Abstract: We have obtained an equation of state at ok by use of the relation between the differential expression and an empirical interpalation expression of the Gruneisen coefficient.We have calculated Hugoniot curves for pb,w,Mo,Fe,Al, the results are in satisfactory agreement with experiments (up to about 5 TPa).The cold pressures abtained are in good agreement with those from From-Mayer potential and improved Morse potential in the range 1≤ρ/ρ_o ≤ 1.5.The two integrals used in calculating cold pressure and cold energy are tabularted