At the temperature T( ~K ) for the reaction X₂ O ₄(l) 2 X O ₂(g) U=x ~kJ ~mol ⁻¹ , S=y JK ⁻¹ ~mol ⁻¹ . Gibbs energy change for the reaction is (Assume X₂ O ₄, X₂ are ideal gases) U=x ~kJ ~mol ⁻¹, S=y JK ⁻¹ ~mol ⁻¹

Step-by-step solution

But, H=U+p V or H=U+n R T From equation (i) and (ii) we get G= U+ n R T-T S But, for given reaction. n=2, U=1000 J / mol and S=y ~J ~K ⁻¹ ~mol ⁻¹ aligned G & =1000 x+2 R T-y T & G=1000 x+T(2 R-y) J mol ⁻¹ aligned