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Calculate the enthalpy change when infinitely dilute solutions of `CaCl_(2)` and `Na_(2)CO_(3)` are mixed. `Delta_(f)H^(@)` for `Ca_((aq.))^(2+),CO_(3(aq.))^(2-)` and `CaCO_(3(s))` are `-129.80,-161.65` and `288.46kcal//mol` respectively. |
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Answer» Correct Answer - 3 The given reaction on two solution mixing is `CaCl_(2)+Na_(2)CO_(3) rarr CaCO_(3)+2NaCl` Each` 100%` dissociated at infinite dilution, thus `Ca_((aq.))^(2+)+2Cl_(aq.)^(-)+2Na_((aq.))^(+)+CO_(3(aq.))^(2-)rarr 2Na_((aq.))^(+)+2Cl_((aq.))^(-)+CaCO_(3(s))` or `CO_(3(aq.))^(2-)+Ca_((aq.))^(2+)rarr CaCO_(3(s))` `:. Delta_(r)H=Sigma_(Pr od uct)^(@)-Sigma_(reactant)^(@)` `=Delta_(r)H^(@)Sigma_(CaCO_(3))^(@)-[Delta_(f)H^(@)Sigma_(Ca^(2+))+Delta_(f)H^(@)Sigma_(CO_(3)^(2-))]` `=-288.46-(-129.80-161.65)` `=2.99kcal~~3kcal` |
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