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Calculate the enthalpy change when infin...

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.

Text Solution

Verified by Experts

The correct Answer is:
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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Knowledge Check

  • The enthalpy change of which reaction corresponds to DeltaH_(f)^(@) "for"Na_(2)CO_(3)(s)298K?

    A
    `2Na(s)+C(s)+(3)/(2)O_(2)(g)toNa_(2)CO_(3)(s)`
    B
    `2Na_(2)O(s)+CO_(2)(g)to Na_(2)CO_(3)(s)`
    C
    `2Na^(+)(aq)+CO_(3)^(2-)(aq)to Na_(2)CO_(3)(s)`
    D
    `2Na^(+)(aq)+2OH^(-)(aq)+CO_(2)(aq)to Na_(2)CO_(3)(s)+H_(2)O`

  • Which of the following option is /are correct? Ca_(2)B_(6)O_(11)+Na_(2)CO_(3) overset(Delta) rarr CaCO_(3)+A+B A+CO_(2) rarr B

    A
    `B contains 5`B-O-B` linkage
    B
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    C
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    D
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