Please do all parts and show work and explain, thank you. 6. Here is a small tab
ID: 885636 • Letter: P
Question
Please do all parts and show work and explain, thank you.
6. Here is a small table of molar heat capacities; Chemical Cvm Argon Cm(J/K/mol) 12.5 20.6 Cp.m(J/K/mol) 20.8 29.0 a. Can you explain the trends in the data? (Hint: the numbers above may not agree perfectly with any simple theory you develop) (8 pts) b. Now if we add peroxide to the list: Chemical Cvm Peroxide CmJ/K/mol) 34.8 Cp.m(J/K/mol) 37.2 It appears that the internal energy of peroxide is ~8/2 RT, as opposed to 6/2 RT that we see for other non-linear molecules like methane. What do you think could be the extra degrees o:f freedom that peroxide has that methane doesn't? Hint, look at the molecule above. (4 pts)Explanation / Answer
a)
Actually theory is CP-CV = R
In case of argon : CP - CV = 20.8 -12.5 =.83 J/K/Mol .
The value of universal gas constant R is 8.314 J/K/mol. So Argon follows this rule with little deviation
In case of N2: CP-CV = 29-20.6 =8.4 J/K/Mol.
The value of universal gas constant R is 8.314 J/K/mol. So N2 follows this rule with little deviation
b) In methane there are only 4 C-H bond but peroxide has 4 O-H bond and 1 O-O which accounts for its extra degree of freedom.