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Thermodynamics question

2020 · Shift 2 · Q17
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Thermodynamics question

2020 · Shift 2 · Q17

JEE AdvancedChemistryThermodynamicsNumerical+4 / −1
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 298K:ΔfH∘[SnO2(s)]=−581.0298K:{\Delta _f}H^\circ [Sn{O_2}(s)] = - 581.0298K:Δf​H∘[SnO2​(s)]=−581.0 mol-1, ΔfH∘[(CO2)(g)]=−394.0 kJ mol−1S∘[SnO2(s)]=56.0J K−1mol−1S∘[Sn(s)]=52.0 J K−1mol−1S∘[C(s)]=6.0 J K−1mol−1S∘[CO2(g)]=210.0 J K−1mol−1\begin{aligned} & {\Delta _f}H^\circ [(C{O_2})(g)] = - 394.0\,kJ\,mol{ ^{-1}} \\ & S^\circ [Sn{O_2}(s)] = 56.0J\,{K^{ - 1}}mo{l^{ - 1}} \\ & S^\circ [Sn(s)] = 52.0\,J\,K{ ^{-1}}mo{l^{ - 1}} \\ & S^\circ [C(s)] = 6.0\,J\,{K^{ - 1}}mo{l^{ - 1}} \\ & S^\circ [C{O_2}(g)] = 210.0\,J\,{K^{ - 1}}mo{l^{ - 1}} \\\end{aligned}​Δf​H∘[(CO2​)(g)]=−394.0kJmol−1S∘[SnO2​(s)]=56.0JK−1mol−1S∘[Sn(s)]=52.0JK−1mol−1S∘[C(s)]=6.0JK−1mol−1S∘[CO2​(g)]=210.0JK−1mol−1​ Assume that, the enthalpies and the entropies are temperature independent.
Numerical answer
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