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We study Coulomb blockade effects in the thermodynamic quantities of a weaklydisordered metallic grain coupled to a metallic lead by a tunneling contactwith a large conductance $g_T$. We consider the case of broken time-reversalsymmetry and obtain expressions for both the {\em ensemble averaged} amplitudeof the Coulomb blockade oscillations of the thermodynamic potential and thecorrelator of its {\em mesoscopic fluctuations} for a finite mean level spacing$\delta$ in the grain. We develop a novel method which allows for an exactevaluation of the functional integral arising from disorder averaging. Theresults and the method are applicable in the temperature range $\delta \ll T\ll E_C$.Comment: 18 pages, 3 figures (revised version

Coulomb blockade in metallic grains at large conductance