty VCAA examiners getting sweaty palms just discussing such a nasty question. They would have a tasty tasty galvanic skin response, im sure.  :idiot2:
Title: Re: calibration curves
Post by: crayolé on May 30, 2010, 03:38:06 pm
This is a good question. If it is non-linear then it has to be DILUTED. The question would almost certainly have to ask you: "Explain why this curve is non linear" or something like that, then ask you to dilute it by some factor and THEN with these transformed data do you graph a calibration curve.

mmmm i smell duuuurty VCAA examiners getting sweaty palms just discussing such a nasty question. They would have a tasty tasty galvanic skin response, im sure.  :idiot2:
Could you please explain this in more detail? ;]
Title: Re: calibration curves
Post by: Martoman on May 30, 2010, 03:47:52 pm
Yeah.

Say you had a very concentrated sample. At low concentrations this would still appear linear on a calibration curve. But at higher concentrations... it will start to go all over the shop (ie: most likely exponential). This is why in these types of questions we are usually told that a 20ml sample was diluted to 100ml or 200 ml or whatever so that a linear plot will form.

I think there was a great example of this in the NEAP 2010 paper asking about by what factor do you dilute a sample by to get it in the appropriate region for analysis. hit it up.  ;)

Title: Re: calibration curves
Post by: stonecold on May 30, 2010, 03:50:31 pm
Isn't that a fairly standard question?

Why does the sample need to be diluted?
SO the absorbance reading for the sample falls within the calibration curve, as it is inaccurate to extrapolate above the curve.
Title: Re: calibration curves
Post by: Martoman on May 30, 2010, 04:00:39 pm
Its fairly standard to those who know what they are doing ;)

Given the context of this thread and the fact that no one mentioned it I thought it apt to interject.
Title: Re: calibration curves
Post by: olly_s15 on May 30, 2010, 10:17:33 pm
Yeah.

Say you had a very concentrated sample. At low concentrations this would still appear linear on a calibration curve. But at higher concentrations... it will start to go all over the shop (ie: most likely exponential). This is why in these types of questions we are usually told that a 20ml sample was diluted to 100ml or 200 ml or whatever so that a linear plot will form.

I think there was a great example of this in the NEAP 2010 paper asking about by what factor do you dilute a sample by to get it in the appropriate region for analysis. hit it up.  ;)



to me this seems wrong - how can you go from an exponential graph and then multiply it by a dilution factor (which is a constant) and come out with a linear graph? just doesn't make sense; please explain.
Title: Re: calibration curves
Post by: Martoman on May 30, 2010, 11:05:02 pm
Eh it will turn out to be exponential at high concentrations honey. At LOW concentrations you will see a nice linear fit. Think about a graphics calculator. You have a exponential graphed. Something like . Zoom in between x values (0,1) and y values somewhere like 1 to 2. Notice how it looks as if you could put a straight line through it. This is essentially what you are doing. 
Title: Re: calibration curves
Post by: olly_s15 on May 30, 2010, 11:13:49 pm
but if we dilute a sample to ensure we can obtain information within the calibration graph and then proceed to find out a quantity in the undiluted sample, we just multiply by a dilution factor

what you are saying contradicts this... you're saying that the sample of higher concentration would deviate from a linear shape which essentially means you cannot multiply by a constant
Title: Re: calibration curves
Post by: Martoman on May 30, 2010, 11:16:46 pm
Of course it would deviate from a linear shape! We are doing fickle VCE stuff here, i wouldn't hold onto it too badly! I'm sure Mao or some other genius can explain from a university standpoint what I mean here  :-\
Title: Re: calibration curves
Post by: stonecold on May 30, 2010, 11:18:12 pm
Martoman is right.  It is called Beers law I think.  At high concentration, the graph is actually exponential, but because we do a somewhat watered down version of chem, we only get concentrations in the lower part of the graph where it appears linear.  That is why you should NEVER extrapolate above the curve.


And also why it is called a curve :P
Title: Re: calibration curves
Post by: Martoman on May 30, 2010, 11:21:41 pm
... because we do a somewhat watered down version of chem....................


 :2funny: :2funny: :2funny: :2funny: :2funny: :2funny: :2funny: :2funny: :2funny: :2funny:
Title: Re: calibration curves
Post by: olly_s15 on May 30, 2010, 11:22:05 pm
Martoman is right.  It is called Beers law I think.  At high concentration, the graph is actually exponential, but because we do a somewhat watered down version of chem, we only get concentrations in the lower part of the graph where it appears linear.  That is why you should NEVER extrapolate above the curve.

"beer's" law, lol!

do you understand about what type of questions i'm talking about though? i'm not saying you guys are wrong, it just contradicts some of the questions i've done - although yes, this is VCE level, watered down etc.
Title: Re: calibration curves
Post by: TrueTears on May 30, 2010, 11:25:16 pm
this doesn't really have anything to do with chem but i just wanna point out a line is a curve (well at least according to euclidean geometry, not sure how many of you out there are abstract geometrists)  :2funny: so u are actually drawing a curve :P
Title: Re: calibration curves
Post by: Martoman on May 30, 2010, 11:25:58 pm
this doesn't really have anything to do with chem but i just wanna point out a line is a curve  :2funny: so u are actually drawing a curve :P

BAHAHAAHHAHAHAHAHAAHHA

Oh TT. You are a legend. You know that right.
Title: Re: calibration curves
Post by: TrueTears on May 30, 2010, 11:26:49 pm
lololololol haha i just had an urge to point that out LOL
Title: Re: calibration curves
Post by: olly_s15 on May 30, 2010, 11:32:05 pm
lololololol haha i just had an urge to point that out LOL

yes because euclidean geometry was considered when they named it the calibration curve

haha
Title: Re: calibration curves
Post by: Martoman on May 30, 2010, 11:32:46 pm
*sigh*................................*duck*
Title: Re: calibration curves
Post by: TrueTears on May 30, 2010, 11:33:19 pm
lololololol haha i just had an urge to point that out LOL

yes because euclidean geometry was considered when they named it the calibration curve

haha
lol shows why chemists will never be true mathematicians
Title: Re: calibration curves
Post by: olly_s15 on May 30, 2010, 11:44:45 pm
lololololol haha i just had an urge to point that out LOL

yes because euclidean geometry was considered when they named it the calibration curve

haha
lol shows why chemists will never be true mathematicians

thought that was pretty obvious - they are chemists, not mathematicians lolzzzzzz

ok i'll stop now
Title: Re: calibration curves
Post by: TrueTears on May 30, 2010, 11:54:42 pm
not really chemists use more numbers than pure mathematicians, you could say they are more mathematical in nature.
Title: Re: calibration curves
Post by: Mao on May 31, 2010, 02:13:24 am
lololololol haha i just had an urge to point that out LOL

yes because euclidean geometry was considered when they named it the calibration curve

haha
lol shows why chemists will never be true mathematicians
/me loads shotgun
Nah I kid.

but yes, kudos to kids who've taken their time to research the topic. The Generalized Beer-Lambert law only holds when there's no (or very small amount) of intermolecular interactions (i.e. the compound you are studying do not interact with each other).

As concentration gets large, these interactions become significant, and can often result in polymerization, coordination and all sorts of crazy things, which changes just about every parameter in the generalized Beer-Lambert law.

The accuracy (and linearity) of a spectrometer thus is really limited by the sensitivity of the optical detector. More sensitive optical detectors can detect smaller changes in concentrations, thus allow the use of lower concentrations, and more empirically correct data.
Title: Re: calibration curves
Post by: TrueTears on May 31, 2010, 02:17:54 am
lol opps i forgot, add exception: Mao