In internal combustion (IC) engines, the flame-wall quenching phenomenon is a key factor in determining emissions of unburned hydrocarbons and combustion efficiency. Due to steep thermal gradients, short time scales, and uncertainties in assessing thermodynamic properties, quenching distance prediction is still difficult despite its practical significance. In order to increase the precision of quenching distance predictions, a modified model was developed in this study. First, laminar burning velocity of Stoichiometric premixed methane flame were calculated using the CANTERA software package with the detailed chemical mechanism GRIMECH 3.0, and the results were validated against the experimental measurements showing excellent agreement with a maximum deviation of only 0.68%. Particularly when it came to forecasting wall heat flux and quenching distance, the present model showed noticeably better agreement with experimental measurements. It was observed that with a more accurate evaluation of the thermodynamic properties, the maximum error in calculating the flame quenching distance was reduced from 12.6% to 8.9%. The findings demonstrated that with an increase in the wall temperature from 300 K to 500 K, results in a greater wall heat flux and a shorter quenching distance from 0.2 mm to 0.13 mm. All things considered, the suggested method offers a more trustworthy framework for simulating flame quenching and offers insightful information for enhancing engine combustion efficiency and lowering pollution emissions.