Study of the primary anisotropies of the cosmic microwave background (CMB)
can be used to determine the cosmological parameters to a very high precisi
on. The power spectrum of the secondary CMB anisotropies due to the thermal
Sunyaev-Zeldovich effect (SZE) by clusters of galaxies can then be studied
, to constrain more cluster-specific properties (like gas mass). We show th
e SZE power spectrum from clusters to be a sensitive probe of any possible
evolution (or constancy) of the gas mass fraction. The position of the peak
of the SZE power spectrum is a strong discriminatory signature of differen
t gas mass fraction evolution models. For example, for a flat universe, the
re can be a difference in the l-values (of the peak) of as much as 2500 bet
ween a constant gas mass fraction model and an evolutionary one. Moreover,
observational determination of the power spectrum, from blank-sky surveys,
is devoid of any selection effects that can possibly affect targeted X-ray
or radio studies of gas mass fractions in galaxy clusters.