Tin is obtained from cassiterite by reduction with coke. Use the data given below to determine the minimum temperature (in K) at which the reduction of cassiterite by coke would take place.
At 298 K;
f H° (SnO 2 (s)) = -581.0 kJ mol -1 ,
f H 0 (CO 2 (g)) = - 394.0 kJ mol -1 ,
S° (SnO 2 (s)) = 56.0 J K -1 mol -1 , S 0 (Sn(s)= 52.0 J K -l mol -l
S° (C (s)) = 6.0 J K -1 mol -1 , 5° (CO 2 (g))= 210.0 J K -l mol -1 ,
Assume that the enthalpies and the entropies are temperature independent.
Text Solution
Verified by Experts935
(935)
SnO 2 (s) + C(s)
Sn(s) + CO 2 (g)
= -394.0 + 581 = 187 kJmol -1
S
0 =210 + 52-6-56=200 Jmol -1 K -1
Equilibrium temperature (T) eq =
= 935 K
So, T > 935 K (for spontaneity)
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