We propose an algebraic form for the density of states of quarks and gluons in a Quark-Gluon Plasma (QGP) fireball in quasi-equilibrium with a hadronic medium as $rho(k)= frac {alpha}{k} + {beta}k + {delta}k^{2}$, and determine the parameters $alpha$, $beta$ and $delta$ using Lattice Gauge results on the velocity of sound in QGP. The behaviour of the resulting $rho(k)$ can be easily compared with the thermodynamic data on QGP that is expected from LHC and other RHIC experiments. Our numerical result shows a linear rise of the value of $rho(k)$ for $ksim T approx 160 to 180 MeV$, which is significant, and throws light on the evolution of the QGP phase.
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