  We study energy gaps of the $\nu=7/2$ and $\nu=5/2$ fractional quantum Hall
states in a series of two-dimensional electron gases containing alloy disorder.
We found that gaps at these two filling factors have the same suppression rate
with alloy disorder. The dimensionless intrinsic gaps in our alloy samples
obtained from the model proposed by Morf and d'Ambrumenil are consistent with
numerical results, but are larger than those obtained from experiments on
pristine samples published in the literature. The disorder broadening parameter
has large uncertainties. However, a modified analysis relying on shared
intrinsic gaps yields consistent results for both the $\nu=5/2$ and $7/2$
fractional quantum Hall states and establishes a linear relationship between
the disorder broadening parameter and alloy concentration. Furthermore, we find
that we can separate contributions to the disorder broadening of the long-range
and short-range scattering.
