At very low temperatures, debye showed that the heat capacity of solids is approximated by: , where the parameter θd, called the debye temperature, is proportional to the typical vibrational frequencies in that solid. since diamond is very tightly bonded, its vibrational frequencies are large and θd is large (1890k, compared to 92k for solid ar). this debye relation holds pretty well when t < 0.2 θd.
a. calculate δh for heating diamond at constant pressure from 200 to 300k. hint: (for solids and liquids, you can generally assume that cv, m = cp, m, whereas they differ by r for ideal gases.)
b. ten grams of diamond at 200k is put into an adiabatic vessel of fixed volume containing ar gas at 315 k and 1 atm. pressure. when this system (ar gas plus diamond) comes to thermal equilibrium, the final temperature drops to 300k. what is the volume of this adiabatic vessel? (hint: neglect the small volume required for the diamond itself, so that the volume can be directly calculated from the amount of ar gas. since ar is an ideal monatomic gas at these conditions, cv, m = 3/2 r.)

Acetic acid  /əˈsiːtɪk/, systematically named  ethanoic acid  /ˌɛθəˈnoʊɪk/, is a colourless liquid  organic compound  with the  chemical formula  ch3cooh (also written as ch3co2h or c2h4o2). when undiluted, it is sometimes called  glacial acetic acid.  vinegar  is no less than 4% acetic acid by volume, making acetic acid the main component of vinegar apart from water. acetic acid has a distinctive sour taste and pungent smell. in addition to household vinegar, it is mainly produced as a precursor to  polyvinyl acetate  and  cellulose acetate. it is classified as a  weak acid  since it only partially  dissociates  in solution, but concentrated acetic acid is corrosive and can attack the skin.acetic acidnamespreferred iupac nameacetic acidsystematic iupac nameethanoic acidother namesvinegar (when dilute); hydrogen acetate; methanecarboxylic acid[1][2]identifierscas number64-19-7  3d model (jsmol)interactive image3dmetb00009 reference506007chebichebi: 15366  chemblchembl539  chemspider171  drugbankdb03166  echa infocard100.000.528ec number200-580-7e numbere260  (preservatives)gmelin reference1380iuphar/bps1058keggd00010  meshacetic+acidpubchem  cid176rtecs numberaf1225000uniiq40q9n063p  un number2789inchiinchi=1s/c2h4o2/c1-2(3)4/h1h3,(h,3,4)  key:   qtbsbxvteameqo-uhfffaoysa-n  smilescc(o)=o

For me a person with a phd and who knows what there talking about.i know the chances of a radiation leak is low but if it does the area within a 96.3 mile radius would be unusable because of contamination