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Calcualate Delta(f)G^(@) "for" (NH(4)Cl...

Calcualate `Delta_(f)G^(@) "for" (NH_(4)Cl,s)` at 310 K.
Given : `Delta_(f)H^(@)(NH_(4)Cl,s)=-314.5 KJ//"mol," "Delta_(r)C_(p)=0`
`S_(N_(2)(g))^(@)=192 JK^(-1), " "S_(H_(2)(g))^(@)=130.5 JK^(-1)mol^(-1),`
`S_(Cl_(2))^(@)(g) =233 JK^(-1)"mol"^(-1)," "S^(@)NH_(4)Cl(s)=99.5 JK_(1)"mol"^(-1)`
All given data are at 300K.

A

`-198.56 kJ//mol`

B

`-426.7 kJ//mol`

C

`-202.3 kJ//mol`

D

None of these

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The correct Answer is:
A
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Calculate Delta_(r)G^(@) for (NH_(4)Cl,s) at 310K. Given : Delta_(r)H^(@)(NH_(4)Cl,s) =-314 kj/mol, Delta_(r)C_(p)=0 S_(N_(2)(g))^(@)=192 JK^(-1mol^(-1)),S_(H_(2)(g))^(@)=130.5JK^(-1)mol^(-1), S_(Cl_(2)(g))^(@)=233JK mol^(-1), S_(NH_(4)Cl(s))^(@)=99.5JK^(-1)mol^(-1) All given data at 300K

Calculate the magnitude of standard free energy of formation of ammonium chloride at 25^(@)C (approximate integer in Kcal mol^(-1) ), the equation showing the formation of NH_(4)CI from its elements is 1/2NH_(4)(g) + 2H_(2)(g) + 1/2CI_(2)(g) rarr NH_(4)CI(s) For NH_(4)CI, DeltaH_(f)^(@) is -313 KJ mol^(01) , Also given that " "S_(N_(2))^(@) = 191.5 JK^(-1) mol^(-1)" "S_(N_(2))^(@) = 130.6 JK^(-1) mol^(-1) " "S_(CI_(2))^(@) = 223.0 JK^(-1) mol^(-1) " "S_(NH_(4)CI)^(@) = 94.6 JK^(-1)mol^(-1)

Calculate Delta_(r)G^(c-) of the reaction : Ag^(o+)(aq)+Cl^(c-)(aq) rarr AgCl(s) Given :Delta_(f)G^(c-)._(AgCl)=-109kJ mol ^(-1) Delta_(f)G^(c-)_((Cl^(c-)))=-129k J mol ^(-1) Delta_(f)G^(c-)._((Ag^(o+)))=-77 kJ mol ^(-1)

The value of log_(10)K for a reaction A hArr B is (Given: Delta_(f)H_(298K)^(Theta) =- 54.07 kJ mol^(-1) , Delta_(r)S_(298K)^(Theta) =10 JK^(=1) mol^(-1) , and R = 8.314 J K^(-1) mol^(-1)

The approx value of K for a reaction AhArrB is : Given Delta_(r)H_(298K)^(@)=-54.07KJmol^(-1) , Delta_(r)S_(298K)^(@)=10Jk^(-1)mol^(-1) and R=8.314JK^(-1)mol^(-1) .

Using Delta_(f)H^(@) and S_(m)^(@) calculate the standard Gibbs energy of formation, Delta_(f)G^(@) for each following : (a) CS_(2)(l) (b) N_(2)H_(4)(l) Delta_(f)H^(@)(CS_(2)) = 89.70 kJ "mol"^(-1), Delta_(r)S^(@)(CS_(2)) = 151.34 J K^(-1) "mol"^(-1) Delta_(f)H^(@)(N_(2)H_(4)) = 50.63 kJ "mol"^(-1) , Delta_(r)S^(@)N_(2)H_(2) = 121.21 J K^(-1) "mol"^(-1) .

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