The Cedars is an area in Northern California with a chain of highly alkaline springs resulting from CO₂-charged meteorological water interacting with a peridotite body. Serpentinization resulting from this interaction at depth leads to the sequestration of various carbonate minerals into veins accompanied by a release of Ca²⁺ and OH^- enriched water to the surface, creating an environment which promotes rapid precipitation of CaCO₃ at surface springs. This environment enables us to apply the recently developed Δ₄₇-Δ₄₈ dual clumped isotope analysis to probe kinetic isotope effects (KIEs) and timescales of CO₂ transformation in a region with the potential for geological CO₂ sequestration. We analyzed CaCO₃ recovered from various localities and identified significant kinetic fractionations associated with CO₂ absorption in a majority of samples, characterized by enrichment in Δ₄₇ values and depletion in Δ₄₈ values relative to equilibrium. Surface floes exhibited the largest KIEs (ΔΔ­₄₇: 0.163‰, ΔΔ­₄₈: -0.761‰). Surface floe samples begin to precipitate out of solution within the first hour of CO₂ absorption, and the dissolved inorganic carbon (DIC) pool requires a residence time of >100 hours to achieve isotopic equilibria. The Δ₄₈/Δ₄₇ slope of samples from the Cedars (-3.223±0.519; 1 SE) is within the range of published theoretical values designed to constrain CO₂ hydrolysis-related kinetic fractionation (-1.724 to -8.330). The Δ₄₇/δ¹⁸O slope (-0.009±0.001) and Δ₄₇/δ¹³C slope (0.009±0.001) are roughly consistent with literature values reported from a peridotite in Oman of -0.006±0.002 and -0.005±0.002, respectively. The consistency of slopes in the multi-isotope space suggests the Δ₄₇-Δ₄₈ dual carbonate clumped isotope framework can be applied to study CO₂-absorption processes in applied systems, including sites of interest for geological sequestration.