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Question

From the given table answer the following questions :

CO(g)CO2(g)H2O(g)H2(g)
(ΔHf)298 ( -kCal / mole )26.4294.0557.80
(ΔGf)298 ( -kCal / mole )32.7994.24
54.64
0
S298 ( -Cal / Kmole )
47.351.1?31.2
Reaction : H2O(g)+CO(g)H2(g)+CO2(g)
( i ) ΔrH298

( ii ) ΔrG298
( iii ) ΔrS298
( iv ) ΔrE298

( v ) S298[H2O(g)]

A
( i ) 8.83 kCal/mol;
( ii ) 6.81 kCal/mol,
( iii ) 10.13 Cal / K-mol,
( iv ) 9.83 kCal/mol,
( v ) +45.13 Cal / K-mol
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B
( i ) 9.83 kCal/mol;
( ii ) 8.81 kCal/mol,
( iii ) 10.13 Cal / K-mol,
( iv ) 9.83 kCal/mol,
( v ) +45.13 Cal / K-mol
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C
( i ) 9.83 kCal/mol;
( ii ) 6.81 kCal/mol,
( iii ) 10.13 Cal / K-mol
( iv ) 8.83 kCal/mol,
( v ) +45.13 Cal / K-mol
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D
( i ) 9.83 kCal/mol;
( ii ) 6.81 kCal/mol,
( iii ) 10.13 Cal / K-mol,
( iv ) 9.83 kCal/mol,
( v ) +45.13 Cal / K-mol
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Solution

The correct option is C ( i ) 9.83 kCal/mol;
( ii ) 6.81 kCal/mol,
( iii ) 10.13 Cal / K-mol,
( iv ) 9.83 kCal/mol,
( v ) +45.13 Cal / K-mol

(i) ΔrH298 = (ΔHf)298(Reactants) - (ΔHf)298(Products),
ΔrH298 =[(94.05+0)(57.826.42)] kCal/mol,
ΔrH298 =9.83kCal/mol
(ii)ΔrG298 = (ΔGf)298(Reactants) - (ΔGf)298(Products),
ΔrG298 =[(94.24+0)(54.6432.79)]kCal/mol,
ΔrG298 =6.81kCal/mol
(iii) ΔrG298 = ΔrH298TΔrS298,
Therefore,
ΔrS298 =(6.83+9.83)/298
=10.13Cal/Kmol
(iv) ΔrH298 = ΔrE298 +nRT,
Now n=0 for this reaction,
Therefore,
ΔrH298 = ΔrE298 =9.83kCal/mol

(v) ΔrS298 = (ΔSf)298(Reactants) - (ΔSf)298(Products),
Therefore,
10.13=(51.1+31.2)(47.3+ S298[H2O(g)]) S298[H2O(g)]
=45.13Cal/Kmol

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