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In conversion of lime-stone to lime, CaCO ₃( ~s ) CaO ( s )+ CO ₂( ~g ) the vales of H ^ and S ^ are +179.1 ~kJ ~mol ⁻¹ and 160.2 ~J / K respectively at 298 ~K and 1 ~bar . Assuming that H ^ do not change with temperature, temperature above which conversion of limestone to lime will be spontaneous is

Options

  1. A1008 ~K
  2. B1200
  3. C845 ~K
  4. D1118 ~K

Correct answer

D. 1118 ~K

Step-by-step solution

We know, G = H - T S So, lets find the equilibrium temperature, i.e. at which aligned & G =0 & H = T S & T = 179.1 1000 160.2 & =1118 ~K aligned So, at temperature above this, the reaction will become spontaneous. Hence, (D) is correct answer.

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