Vaporization molar heat

Vaporization, molar heat of, 66 alkali metals, 94 alkaline earths, 381 copper, 67 chlorine, 67 inert gases, 105 metals, 305 neon, 67... 

Boiling point Melting point Molar heat capacity Molar heat of vaporization Molar heat of fusion Viscosity... 

An overview of some basic mathematical techniques for data correlation is to be found herein together with background on several types of physical property correlating techniques and a road map for the use of selected methods. Methods are presented for the correlation of observed experimental data to physical properties such as critical properties, normal boiling point, molar volume, vapor pressure, heats of vaporization and fusion, heat capacity, surface tension, viscosity, thermal conductivity, acentric factor, flammability limits, enthalpy of formation, Gibbs energy, entropy, activity coefficients, Henry s constant, octanol—water partition coefficients, diffusion coefficients, virial coefficients, chemical reactivity, and toxicological parameters. 

The constant-molar-overflow assumption represents several prior assumptions. The most important one is equal molar heats of vaporization for the two components. The other assumptions are adiabatic operation (no heat leaks) and no heat of mixing or sensible heat effects. These assumptions are most closely approximated for close-boiling isomers. The result of these assumptions on the calculation method can be illustrated with Fig. 13-28, vdiich shows two material-balance envelopes cutting through the top section (above the top feed stream or sidestream) of the column. If L + i is assumed to be identical to L 1 in rate, then 9 and the component material balance... 

In Eq. (8-35), Afvap is the molar energy of vaporization, and AH p is the molar heat of vaporization. In effect, -it is a measure of the energy required to break some of the solvent-solvent forces, whereas ced is a measure of the energy required to... 

The y-coordinale in Figure 9.2b is In P, and the x-coordinate is 1/T. The slope, which is a negative quantity, turns out to be — AHvap/R, where AHnv is the molar heat of vaporization and R is the gas constant, in the proper units. Hence the equation of the straight line in Figure 9.2b is... 

Suppose we wish to evaporate one mole of water, as expressed in equation (7). One mole contains the Avogadro number of molecules (6.02 X 1023) and has a weight of 18.0 grams. Using a calorimeter, as you did in Experiment 5, you could measure the quantity of heat required to evaporate one mole of water. It is 10 kilocalories per mole. This value is called the molar heat of vaporization of water. This is the energy required to separate 6.02 X 1023 molecules of water from one another, as pictured in Figure 5-1. 

When water vapor condenses to liquid water, the molecules release the energy it took to separate them. A mole of gaseous water, therefore, will release 10 kilocalories of heat when condensed to liquid water at the same temperature. The amount of heat released is numerically equal to the molar heat of vaporization. 

Table 5-1. the normal boiling points and molar heats of vaporization... 

The heat accompanying the phase change (2) is 1.44 kcal/mole. This is much less than the molar heat of vaporization of water, 10 kcal/mole. Table 5-II contrasts the melting points and the heats of melting per mole (the molar heat of melting, or the molar heat of fusion) of the same pure substances listed in Table 5-1. 

Calculate the standard entropy of vaporization of water at 85°C, given that its standard entropy of vaporization at 100.°C is 109.0 J-K -mol 1 and the molar heat capacities at constant pressure of liquid water and water vapor are 75.3 J-K -mol 1 and 33.6 J-K -mol, respectively, in this range. 

The amount of heat required to vaporize a substance also depends on the size of the sample. Twice as much energy is required to vaporize two moles of water than one mole. The heat needed to vaporize one mole of a substance at its normal boiling point is called the molar heat of vaporization, A /fvap. 

The equation shows the change in enthalpy when one mole of liquid water vaporizes into water vapor. This is called the molar heat of vaporization. Given this information, which of these is the proper value for the molar heat of condensation ... 

If it is assumed that the molar heat of vaporization is independent of temperature, then the equation integrates to... 

Use the Clausius-Clapeyron equation to solve for the molar heat of vaporization of isopropyl alcohol, A7/vap. 

The molar heat of vaporization, AHvap, at the boiling point is a measure of the heat required to change 1 mole of a liquid into a gas. The stronger the intermolecular forces of attraction between the molecules, the greater will be the value of AHvap. Since vapor pressure at a given temperature decreases with increasing intermolecular force, we expect the AHvap values to be the reverse of the vapor pressure trend. 

One would expect the enthalpy of sublimation (d) to be the largest of the four quantities cited. Molar heat capacities are quite small, on the order of fractions of a kilojoule per mole-degree. (Remember that specific heats have values of joules per gram-degree.) All of the heats of transition (or latent heats) are positive numbers and on the order of kilojoules per mole. Since the heat of sublimation is the sum of the heat of fusion and the heat of vaporization, AHsubl must be the largest of the three. 

Equations 2.39 and 2.40 lead to Avap//°(C2l I5OH) = 42.4 0.5 kJ mol-1 [40], which agrees with the mean of the calorimetric results for the same liquid, 42.30 0.04 kJ mol-1 [39]. Note that the less sophisticated approach (equation 2.33) apparently underestimates the vaporization enthalpy by 0.6 kJ mol-1. However, this is not true because AvapH = 41.8 kJ mol-1 refers to the mean temperature, 326 K. A temperature correction is possible in this case, because the molar heat capacities of liquid and gaseous ethanol are available as a function of T [40]. That correction can be obtained as ... 

Making and Using Graphs The heats required to melt or to vaporize a mole (a specific amount of matter) of matter are known as the molar heat of fusion (Hf) and the molar heat of vaporization (Hy), respectively. These heats are unique properties of each element. You will investigate if the molar heats of fusion and vaporization for the period 2 and 3 elements behave in a periodic fashion. 

Use Table C-6 in Appendix C to look up and record the molar heat of fusion and the molar heat of vaporization for the period 3 elements listed in the table. Then, record the same data for the period 2 elements. 

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