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The kinematics of molecular gas are crucial for setting the stage for starformation. One key question related to the kinematic properties of gas is howthey depend on the spatial scale. We aim to describe the CO spectra, velocitydispersions, and especially the linewidth-size relation, of molecular gas fromcloud (parsec-) scales to kiloparsec scales in a complete region within theMilky Way disk. We utilise the census of molecular clouds within 2 kpc from ourearlier work, together with CO emission data for them from the literature. Westudy the kinematics and the Larson's relations for the sample of individualclouds. We also mimic a face-on view of the Milky Way and analyse thekinematics of the clouds within apertures of 0.25-2 kpc in size. In this way,we describe the scale-dependency of the CO gas kinematics and Larson'srelations. We describe the spectra of CO gas at cloud scales and in aperturesbetween 0.25-2 kpc in our survey area. The spectra within the apertures arerelatively symmetric but show non-Gaussian high-velocity wings. Atcloud-scales, our sample shows a linewidth-size relation\sigma_v=1.5*R^{0.3\pm0.1} with a large scatter. The mass-size relation in thesample of clouds is M_{CO}= 794*R^{1.5\pm0.5}. The relations are also presentfor the apertures at kpc-scales. A suggestive dependency on galacticenvironment is seen, with apertures closer to the Galactic centre and theSagittarius spiral arm having slightly higher velocity dispersions. We explorethe possible effect of a diffuse component in the survey area, and find thatsuch a component would widen the CO spectra and could flatten thelinewidth-size relation. Understanding the nature of the possible diffuse COcomponent and its effects on observations is crucial for connecting Galacticand extragalactic data.

Bird's eye view of molecular clouds in the Milky Way: II. Cloud kinematics from sub-pc to kpc scales