JEE Advanced2023ChemistryThermodynamics (C)Actual
The entropy versus temperature plot for phases α and β at 1 bar pressure is given. S T and S 0 are entropies of the phases at temperatures T and 0 K , respectively. The transition temperature for α to β phase change is 600 K and C p , β - C p , α = 1 J mol - 1 K - 1 . Assume C p , β - C p , α is independent of temperature in the range of 200 to 700 K . C p , α and C p , &#
Correct answer
0
Step-by-step solution
According to Kirchhoff's law ΔH T 2 - ΔH T 1 = n × C p , β - C p , α ( T 2 - T 1 ) ΔH 600 - ΔH 300 = 1 × C p , β - C p , α ( 600 - 300 ) Now, at transition temperature, ∆ G = 0 ΔH 600 = TΔS 600 = 600 × ( 6 - 5 ) 600 - ΔH 300 = 1 × 1 × 300 ΔH 300 = 600 - 300 = 300   J   mol - 1