આપેલ:

$\left( i \right)\,2F{e_2}{O_3}\left( s \right) \to 4Fe\left( s \right) + 3{O_2}\left( g \right)$

${\Delta _r}{G^o} = + 1487.0\,kJ\,mo{l^{ - 1}}$

$\left( {ii} \right)\,2CO\left( g \right) + {O_2}(g) \to 2C{O_2}\left( g \right)$

${\Delta _r}{G^o} = - 514.4\,kJ\,mo{l^{ - 1}}$

તો નીચેની પ્રક્રિયા માટે મુક્ત ઊર્જા ફેરફાર $\Delta_rG^o$ .....$kJ\, mol^{-1}$

$\,2F{e_2}{O_3}\left( s \right) + 6CO\left( g \right) \to 4Fe\left( s \right) + 6C{O_2}\left( g \right)$

Question

આપેલ:

$\left( i \right)\,2F{e_2}{O_3}\left( s \right) \to 4Fe\left( s \right) + 3{O_2}\left( g \right)$

${\Delta _r}{G^o} = + 1487.0\,kJ\,mo{l^{ - 1}}$

$\left( {ii} \right)\,2CO\left( g \right) + {O_2}(g) \to 2C{O_2}\left( g \right)$

${\Delta _r}{G^o} = - 514.4\,kJ\,mo{l^{ - 1}}$

તો નીચેની પ્રક્રિયા માટે મુક્ત ઊર્જા ફેરફાર $\Delta_rG^o$ .....$kJ\, mol^{-1}$

$\,2F{e_2}{O_3}\left( s \right) + 6CO\left( g \right) \to 4Fe\left( s \right) + 6C{O_2}\left( g \right)$

JEE MAIN 2018, Diffcult

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Solution

b
$(i)\,2F{e_2}{O_3}(s) \to 4Fe(s) + 3{O_2}(g);$

${\Delta _r}{G^o} = + 1487.0\,kJ\,mo{l^{ - 1}}$

$(ii)\,2CO(g) + {O_2}(g) \to 2C{O_2}(g);$

${\Delta _r}{G^o} = - 514.4\,kJ\,mo{l^{ - 1}}$

Multiple reaction $(ii)$ with $3$,we get

$(iii)\,6CO(g) + 3{O_2}(g) \to 6C{O_2}(g);$

${\Delta _r}{G^o} = 3 \times - 514.4 = - 1543.2\,kJ\,mo{l^{ - 1}}$

When we add reaction $(i)$ and reaction $(iii)$, we get reaction $(iv)$

$(iv)\,2F{e_2}{O_3}(s) + 6CO(g) \to 4Fe(s) + 6C{O_2}(g)$

Free energy change, ${\Delta _r}{G^o}$ for the reaction will be

$1487.0 - 1543.2 = - 56.2\,kJ\,mo{l^{ - 1}}$

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