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We study the thermodynamic properties and speed of sound in a free energy evolution of quark–gluon plasma with one loop correction factor in the mean-field potential. The values of the thermodynamic properties like pressure, entropy and specific heat are calculated for a range of temperatures. The results agree with the recent lattice results. The speed of sound calculated with one loop correction is found to be \(C_{s}^2=0.3\) at this parameter \(\gamma _{q}=1/8\), and \(\gamma _{g}= 8 \gamma _{q}\) where the largest stable droplet is formed. The value agrees asymptotically with lattice result of speed of sound. It means loop correction contributes to the value of speed of sound.

Speed of sound in a quark–gluon-plasma with one loop correction in mean-field potential