Enthalpy change for a reaction does not depend upon the nature of intermediate reaction steps.
42.
Heat of neutralization of a strong acid $$HA$$ and a weaker acid $$HB$$ with $$KOH$$ are $$ - 13.7$$ and $$ - 12.7\,k\,cal\,mo{l^{ - 1}}.$$ When $$1\,mole$$ of $$KOH$$ was added to a mixture containing $$1\,mole$$ each of $$HA$$ and $$HB,$$ the heat change was $$ - 13.5\,kcal.$$ In what ratio is the base distributed between $$HA$$ and $$HB.$$
44.
The pressure-volume work for an ideal gas can be calculated by using the expression $$W = - \int\limits_{{V_t}}^{{V_f}} {{P_{ex}}\,dV.} $$ The work can also be calculated from the $$PV - $$ plot by using the area under the curve within the specified limits. When an ideal gas is compressed (i) reversibly or (ii) irreversibly from volume $${V_i}$$ to $${V_f}.$$ Choose the correct option.
A
$${W_{{\text{reversible}}}} = {W_{{\text{irreversible}}}}$$
B
$${W_{{\text{reversible}}}} < {W_{{\text{irreversible}}}}$$
C
$${W_{{\text{reversible}}}} > {W_{{\text{irreversible}}}}$$
D
$${W_{{\text{reversible}}}} = {W_{{\text{irreversible}}}} + {P_{ex}}\,.\Delta V$$
In both the curves, work done on the gas is represented by the shaded area and the area under the curve is always more in irreversible compression.
Hence, $${W_{{\text{irreversible}}}} > {W_{{\text{reversible}}}}$$
45.
Dissolution of ammonium chloride in water is an endothermic reaction, yet it is a spontaneous process. This is due to the fact that
A
$$\Delta H\,\,{\text{is}}\,\, + ve,\Delta S\,\,{\text{is}}\,\, - ve$$
B
$$\Delta H\,\,{\text{is}}\,\, - ve,\Delta S\,\,{\text{is}}\,\, + ve$$
C
$$\Delta H\,\,{\text{is}}\,\, + ve,\Delta S\,\,{\text{is}}\,\, + ve\,\,$$ $${\text{and}}\,\,\Delta H < T\Delta S$$
D
$$\Delta H\,\,{\text{is}}\,\, + ve\,\,{\text{and}}\,\,\Delta H > T\Delta S$$
$$\Delta G$$ will be negative under these conditions.
46.
For a reaction : $$X \to Y + Z$$
Absolute entropies are $$X = 120\,J\,{K^{ - 1}}\,mo{l^{ - 1}},$$ $$Y = 213.8\,J\,{K^{ - 1}}\,mo{l^{ - 1}}$$ and $$Z = 197.9\,J\,{K^{ - 1}}\,mo{l^{ - 1}}.$$
What will be the entropy change at $$298\,K$$ and $$1\,atm?$$
47.
The value for $$\Delta U$$ for the reversible isothermal evaporation of $$90\,g$$ water at $$100{\,^ \circ }C$$ will be $$\left( {\Delta {H_{{\text{evap}}}}} \right.$$ of water $$ = 40.8\,kJ\,mo{l^{ - 1}},$$ $$\left. {R = 8.314\,J\,{K^{ - 1}}\,mo{l^{ - 1}}} \right)$$
48.
At what temperature liquid water will be in equilibrium with water vapour ?
$$\Delta {H_{{\text{vap}}}} = 40.73\,kJ\,mo{l^{ - 1}},$$ $$\Delta {S_{{\text{vap}}}} = 0.109\,kJ\,{K^{ - 1}}\,mo{l^{ - 1}}$$