List of top Transport Phenomena and Rate Processes Questions on Solution thermodynamics asked in GATE MT

For a regular solution, which one of the following statements is correct?
(\(H_{mix}\) is the enthalpy of mixing and \(S_{mix}\) is the entropy of mixing)
For the following reaction between methane and stoichiometric air having composition 20 vol.% \(O_2\) and 80 vol.% \(N_2\), the estimated adiabatic flame temperature (rounded off to one decimal place) is ________ Kelvin.
\[ CH_4(g) + 2O_2(g) \to CO_2(g) + 2H_2O(g) \]
Given: \(\Delta H = -850\) kJ/mol at 298 K. Assume the specific heat at constant pressure (\(C_p\)) for each reactant and product is 50 J/mol-K and is independent of temperature.