SOME UNSOLVED PROBLEMS By th e tim e yo u han progressed in a per u sal of the m an ual to th is page, several in te res ting ideas have n o do u bt come to m ind . One, pe r h ap s, is that all the prob lems on the p reced ing pages have al re ad y been solved an d you r task was r eall y to solve them all over again - a som ewhat u n profi ta ble occu pa tion. H owe ver, several p roblems for wh ich the ans wers ar c no t known arc listed below. T hese prob lems are o nl y a few o f ve r y, ver y m an y. T hey have be en selected for in clusion he r e on the basis of thei r sim plicity o f presentat ion . (T he re ar c many other p roblems, some mor e interesti ng, n o dou b t , than the ones posed here, t hat ca n no t be easily descr ibed to th e b egi n ner ill scicncc.) Also , b ecause of th eir sim pl icity , we do have a loose sort o f ex planat ion for a few o f the problems in th is list. You ma y even be aware of some of th ese expla n ations. Bu t th ey arc not solved in any real sense ; th at is, for those for whi ch we han a h ypothe sis, the h ypothesis is doub ted b y at least some o f those who h ave cond u cted tes ts in their la bo rator ies. H ence they arc, all of the m , unsol ved . Later on , yo u m ay be the on e to conce ive o f an accepta b le exp lan at ion for a few o f these. Let th is be you r cha llenge! I. To 200 m l of bo ili ng water , ad d , with st irring, 0.5 g of each of the follow in g dyes: Sudan red , su lfan il b lue, an ili n e yell ow. W hen the dyes ha ve d ispe rsed , ad d sm all swat ches of co tt on , silk , woo l, an d acetate r ayon to the h ot liquid . Aft er a few minutes r em ove the p ieces o f clo th and r inse in ta p water. Wlry arc the pieces of clo th d yed di fferen t colors? 2. '\'ash an ar ti cle soiled with greasy and with no ngr easy d irt solution . W hy is th e ar ticle clean ed ? 111 a soap or de terge n t 3. P u t a bo ut 50 0 n il of wa te r in a large beaker an d hea t it to boi ling. Cont inue to b oil the wat er vigorously; note th at th e bub bles for m fro m fixe d spots o n the bo tt om, or sides, o f t he beak er . \Vhy do b ubbles form from particu lar spots when the water is b oi led vigoro usly? 4. Add 5 m l of a n . I-.N silver n it rat e solut ion to 5 uil of a O.I -N KBr solut ion. Filter o ff the prec ipi tate wh ich is form ed am i cxp ose it to a strong li gh t. \V h y d id th e silver br om ide darken ? 5. Clea n I ml of m ercu ry by sh ak ing it vigoro usly for on e m in u te in a test t ube con ta inin g 10 m l o f I-M n itri c acid . D iscard the acid an d wash the m er cury with dist ill ed water. P ut the m cr cu r y 011 a clean watc h glass and ad d enough 5-N su lf u r ic acid to cove r the m ercur y co m pletely. Ad d I 1111 o f O. I-.M po tassiu m permanganate solu tion to the acid an d st ir ge n tly. (If the m crcury at th is po int is bro ken lip into seve ra l glob u les, collect it into on c glob ulc .) \ Vith a steady hand , p ut the po int of a steel sewing n eed le u nder the surface of thc aq ue ous so lu tion an d li ghtl y touch the side o f th e m er cury glob u le , a few de gre es ab ove its "eq u ator." H ol d th e need le ste ady. R h yt hm ic act ion will co nt inue fo r several seco nd s. Wh y d ocs the m crcury pulsate? 76 6. Prepare a collod ion bag sim ilar in size and shape to a test tube. H alf-fill the bag with a sol u tion co nta in ing 0.1 g of po tato starch and 0.1 g of sod ium chloride per 100 ml . Suspe nd the half-filled bag in a beaker o f d ist illed water. From t ime to t im e test the di stilled water for the pr esen cc of CI- ions and for the p resen ce of sta rch. ' Vh y does the electrolyte d iffuse through the collod ion membrane, wherea s the sta rch does not? 7. I n the hood , pass a little ph osp horo us t rihydr id e (or arsen ic tr ih ydride or antimon y u -ihydri d e) in to a O. I-M solu tion of silver n itrate. A yello w p recipitate whic h turns black in a few ho urs or less is formed. ' Vhat is the nature of the yellow precip itat e? 8. Mi x 2 g o f finel y d ivided P b aO ~ with 2 g of finel y d ivid ed clea n sa nd. Put 50 m l of water and 50 m l of paraffin oil in a tall glass cylinder. (A grad uate will do , bu t the good chem ist uses a grad uat e on ly for mea suring vo lumes, no t for the p urpose o u tl ined hcrc.) Add the lead ox ide-sand mi x ture, and with the pal m of your han d over the mou th of the cylinde r, shake vigorously for several m in ut es. T hen let the cylinde r a nd its co n te n ts sta nd un d istur bed for a few min u tes. ' Vh y is the lead ox ide separated from the sand ? Every che m istry class includes a few studeurs interested in subjects other than chemistry. In recog ni tion of these nonchem ists, here arc a few p ro blems from ot her d iscipl ines. Fro m geo log y: w har caused the deformat ion of the outer layers of the eart h an d th e n msccluen t fo rmation of mo u n ta ins? From a su bd ivision o f b iology, emb ryo logy : T he ne rve cells whi ch are d istr ibuted throughout the bod y o f an an imal were o rigi na ll y, in the ver y yo u ng embr yo, all collected together in one place. D ur ing th e su bsequen t gro wth o f th is em bryo, man y of these cells left the site of their origi n and mi grated to remo te places in th e body, where they gr ew into fu nct io ning cells. What fac tors in it iated t his m igration? \\'h at di rected the m igr a tory cells to certa in specific locat ion s? W hat was thei r mod e o f locom ot ion? It is remar kable to realize t hat o nly lOO yea rs ago almost every q uestion listed in th is ma n ua l as an exerci se for th c stude nt (ami many ot he rs, no t l isted , for wh ich the answers are now fa irly well esta blished ) would have been p ut in t he list in th is part of th e m anual. At some fut u re t ime t he an swers to the question s now listed here will be rea so na bly well established and ot her quest ions not as ye t even co nce ived (!) will ta ke thei r place in a list such as th is one. Yo ur duty and pleasure, as a scien tist , will be to move q uest ions from the u nsolved li st t he solved list (and occasiona lly back aga in ). Yo u will learn to note with awe th at for e' "ery question re moved from the list o f un solved problem s two or three will arise to take its place. A nd yct, for all this. o u r knowled ge of what is true gets closer and closer to T r u th , a nd th is is thc wonder of wonders. to 77
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