please help with these, especially the last 3, thanks! Cyclopentadienyl, or Cp,
ID: 706337 • Letter: P
Question
please help with these, especially the last 3, thanks!
Cyclopentadienyl, or Cp, exists as a dimer, Cp2 at standard conditions. For its use in most chemistry, it needs to be "cracked," or split into its monomer Cp in an endothermic process (something Sam's lab does often): a) If K.-26 at 30.0 °C, what is the ?Go of the process? b) Will the forward reaction be spontaneous if a 12.0 L reaction vessel contains 12 mol c) IfI want to gather 50.0 mol of Cp, how many moles of Cp2 must I react to d) If the AH° of the reaction is 20.0 kJ/mol, what will the K be at the boiling point of e) To to get the most Cp for a given amount of Cp2, what can be done? of Cp and 1 mol of Cp2? equilibrium at 30 °C in a 12.0 L flask? Cp2, 170 °C?Explanation / Answer
a) ?G° can be found by using the formula, ?G° = ?RT ln Kc
= - 8.314 * (30+273) * ln(26)
= - 8207.60 J/mol
b) To get the spontaneity of the reaction, we need to find the value of reaction quotient, Q
Q = Cp2/Cp2
Cp = 12 mole / 12 L = 1 M
Cp2 = 1 mole / 12 L = 1/12 M
So,
Q = 1/(1/12) = 12
Conclusion: Since Q < Kc Reaction will proceed in forward direction spontaneously.
3) At equillibrium condition
Conc(Cp)e = 50/12 = 4.166 M
Conc(Cp2)e =
K1 Conc(Cp2)eq = K2 Conc(Cp)eq
Kc = K1 / K2 = Conc(Cp)eq / Conc(Cp2)eq
26 = 4.166 / Conc(Cp2)eq
Conc(Cp2)eq = .1602M
moles of Cp2at eq = 1.92 M
I'am not writing answers here but based on equillibrium value and initial moles of Cp2 you can calculate the no of moles needed.
d) To calculate K at Temp = 170o, we can use the formula
lnK=??H?/RT+?S?/R
?S? = (?H? - ?G°)/T
= {20,000 - (-8207.6)}/380
= 74.23 J/Mol-K
So,
by solving above equation K = 2.598
Sorry the attempt was made in hurry, So if solutions are not exactly true.
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