JEE MAIN - Chemistry (2021 - 25th July Morning Shift - No. 21)
Explanation
The enthalpy of sublimation is the total amount of energy required to convert a solid directly into a gas. This can be calculated by summing the enthalpy of fusion (solid to liquid) and the enthalpy of vaporization (liquid to gas). Mathematically, this relationship is represented as:
$$ \Delta H_{\text{sublimation}} = \Delta H_{\text{fusion}} + \Delta H_{\text{vaporization}} $$
Given:
Enthalpy of fusion, $$\Delta H_{\text{fusion}} = 2.8 \, \text{kJ mol}^{-1}$$
Enthalpy of vaporization, $$\Delta H_{\text{vaporization}} = 98.2 \, \text{kJ mol}^{-1}$$
Substitute these values into the equation:
$$ \Delta H_{\text{sublimation}} = 2.8 \, \text{kJ mol}^{-1} + 98.2 \, \text{kJ mol}^{-1} = 101.0 \, \text{kJ mol}^{-1} $$
Therefore, the enthalpy of sublimation of the substance (X) is approximately 101 kJ mol$$-1$$.
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