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Specific heat, dc- and ac-magnetic susceptibility are reported for a largesingle crystal of PrOs$_4$Sb$_{12}$ and, after grinding, its powder. The roomtemperature effective paramagnetic moment of the crystal was consistent withthe Pr$^{3+}$ ionic configuration and full occupancy of the Pr-sublattice. Thecrystal showed two distinct anomalies in the specific heat and an overalldiscontinuity in $C/T$ of more than 1000 mJ/K$^2$mol. The upper transition (at$T_{c1}$) was rounded, in an agreement with previous reports. The anomaly at$T_{c2}$ was very sharp, consistent with a good quality of the crystal. Weobserved a shoulder in $\chi$' and two peaks in $\chi$'' below $T_{c1}$.However, there were no signatures in $\chi$' of the lower temperaturetransition. PrOs$_4$Sb$_{12}$ is extremely sensitive to grinding, whichsuppresses the upper superconducting transition in both the specific heat andmagnetic susceptibility. $\Delta C/T_{c}$ was reduced to 140 mJ/K$^2$ mol inthe powdered sample. Existing data on ground, polished, and sliced crystalssuggests the existence of a length scale of order 100 $\mu$, characterizing thehigher temperature superconducting phase.

On the nature of two superconducting transitions in the specific heat of PrOs$_4$Sb$_{12}$: Effects of crystal grinding