  The heat capacity of pure ^3He in low density aerogel is measured at 22.5
bar. The superfluid response is simultaneously monitored with a torsional
oscillator. A slightly rounded heat capacity peak, 65 mu K in width, is
observed at the ^3He-aerogel superfluid transition, T_{ca}. Subtracting the
bulk ^3He contribution, the heat capacity shows a Fermi-liquid form above
T_{ca}. The heat capacity attributed to superfluid within the aerogel can be
fit with a rounded BCS form, and accounts for 0.30 of the non-bulk fluid in the
aerogel, indicating a substantial reduction in the superfluid order parameter
consistent with earlier superfluid density measurements.
