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37
Subjective

How is heavy water prepared? Compare its physical properties with those of ordinary water.

Explanation

Heavy water is prepared by prolonged electrolysis of water. Comparison of physical properties of heavy water with those of ordinary water is as follows

Property H$$_2$$O D$$_2$$O
Molecular mass $\left(\mathrm{g} \mathrm{mol}^{-1}\right)$ 18.0151 20.0276
Melting point (K) 273.0 276.8
Boiling point (K) 373.0 374.4
Enthalpy of formation $\left(\mathrm{kJ} \mathrm{mol}^{-1}\right)$ $$-$$285.9 $$-$$294.6
Enthalpy of vaporisation $-373 \mathrm{~K}^{(}\left(\mathrm{kJ} \mathrm{mol}^{-1}\right)$ 40.66 41.61
Temperature of max. density (K) 276.98 284.2
Density at $298 \mathrm{~K}\left(\mathrm{~g} \mathrm{~cm}^{-3}\right)$ 1.0000 1.1059
Viscosity (centipoise) 0.8903 1.107
Dielectric constant $\left(\mathrm{C}^2 / \mathrm{Nm}^2\right)$ 78.39 78.06
Electrical conductivity at $298 \mathrm{~K}\left(\mathrm{ohm}^{-1} \mathrm{~cm}^{-1}\right)$ $$5.7\times10^{-8}$$ $$-$$
Enthalpy of fusion $\left(\mathrm{kJ} \mathrm{mol}^{-1}\right)$ 6.01 $$-$$

38
Subjective

Write one chemical reaction for the preparation of $\mathrm{D}_2 \mathrm{O}_2$.

Explanation

The one chemical reaction for the preparation of $\mathrm{D}_2 \mathrm{O}_2$ is by the action of $\mathrm{D}_2 \mathrm{SO}_4$ dissolved in water over $\mathrm{BaO}_2$.

$$\mathrm{BaO}_2+\mathrm{D}_2 \mathrm{SO}_4 \longrightarrow \mathrm{BaSO}_4+\mathrm{D}_2 \mathrm{O}_2$$

39
Subjective

Calculate the strength of 5 volumes $\mathrm{H}_2 \mathrm{O}_2$ solution.

Explanation

By definition, 5 volumes $\mathrm{H}_2 \mathrm{O}_2$ solution means that 1 L of this $\mathrm{H}_2 \mathrm{O}_2$ solution on decomposition produces 5 L of $\mathrm{O}_2$ at STP.

$$\begin{aligned} 2 \mathrm{H}_2 \mathrm{O}_2 & \longrightarrow 2 \mathrm{H}_2 \mathrm{O}+\mathrm{O}_2 \\ 2 \times 34 \mathrm{~g} & \longrightarrow 22.7 \mathrm{~L} \text { at STP } \end{aligned}$$

If $22.7 \mathrm{LO}_2$ at STP will be obtained from $\mathrm{H}_2 \mathrm{O}_2=68 \mathrm{~g}$

$\therefore 5 \mathrm{~L}$ of $\mathrm{O}_2$ at STP will be obtained from $\mathrm{H}_2 \mathrm{O}_2=\frac{68 \times 5}{22.7} \mathrm{~g}=14.98=15 \mathrm{~g}$

$\therefore$ Strength of $\mathrm{H}_2 \mathrm{O}_2$ in 5 volume $\mathrm{H}_2 \mathrm{O}_2$ solution $=15 \mathrm{~g} \mathrm{~L}^{-1}$.

$\Rightarrow \quad$ Percentage strength of $\mathrm{H}_2 \mathrm{O}_2$ solution $=\frac{15}{1000} \times 100=1.5 \%$

Therefore, strength of $\mathrm{H}_2 \mathrm{O}_2$ in 5 volume $\mathrm{H}_2 \mathrm{O}_2$ solution $=15 \mathrm{~g} / \mathrm{L}=1.5 \% \mathrm{H}_2 \mathrm{O}_2$ solution.

40
Subjective

(i) Draw the gas phase and solid phase structure of $\mathrm{H}_2 \mathrm{O}_2$.

(ii) $\mathrm{H}_2 \mathrm{O}_2$ is a better oxidising agent than water. Explain.

Explanation

(i) $\mathrm{H}_2 \mathrm{O}_2$ has a non-planar structure. The molecular dimensions in the gas phase and solid phase are given below

(a) $\mathrm{H}_2 \mathrm{O}_2$ structure in gas phase, dihedral angle is $111.5^{\circ}$.

(b) $\mathrm{H}_2 \mathrm{O}_2$ structure in solid phase at 110 K , dihedral angle is $90.2^{\circ}$.

(ii) $\mathrm{H}_2 \mathrm{O}_2$ is better oxidising agent than water as discussed below

(a) $\mathrm{H}_2 \mathrm{O}_2$ oxidises an acidified solution of KI to give $\mathrm{I}_2$ which gives blue colour with starch solution but $\mathrm{H}_2 \mathrm{O}$ does not.

$$\begin{aligned} & 2 \mathrm{KI}+\mathrm{H}_2 \mathrm{SO}_4+\mathrm{H}_2 \mathrm{O}_2 \\ & \mathrm{~K}_2 \mathrm{SO}_4+2 \mathrm{H}_2 \mathrm{O}+\mathrm{I}_2 \end{aligned}$$

(b) $\mathrm{H}_2 \mathrm{O}_2$ turns black PbS to white $\mathrm{PbSO}_4$ but $\mathrm{H}_2 \mathrm{O}$ does not.

$$\mathrm{PdS}+4 \mathrm{H}_2 \mathrm{O}_2 \rightarrow \mathrm{PbSO}_4+4 \mathrm{H}_2 \mathrm{O}$$

41
Subjective

Melting point, enthalpy of vaporisation and viscosity data of $\mathrm{H}_2 \mathrm{O}$ and $\mathrm{D}_2 \mathrm{O}$ is given below

H$$_2$$O D$$_2$$O
Melting point/K 373.0 374.4
Enthalpy of vaporisation at (373 K)/kJ mol$$^{-1}$$ 40.66 41.61
Viscosity/centipoise 0.8903 1.107

On the basis of this data explain in which of these liquids intermolecular forces are stronger?

Explanation

Given that,

H$$_2$$O D$$_2$$O
Melting point/K 373.0 374.4
Enthalpy of vaporisation at (373 K)/kJ mol$$^{-1}$$ 40.66 41.61
Viscosity/centipoise 0.8903 1.107

From this data, it is concluded that the values of melting point, enthalpy of vaporisation and viscosity depend upon the intermolecular forces of attraction. Since, their values are higher for $\mathrm{D}_2 \mathrm{O}$ as compared to those of $\mathrm{H}_2 \mathrm{O}$, therefore, intermolecular forces of attraction are stronger in $\mathrm{D}_2 \mathrm{O}$ than in $\mathrm{H}_2 \mathrm{O}$.