The heat of solution of anhydrous and are and respectively, The value of x is _________ . (nearest integer)

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Solution

Q.
The heat of solution of anhydrous ${CuSO}_{4}$ and ${CuSO}_{4} \cdot 5 H_{2} O$ are $- 70 kJ {mol}^{- 1}$ and $+ 12 kJ {mol}^{- 1}$ respectively.

The heat of hydration of ${CuSO}_{4}$ to ${CuSO}_{4} \cdot 5 H_{2} O$ is $- x$ $kJ .$

The value of x is _________ . (nearest integer) [2024]

Ans.
(82)

Enthalpy of solution of anhydrous ${CuSO}_{4} (Δ H_{1})$ is given by equation:

${CuSO}_{4} (s) \overset{H_{2} O}{\to} {CuSO}_{4} (aq), Δ H_{1} = - 70 kJ {mol}^{- 1}$ ...(i)

Enthalpy of solution of ${CuSO}_{4} \cdot 5 H_{2} O (∆ H_{2})$ is given by equation:

${CuSO}_{4} \cdot 5 H_{2} O (s) \overset{H_{2} O}{\to} {CuSO}_{4} (aq), Δ H_{2} = + 12 kJ {mol}^{- 1}$ ...(ii)

(i) - (ii)

${CuSO}_{4} (s) \overset{H_{2} O}{\to} {CuSO}_{4} \cdot 5 H_{2} O (s),$

$Δ H = Δ H_{1} - Δ H_{2} = (- 70 - 12) kJ {mol}^{- 1} = - 82 kJ {mol}^{- 1}$

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