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We present an analysis of the relationship between molecular gas and currentstar formation rate surface density at sub-kpc and kpc scales in a sample of 14nearby star-forming galaxies. Measuring the relationship in the bright, highmolecular gas surface density ($\Shtwo\gtrsim$20 \msunpc) regions of the disksto minimize the contribution from diffuse extended emission, we find anapproximately linear relation between molecular gas and star formation ratesurface density, $\nmol\sim0.96\pm0.16$, with a molecular gas depletion time$\tdep\sim2.30\pm1.32$ Gyr. We show that, in the molecular regions of ourgalaxies there are no clear correlations between \tdep\ and the free-fall andeffective Jeans dynamical times throughout the sample. We do not find strongtrends in the power-law index of the spatially resolved molecular gas starformation law or the molecular gas depletion time across the range of galacticstellar masses sampled (\mstar $\sim$$10^{9.7}-10^{11.5}$ \msun). There is atrend, however, in global measurements that is particularly marked for low massgalaxies. We suggest this trend is probably due to the low surface brightnessCO, and it is likely associated with changes in CO-to-H2 conversion factor.

CARMA Survey Toward Infrared-bright Nearby Galaxies (STING) II: Molecular Gas Star Formation Law and Depletion Time Across the Blue Sequence