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It is planned to carry out the reaction:...

It is planned to carry out the reaction:
`CaCO_(3)(s) hArr CaO(s) +CO_(2)(g)` at `1273K` and `1`bar pressure.
`Delta_(r)H^(Theta) = 176 kJ mol^(-1)` and `Delta_(r)S^(Theta) = 157.2 kJ mol^(-1)`
a. Is the reaction spontaneous at this temperature and pressure ?
b. Calculate the value of
i. `K_(p)` at `1273K` for the reaction
ii. partial pressure of `CO_(2)` at equilibrium

Text Solution

Verified by Experts

(a) `Delta_(r)G^(@)` for the reaction at 1273 K
`Delta_(r)G^(@) = Delta_(r)H^(@) - TDelta_(r)S^(@)`
`Delta_(r)H^(@) = 176 kJ " mol^(-1)`, `Delta_(r)S^(@) = 157.2 JK^(-1) ol^(-1)` and T = 1273 K
`therefore Delta_(r)G^(@) = 176 kJ "mol"^(-1) - 1273 xx 157.2 xx 10^(-3)kJ "mol"^(-1)`
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