can u help me with my homework
im making very little progress on it and it feels intentionally obtuse
A volatile organic compound X exists as a monomer in the gas phase but partially dimerizes at higher pressures.
At 298 K, the vapour pressure of X is 42.6 kPa and its enthalpy of vaporization is 38.5 kJ mol^-1.
(a) Using the Clausius–Clapeyron equation, calculate the vapour pressure of X at 343 K.
State clearly any assumptions made.
(6 marks)
At 343 K, X undergoes the equilibrium:
2X(g) ⇌ X2(g)
The equilibrium constant Kp = 0.041 at this temperature.
(b) X(g) is introduced into an evacuated container at 343 K until the total pressure is 101.3 kPa.
(i) Define the equilibrium constant Kp for this reaction.
(2 marks)
(ii) Calculate the equilibrium partial pressures of X(g) and X2(g).
(7 marks)
(c) Hence determine the degree of dimerization of X at equilibrium.
(3 marks)
The molar mass of X is later determined experimentally using Graham’s law of effusion and is found to be significantly higher than the value expected for the monomer.
(d) Explain this observation in terms of kinetic molecular theory and your answer to part (c).
(4 marks)
Compound X is then dissolved in an inert solvent and analysed by infrared spectroscopy.
The spectrum shows a sharp absorption at 1715 cm^-1 but no broad absorption above 3000 cm^-1.
(e) Deduce the most likely functional group present in X and justify your answer.
(3 marks)
Total: 25 marks
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