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Thermodynamics question

2023 · Shift 2 · Q15
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  5. /2023 · Shift 2 · Q15

Thermodynamics question

2023 · Shift 2 · Q15

JEE AdvancedChemistryThermodynamicsNumerical+3 / −1
The entropy versus temperature plot for phases α\alphaα and β\betaβ at 1 bar pressure is given. STS_{\mathrm{T}}ST​ and S0S_0S0​ are entropies of the phases at temperatures T\mathrm{T}T and 0 K0 \mathrm{~K}0 K, respectively. JEE Advanced 2023 Paper 2 Online Chemistry - Thermodynamics Question 4 English Comprehension The transition temperature for α\alphaα to β\betaβ phase change is 600 K600 \mathrm{~K}600 K and Cp,β−Cp,α=1 J mol−1 K−1C_{\mathrm{p}, \beta}-C_{\mathrm{p}, \alpha}=1 \mathrm{~J} \mathrm{~mol}^{-1} \mathrm{~K}^{-1}Cp,β​−Cp,α​=1 J mol−1 K−1. Assume (Cp,β−Cp,α)\left(C_{\mathrm{p}, \beta}-C_{\mathrm{p}, \alpha}\right)(Cp,β​−Cp,α​) is independent of temperature in the range of 200 to 700 K.Cp,α700 \mathrm{~K} . C_{\mathrm{p}, \alpha}700 K.Cp,α​ and Cp,βC_{\mathrm{p}, \beta}Cp,β​ are heat capacities of α\alphaα and β\betaβ phases, respectively. The value of enthalpy change, Hβ−Hα (in Jmol−1 ), at 300 K is \text { The value of enthalpy change, } \mathrm{H}_\beta-\mathrm{H}_\alpha \text { (in } \mathrm{J} \mathrm{mol}^{-1} \text { ), at } 300 \mathrm{~K} \text { is } The value of enthalpy change, Hβ​−Hα​ (in Jmol−1 ), at 300 K is  ‾\underline{\hspace{2cm}}​.
Numerical answer
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