Consider the following statements:
$(A)$ Entropy of a perfect crystalline solid at absolute zero approaches zero.
$(B)$ For spontaneity of a reaction at constant temperature and pressure, $T\Delta S > \Delta H$ (where $\Delta H$ is positive).
Identify the correct answer from the options given below.

  • A
    Both ‘$A$’ and ‘$B$’ are true
  • B
    ‘$A$’ is true but ‘$B$’ is false
  • C
    Both ‘$A$’ and ‘$B$’ are false
  • D
    ‘$A$’ is false but ‘$B$’ is true

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The heat of vaporisation and heat of fusion of $H_2O$ are $540 \, cal/g$ and $80 \, cal/g$. The ratio of $\frac{\Delta S_{vap}}{\Delta S_{fusion}}$ for water is :-

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