Calculate \({ \triangle }G^{ \ominus }\)for the reaction
4NH₃(g) + 5O₂(g)\(\longrightarrow \) 4NO(g) + 6H₂O(l)
given that \({ \triangle }G^{ \ominus }\) for the formation of NH₃ (g), NO(g) AND H₂O (l) are - 16.8 KJ mol^-1 +86.7 KJ mol^-1 and -237.2KJ mol^-1 respectively. predict feaibility of reaction under the conditions.

Determine whether or not it is possible for sodium to reduce aluminium oxide to aluminium at 298 K.
\(\triangle _{ f }G^{ \ominus } \ { Al }_{ 2 }{ O }_{ 3 }(s)=-1582 \ KJ \ { mol }^{ -1 };\triangle _{ f }G^{ \ominus }Na_{ 2 }O(s)=-377 \ KJ \ { mol }^{ -1 }\)

Calculate \(\triangle _{ r }G^{ \ominus }\) for conversion of oxygen to ozone, 3/2 O₂(g) \(\rightarrow \) O₃(g) at 298 K_p. If K_p for this conversion is 2.47 x 10^-29.

Define the following:
(i) First law of thermodynamics.
(ii) Standard enthalpy of formation

(a) Why is the entropy of a substance taken as zero at OK?
(b) Calculate\(\triangle G\) and\(\triangle G^{ \ominus }\) for the reaction
\(A+B\rightleftharpoons C+D\)
at 27^oC. Equilibrium constant (K) for this reaction = 10

When 20.0 g of ammonium nitrate (NH₄NO₃) is dissolved in 125 g of water in a coffee cup calorimeter. (Treat heat capacity of water as the heat capacity of the calorimeter and its contents).

Sodium carbonate, Na₂ CO₃ can be obtained by heating sodium hydrogen carbonate, NaHCO₃ as 2 NaHCO₃(s) \(\longrightarrow \) Na₂CO₃ (s) + CO₂(g).The essential data are
NaHCO₃(s)  Na₂CO₃ (s) Na₂(g) H₂O(g)

Calculate the temperature above which  NaHCO₃ decomposes to give products at 1 bar.

Graphically show the total work done in an expansion when the state of an ideal the state of an ideal gas is changed reversibly and isothermally from(p_i,V_i) to (p_f,V_f).  With the help of a pV plot compare the work done in the above case with that carried out against a constant pressure p_f .