Abstract: The four coefficients A,B,C and D of the correlation of ideal gas heat capacity,C_p~0=A+BT+CT~2+DT~3,have been determined for 435 substances by the method of least squares with a digital computer onthe basis of the recently published C_p~O data during the period of 1968 to 1978.The average percent devia-tion of the calculated values of C_p~O from the experimental values is 0.160.The substances have been selec-ted according to their relative importance in fundamental chemical industries.For part of the substancesselected,there are so far still no heat-capacity correlations,and for the others,the already existing cor-relations are not based on recently published experimental C_P~O,data.