Account for the following:
(i) Why does real crystal have more entropy than an ideal crystal?
(ii) Why the entropy of a pure substance is taken as zero at absolute zero?
(iii) Why the entropy of the universe is continuously increasing?


(i) An ideal crystal has a perfect order of its constituent particles while a real crystal has less order because of some defects. Therefore, a real crystal has more entropy than an ideal crystal.

(ii) Because at 0K, there is a complete order in all the crystals and no randomness, therefore, entropy is taken as zero.

(iii) Because, in the universe, almost all processes are spontaneous and for all spontaneous processes, there is an increase in entropy.

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What are important consequences of lattice enthalpies?


Important consequences of lattice enthalpies:

(i) The greater the lattice enthalpy, more stable is the ionic compound.

(ii) The lattice enthalpy is greater, for ions of higher charge, and smaller radii.

(iii) The lattice enthalpies effect the solubilities of ionic compounds.

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Predict the change in entropy for the system in which the following physical changes occur:
(i) Dissolving cream in a cup of coffee.
(ii) The beating of an egg for an omellete.
(iii) The formation of a rain drop in a cloud.
(iv) The crystallization of a metal alloy from the molten state.


Changes in entropy of the given system:
(i) Increases 

(ii) Increases  

(iii) Decreases 

(iv) Decreases

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Calculate the lattice enthalpy of MgBr2 from the given data. The enthalpy of formation of MgBr2 according to the reaction

Mg left parenthesis straight s right parenthesis space plus space Br subscript 2 left parenthesis straight l right parenthesis space space space rightwards arrow space space MgBr subscript 2 left parenthesis straight s right parenthesis semicolon space increment subscript straight f straight H to the power of 0 space equals space minus 524 space kJ space mol to the power of negative 1 end exponent
CH subscript 1 superscript 0 space for space Mg left parenthesis straight s right parenthesis space space rightwards arrow space space Mg to the power of 2 plus end exponent left parenthesis straight g right parenthesis space plus space 2 straight e to the power of minus space equals space plus 2187 space kJ space mol to the power of negative 1 end exponent
increment straight H subscript 3 superscript 0 space for space Br subscript 2 left parenthesis straight l right parenthesis space space rightwards arrow space space space space Br subscript 2 left parenthesis straight g right parenthesis space equals space 31 space kJ space mol to the power of negative 1 end exponent
increment straight H subscript 4 superscript 0 space for space Br subscript 2 left parenthesis straight g right parenthesis space equals space 2 space Br left parenthesis straight g right parenthesis space equals space 193 space kJ space mol to the power of negative 1 end exponent
increment straight H subscript 5 superscript 0 space for space Br left parenthesis straight g right parenthesis space plus space straight e to the power of minus left parenthesis straight g right parenthesis space space rightwards arrow space space Br to the power of minus space equals space minus 331 space kJ space mol to the power of negative 1 end exponent
increment straight H subscript 6 superscript 0 space for space Mg to the power of 2 plus end exponent left parenthesis straight g right parenthesis space plus 2 Br to the power of minus left parenthesis straight g right parenthesis space space rightwards arrow space space space MgBr subscript 2 left parenthesis straight s right parenthesis space equals space ?


Using Born-Haber cycle of MgBr2,


Substituting the values, we have,
 = -524 - 148 - 2187 - 31 - 193 - 2 (-331)
 = -2421 kJ mol-1

Hence lattice enthalpy  = 

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Which of the following reaction will have a greater change in entropy? Explain.
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Entropy increases in both the reactions. This is because the number of gaseous particles increases in both the cases.
In reaction (i), all the products are molecules whereas, in reaction (ii), one-half of the particles are atoms which have no possibility of molecular vibrations. Hence reaction (i) has a greater change in entropy.
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