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Q2: Where might errors creep into your observations? Q3: Why don't all liquids display a temperature versus density relationship similar to that of water? Q4: If a single molecule does not have a temperature, what does temperature measure? Q5: Why is ice less dense than water? Q6: What would happen to our apparatus if the water in it froze? Experiment 2: Diffusion distance as a function of time To determine the relationship between time and the average distance traveled by the particles, pick 10║C, 15║C or 20║C and this temperature through your first set of experiments. Perform at least three independent experiments using the vScope. Make a table of your data (this will be handed in). For each set of measurements, calculate the mean distance traveled and standard deviation for each time point. Plot these points, with +/Ц the standard deviations on a graph of distance (y-axis) versus time (x-axis). Hand in your graph with your report. Experiment 3: Diffusion as a function of temperature Choose at least four temperatures (we suggest 5, 10, 15, 20 and 30║C). Perform at least 3 trials for each temperature; some may have to be longer than 30 seconds. For each trial, at each temperature, note the time it takes for the average distance traveled to reach 200 ╡m. Calculate the mean and standard deviation for each temperature, and plot these points on a graph of time (y-axis) versus temperature (x-axis). Hand in your graph with your report. Answer the questions Q1: Is the relationship between time and average distance traveled linear? Q2: Is the relationship between time to travel a set distance and temperature linear? Q3: Would changing the distance traveled change your answer? Q4: In your experiments why did you not get exactly the same value for each measurement? What was the source of the variation? Q5: Does the presence of variation mean that the system cannot be described mathematically? Q6: How would decreasing the number of diffusing particle from 30 (as it is) to 5 alter your measurements? Q7: How would increasing the number of diffusing particle from 30 to 1000 alter your measurements? Q8: Einstein hypothesized that invisible particles were responsible for Brownian motion Ц was this scientific, postulating invisible particles? /:>XdЗ  !┐═·ч э % \ ' ) ? Z[\ы╪ы╪├╪░╪Ы░Ы╪░Ж░╪u╪Ы░╪qh2=!hэu~h2=B*CJOJQJph(h2=h2=5БB*CJOJQJaJph(h2=h2=5БB*CJOJQJaJph%h2=h2=B*CJOJQJaJph(h┤{h2=5БB*CJOJQJaJph%h Гh2=B*CJOJQJaJph(h Гh2=5БB*CJOJQJaJph*+@WXЖЗ  !gЬX~┐└┴∙·Ф Х & \ ( ррррррр█рр██████рррр██рррgd2= ╞& 0`Р└Ё PА░р@1$7$8$H$gd2=\■( ) ? 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Make a table of ( ▀your dat-¤ K)┌a-) (this  - ■ А ┤)Е w-):ill-¤ K)0 -)be  - ■ А ┤)@ -)h  - ■ А ┤)"a-)nded-¤ K)Д -)in-¤ K)2)-).  - ■ А ┤) -) For-¤ K)e -)each  - ■ А ┤)z -)set of-¤ K)У -(?с#measurements, calculate the mean di  - ■ А ┤(?╢s-)tance-¤ K)О -)traveled  - ■ А ┤)╥ -)and-¤ K)b -)standard  - ■ А ┤)ш -) deviation for-¤ K(?  -(сeach time point.- рэ(Л (╛с -*@Plot these points, with +/(■Г╨), the standard deviations on a graph of dista  - ■ А ┤(■n-)!ce-¤ K): -)(y).-( >сaxis-¤ K)k)-) vers  - ■ А ┤)}u-)!s-¤ K) -)time  - ■ А ┤)t -)(x)3-)axis-¤ K)k)-).  - ■ А ┤) -) ) Hand in y  - ■ А ┤( >╗o-) ur-¤ K)8 -)graph  - ■ А ┤)Ъ -)with-¤ K)p -)your  - ■ А ┤)u -)report. :-¤а)▓ -( ГсExper-¤└F)Чi-)men-¤└F)pt-) 3-¤└F)0:-)   - ■■а ╣) -)Diffus-¤└F)Фi-)on as a  - ■■а ╣)┐ -)f-¤└F)u-)!ncti-¤└F)Zo-)!n  - ■■а ╣)  -¤└F)o-)!f  - ■■а ╣) -)te-¤└F)0m-)1p-¤└F) e-)!rat-¤└F)Cu-)!re-¤а)3  6-( ─сChoose at least four t-¤ K( ─e-) mperatures  - ■ А ┤( ─b -)(we-¤ K)Z -)suggest  - ■ А ┤)╨ -)5,-¤ K)3 -)10,  - ■ А ┤)U -)15,-¤ K)U -)20  - ■ А ┤)D -)and-¤ K)b 3-)40╝C-¤ K)`)-).  - ■ А ┤) -¤ K) -¤аЧ) -( с Perform a-¤ K)■t-) least  - ■ А ┤)Н -)3-¤ K)" -)trials  - ■ А ┤)Д -)for-¤ K)K -)each  - ■ А ┤)z -)tem-¤ K)dp-)#erature;)═ some-¤ K)Ю -)may  - ■ А ┤)l -)have-¤ K)z t-)&o  - ■ А ┤)! -)be-¤ K)@ -)longer ( Dсthan 30 seconds.( Dе For each trial, at ea  - ■ А ┤( D└c-)h-¤ K)" -) temperature,  - ■ А ┤( Da -)n-¤ K)"o-)"te  - ■ А ┤)2 -)the-¤ K)T -)t-¤ K)i-)me  - ■ А ┤)P -)it-¤ K)$ -)takes  - ■ А ┤)М -)for-¤аЧ)K -( Гсthe average distance ( Гtraveled)╥ to reach 200 ╡m-¤ K( Ге.-) Calculate  - ■ А ┤( Г╣ -)the-¤ K)T -)mean  - ■ А ┤)Р -)and-¤ K)b -( ├с$standard deviation for each temperat-¤ K( ├пu-)#re,  - ■ А ┤)E -)and-¤ K)b -)plot  - ■ А ┤)g -)these-¤ K)О -)points  - ■ А ┤)е -)on-¤ K)C -)a  - ■ А ┤) -)graph-¤ K)Ъ -)of  - ■ А ┤)5 -( сtime (y)│-)axis-¤ K)k)-) versus  - ■ А ┤)╗ -) temperature-¤ K( > -)(x)3--¤ K)a-)xis-¤ K)M)-).) 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