Given the following table of thermodynamic data, complete the following sentence

Question

Given the following table of thermodynamic data, complete the following sentence. The vaporization of TiCL_4 is. nonspontaneous at all temperatures spontaneous at low temperature and nonspontaneous at high temperature nonspontaneous at low temperature and spontaneous at high temperature spontaneous at all temperatures I not enough information given to draw a conclusion The value of deltaGdegree at 261.0 degreeC for the formation of phosphorous trichloride from its constituent elements, P_2(g) + 3Cl_2(g) rightarrow 2PCI_3 (g)

Explanation / Answer

19)

TiCl4(l) TiCl4(g)

H

= HfO(TiCl4(l)-HfO(TiCl4(g)

   = -804.2 - (-763.2) = -41 kJ = 41*10# J

S   = S(TiCl4(l) - s(TiCl4(g)

     = 221.9 - 354 .9 = -132.1 J/molK

G     = H - T * S

     = -41*1000-T(-132.1)   <0 for spontaneous process

so 132.1T < 41000

T<   41000/132.1  

< 310K

reaction is spontaneous at low temp < 310 K

20)

   delta G at 298 K = -642.9kJ/mole =G1(say)

deltaG at (273+261)K   =?   =G2 (say)          (273+261 = 534

Now G = -2.303RT log Keqbm

G1    = -2.303 *R*298* log Keqbm --------(1)

G2    = - 2.303R*534 * log Keqbm   ---------(2)

Divide (2) by (1)

G2/G1 = 534/298

so G2 = G1*(534/298) = -642.9*534/298 = -1152.04kJ/mole

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