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Match the following {:("(i) Entropy of ...

Match the following
`{:("(i) Entropy of vapourisation ","(a) decreases"),("(ii) K for spontaneous process positive","(b) is always "),("iii Crystalline solid state ","(c) lowest entropy "),("(iv)" DeltaU " in adiabatic expansion of ideal gas ","(d)" (DeltaH_("vap"))/(T_(b))):}`

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The correct Answer is:
`(i)-(b),(d),(ii)-(b),(iii)-(c ) ,(iv)-(a)`
(i)Entropy of vaporisation is always `+ve` and equal to `DeltaH_(vap) // T_(b)` . Hence, (i) `rarr `(b), (d).
(ii) `Delta_(r)G^(@) = - RT ln K `. If K is `+ve` , `Delta_(r)G^(@) = -ve` ad reaction is spontaneous . Hence, (ii) `rarr`(b).
(iii) Crystalline solid state has lowest entropy. Hence , (iii) `rarr` (c )
(iv) During adiabatic expansion of an ideal gas , `q=0`. Hence, `DeltaU = q+w` gives`DeltaU = w ,` i.e., work done is at the cost of internal energy which decreases . Hence, `(iv) rarr (a)`.
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