Q.a. Define entropy. A swimmer coming out from a pool is covered with a film of water weighing about 18g. How much heat must be supplied to evaporate this water at 298K. Calculate the internal energy of vaporization at 298K. OR b. Calculate the lattice enthalpy of Na+Cl- by Born Haber cycle.
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Start your 14-day free trial to unlock the full solution →(a) Entropy measures disorder; using the molar enthalpy of vaporization of water, 1 mole (18 g) needs about 44.0 kJ to evaporate, and subtracting the work term gives an internal energy of vaporization of about 41.5 kJ. (b) A Born–Haber cycle sums sublimation, ionization, bond dissociation, electron-gain and formation enthalpies to back out the lattice enthalpy of NaCl, about −787 kJ/mol.
(a) Entropy and evaporation of water
Entropy (S) is a thermodynamic state function that measures the degree of disorder or randomness of a system; a more disordered state has higher entropy. For a reversible process at constant temperature, .
Mass of water , molar mass , so .
Using the standard enthalpy of vaporization of water near room temperature, at 298 K:
Internal energy of vaporization: since (liquid → gas, mol),
(b) OR — Lattice enthalpy of NaCl by Born–Haber cycle
By Hess's law, the enthalpy of formation of NaCl(s) from its elements can be broken into steps:
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