At 450 K phosphorus(V) chloride, PCl5(g), decomposes to form phosphorus(III) chloride, PCl3(g), and chlorine, Cl2(g). A dynamic equilibrium is established as shown. PCl5(g) ⇌ PCl3(g) + Cl2(g) ΔH = +124 kJ mol-1 When 2.00 mol of PCl5(g) are decomposed at 450K and 1.00 × 10^5 Pa the resulting equilibrium mixture contains 0.800 mol of Cl2(g).
- (a)The enthalpy change of formation of PCl3(g) under these conditions is given. ΔH PCl3(g) = −320 kJ mol-1 Calculate the enthalpy change of formation of PCl5(g) under these conditions. Include a sign with your answer. enthalpy change = ...................................... kJ mol-1[1]
- (b)(i)State and explain the effect of increasing temperature on the rate of decomposition of PCl5(g).[2]
- (b)(ii)State and explain the effect of increasing temperature on the percentage of PCl5(g) that decomposes.[2]
- (c)Explain the meaning of the term dynamic equilibrium and the conditions necessary for it to become established.[2]
- (d)(i)Calculate the partial pressure of phosphorus(V) chloride, pPCl5, in this equilibrium mixture. pPCl5 = ........................................ Pa[2]
- (d)(ii)Write the expression for the equilibrium constant, Kp, for the decomposition of PCl5(g). Kp =[1]
- (d)(iii)The partial pressures of PCl3(g) and of Cl2(g) in this equilibrium mixture are both 2.86 x 10^4 Pa. Calculate the value of Kp and state its units. Kp = ........................................... units = ...........................................[2]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2017). The mark or mark type is shown in brackets.
- [1] -444
- [1] (higher rate / rate increases) due to higher frequency of successful collisions
- [1] more molecules / particles with E > Ea
- [1] (percentage decomposition of PCl5) increases
- [1] (forward) reaction is endothermic
- [1] rates of forward and reverse / backward reactions are equal
- [1] closed / sealed system/container
- [1] NTOTAL = 1.20 + 0.80 + 0.80 OR 2.80 (mol) OR mole fraction = 1.20/2.80 OR 0.429
- [1] pPCl5 = 1 × 10^5 × (1.20 / 2.80) = 4.29 × 10^4 (Pa)
- [1] Kp = (pPCl3 × pCl2) / pPCl5
- [1] 1.91 x 10^4
- [1] Pa
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