Research Article

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 3

Densities (kg/m3) of the binary mixtures (piperazine + water), (piperazine + methanol), and (piperazine + acetone) as a function of the molality and temperature at atmospheric pressure. A global uncertainty calculation was performed on each point and the corresponding values are given in parentheses.

Temperature (K)293.15298.15303.15308.15313.15318.15323.15328.15
Molality (mol/kg) of piperazineBinary system densities (kg/m3) with global uncertainty (kg/m3) in parentheses

System (piperazine + water) (Muhammad et al. [11])
0.9838998.3996.9995.2993.4991.4989.2986.8
3.0226999.4997.9996.3994.4992.4990.1987.8
6.41381001.3999.8998.0996.1994.0991.7989.3

System (piperazine + methanol) (this work)
0.6978805.8 (0.02)801.2 (0.01)796.4 (0.02)791.3 (0.007)786.5 (0.02)781.7 (0.01)776.6 (0.01)771.3 (0.01)
1.4000817.4 (0.04)812.9 (0.02)808.2 (0.03)803.5 (0.01)798.6 (0.02)793.6 (0.01)788.4 (0.02)783.2 (0.01)
2.2148829.6 (0.03)825.2 (0.02)820.5 (0.03)815.7 (0.02)810.9 (0.02)805.9 (0.02)800.8 (0.02)795.6 (0.02)
3.0544840.7 (0.04)836.3 (0.02)831.7 (0.04)827.0 (0.04)822.1 (0.03)817.2 (0.03)812.1 (0.03)806.9 (0.02)
3.7151849.0 (0.04)844.6 (0.02)840.0 (0.04)835.3 (0.04)830.5 (0.04)825.6 (0.03)820.5 (0.04)815.4 (0.02)
5.1007862.6 (0.05)858.2 (0.03)853.7 (0.04)849.0 (0.05)844.5 (0.04)839.6 (0.04)834.6 (0.04)829.5 (0.03)
5.9003870.3 (0.05)866.0 (0.03)861.5 (0.05)856.9 (0.05)852.1 (0.05)847.2 (0.04)842.2 (0.05)837.1 (0.04)
7.4725881.4 (0.06)877.1 (0.03)872.6 (0.05)868.0 (0.06)863.2 (0.06)858.4 (0.05)853.4 (0.06)848.3 (0.04)
9.2198893.9 (0.06)889.6 (0.04)885.2 (0.05)880.6 (0.06)875.8 (0.06)871.0 (0.05)866.1 (0.07)861.1 (0.05)
14.007912.6 (0.06)908.4 (0.05)903.9 (0.06)899.3 (0.06)894.6 (0.07)889.6 (0.05)884.2 (0.07)879.3 (0.06)

System (piperazine + acetone) (this work)
0.3478792.4 (0.01)786.5 (0.005)780.8 (0.01)774.9 (0.006)768.8 (0.002)762.7 (0.002)756.3 (0.002)
0.8416796.7 (0.02)791.0 (0.02)785.2 (0.02)779.3 (0.02)773.3 (0.008)767.2 (0.01)760.9 (0.01)
1.0951799.3 (0.03)793.5 (0.02)787.7 (0.03)781.6 (0.02)775.5 (0.01)769.1 (0.02)762.7 (0.02)
1.3359802.3 (0.03)797.0 (0.03)790.7 (0.03)784.6 (0.03)778.4 (0.02)772.1 (0.02)765.6 (0.02)
1.8834807.5 (0.03)802.0 (0.04)795.9 (0.03)789.9 (0.03)784.1 (0.02)778.2 (0.03)772.1 (0.03)