Let `f:R rarr R` be a function defined by `f(x+1)=(f(x)-5)/(f(x)-3), forall x in R.` Then, which of the following statements is/are true?

Options

A. `DeltaU = 0` for combustion of `C_(2)H_(6)`(g) in a sealed rigid adiabatic container
B. `Delta_(f)H^(@)` (S, monoclinic) `ne 0`
C. If dissociation energy of `CH_(4)(g)` is `1656 kJ//"mol"` and `C_(2)H_(6)` (g) is 2812 kJ/mol, then value of C-C bond energy will be 328 kJ/mol
D. If `DeltaH_(f)(H_(2)O,g)=-242 " kJ"//"mol", DeltaH_("vap")(H_(2)O,l)=44 " kJ"//"mol"`
then, `Delta_(f)H^(@)(OH^(-),aq.)` will be -142 kJ/mol

Answer

A:C

Explanation

`(a) DeltaE=q+W=0+0=0`
`(b) (Delta_(F)H^(@))` (S, rhombic) = 0
`(c )(C-C)+(C-H)=2812`
`(C-C)=2812-6xx(1656)/(4)=328`
`(d) H_(2)O(l)rarrH_(2)O(g)`
`44=-(Delta_(F)H)_(H_(2)O(l))-242`
`(Delta_(F)H)_(H_(2)O(l))=-286`
`H^(+)(aq)+OH^(-)(aq)rarrH_(2)O(l)`
`-57.3 =- 286 -4 (Delta_(f)H)_(OH^(-))(aq)(Delta_(f)H)_(OH^(-))=-228.7`