G =
H – T
S For spontaneous reaction,
G has to be negative. Among the given options, it is positive only when T
S >
H and both
H and
S are +ve .
G =
H – T
S For spontaneous reaction,
G has to be negative. Among the given options, it is positive only when T
S >
H and both
H and
S are +ve .
G =
H – T
S For a reaction to become spontaneous,
G must be negative. For case (a) exothermic and increasing disorder For exothermic reaction,
H = –ve and increasing disorder,
S = +ve
G = –ve –T(+ve) Thus,
G is negative for all temperature range For case (b) exothermic and decreasing disorder For exothermic reaction,
H = –ve and for decreasing disorder,
S = –ve
G = –ve – T(–ve) Thus,
G is not negative for all temperature range. For case (c) endothermic and increasing disorder. For endothermic reaction,
H = +ve and increasing disorder,
S = +ve Thus,
G is not negative for all temperature range. For case (d) endothermic and decreasing disorder For endothermic reaction,
H = +ve and decreasing disorder,
S = –ve
G = +ve – T (–ve) Thus,
G is positive for all temperature range.
We know that enthalpy of neutralization of a strong acid and a strong base is –57.33 kJ mol –1 .
Here, MgO is the weak base and HCl is a strong acid thus, a small amount of energy is used in the ionization of MgO thus, the heat of neutralization decreases.
Therefore, enthalpy of neutralization is less than – 57.33 kJ mol –1
For the reaction to be spontaneous, the total entropy of system and universe increases i.e.,
G =
H – T
S
G = –382.64 × 103 J mol –1 – (298K) (–145.6 JK –1 mol –1 ) = –382640 + 43388.8 = – 339251.2 J mol –1 = – 339.3 kJ mol –1
Work done during the expansion, W = – pdV W = –3 atm (6 dm 3 – 4 dm 3 ) = – 3 atm ( 2 dm 3 ) (1 dm 3 = 1 L) = – 3 atm × 2 L = – 6 L atm As, 1 L atm = 101.32 J W = – 6 × 101.32 J = – 607.92 J ≈ – 608 J
H 2 (g) + Br 2(g) 2HBr (g) ,
H o f = ?
H o f =
(B.E.) reactants –
(B.E.) products = (B.E.)
H–H + (B.E.)
Br–Br –2(B.E) H-Br = [433 + 192] – 2(364) kJ mol –1 = (625 – 728) kJ mol –1 = –103 kJ mol –1
As we know, q = nC
T q = 1.0 kJ = 1000 J C = 75 JK –1 mol –1 m = 100 g ⇒ Number of moles =
g mol –1 1000 =
75
T
T =
K
T = 2.4 K
Heat of formation,
H o f of a substance is the amount of heat absorbed or released when one mole of this substance is formed directly from its constituent elements.
In option (a), one mole of XeF 4 is formed from its constituent elements i.e., Xe and F 2 thus, the equation has equal value of
H o r and
H o f . In option (b), the constituent atoms should be carbon and oxygen only but the reactant used is CO thus,
H o r
H o f In option (c), the reactant used is O 3 which is again not in its element form thus,
H o r
H o f In option (d), two products are formed thus
H o r
H o f
H 2 O(s) → H 2 O(l)
H = 6.0 kJ mol –1 T = 0 + 273 K = 273 K;
S = ?
S =
=
= 21.98 JK –1 mol –1