Densities, Apparent Molar Volume, Expansivities, Hepler’s Constant, and Isobaric Thermal Expansion Coefficients of the Binary Mixtures of Piperazine with Water, Methanol, and Acetone at T = 293.15 to 328.15 K

Table 5

Values of the limiting apparent molar volume () along with the S_v and B_v parameters to be used in the Redlich–Mayer equation for each of the 3 binary systems as a function of temperature.

Temperature (K)	293.15	298.15	303.15	308.15	313.15	318.15	323.15	328.15
System (piperazine + water)
10^6 ×  (m^3·mol^−1)	—	83.78	83.94	84.11	84.30	84.49	84.71	85.07
10^6 × Sv (m^3·kg^1/2·mol^−3/2)	—	1.65	1.61	1.60	1.57	1.56	1.53	1.39
10^6 × Bv (m^3·kg·mol^−2)	—	−0.40	−0.39	−0.39	−0.38	−0.37	−0.36	−0.33
System (piperazine + methanol)
10^6 ×  (m^3·mol^−1)	72.57	72.75	72.99	73.27	73.57	74.01	75.48	77.05
10^6 × Sv (m^3·kg^1/2·mol^−3/2)	3.72	3.69	3.63	3.47	3.45	3.38	2.58	1.67
10^6 × Bv (m^3·kg·mol^−2)	−0.31	−0.29	−0.27	−0.22	−0.21	−0.20	−0.05	0.11
System (piperazine + acetone)
10^6 ×  (m^3·mol^−1)	102.68	104.72	105.89	111.82	117.01	121.20	129.50	—
10^6 × Sv (m^3·kg^1/2·mol^−3/2)	−9.60	−11.54	−12.17	−19.19	−24.51	−27.62	−37.74	—
10^6 × Bv (m^3·kg·mol^−2)	1.26	1.68	2.14	4.66	6.21	6.67	10.19	—