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A mathematical model was developed for the extracts obtained from Syzygium aromaticum and Cinnamomum cassia with different particle size, solvent–solid ratios on extraction yield. Different particle sizes in the range of 2.8mm to ⩽0.5mm were employed and maximum extraction efficiency was achieved with particles of size ⩽0.5mm. Among the solvent–solid ratios (20:1, 30:1, 40:1 and 50:1) ratio of 50:1 showed higher extraction yield. In the extraction kinetics, higher effective diffusivity value of 36.01×10⁻¹⁰m²/s for S. aromaticum and 26.78×10⁻¹⁰m²/s for C. cassia were achieved. Antioxidant values were determined and extracts prepared from ethanol showed higher scavenging activities for S. aromaticum and C. cassia as 78% and 85% respectively. Maximum phenolic content of 1.6 and 12.4mg GAE/g of sample were achieved for S. aromaticum and C. cassia by hexane and water respectively.