Example 4: The molar enthalpy of a binary liquid mixture of 1 and 2 at constant temperature and pressure is given by AM = 400x1 + 250x2 + 30x1x2 where Ĥyis in J/mol. Calculate 6 (a) The molar enthalpies of pure components 1 and 2. (b) The partial molar enthalpies of components 1 and 2 at x1=0.35. (c) The partial molar enthalpies of components 1 and 2 at infinite dilution. (d) Prove that the experimental data are thermodynamically consistent.

Liquid mercury has a molar volume of 0.01465 dm3 mol-1 and solid mercury a molar volume of 0.01413 dm3 mol-1, both being measured at the melting point, -38.87°C under 101.3 kPa (atmospheric) pressure. The enthalpy of fusion for mercury is 1954 J mol-1. Using the setting out given in lectures (i.e. show all working), calculate the melting points of mercury under a pressure of (a) 10 times atmospheric (1013 kPa) and (b) 750 times atmospheric (75,975 kPa). N.B. Be careful of units. The following information will prove very useful to this problem. 1dm3 =1x10-3 m3 1Jm-3 =1Pa 0°C= 273.15 K   we have to use the clapeyron equation

8. Use the Gibbs-Duhem relation to derive an equation for the molar volume of water (molar volume of pure water is 18.079 cc/mol at 298 K) in solution with a salt which has a partial molar volume of: (v has units of cc/mol) v = 6.218 +5.146z - 7.147z² with z = = b/bº

2. Consider the P-x-y diagram at 300 K for A-B mixtures at right. (a) What are the vapor pressures of A and B at 300 K? (b) A 25 mol-% A vapor mixture is isother- mally compressed from 1.5 to 2.0 bar. Does a 2-phase mixture form, and if so, what is the mole fraction of A in each resulting phase? (c) Using data at the azeotrope, compute the van Laar parameters a and 3 for A-B mix- tures at this temperature. P (bar) 2.8 2.6 2.4 2.2 2.0 1.8 1.6 1.4 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 XA or YA

ANSWER 1 AND 2 PLEASE

A popular commercial solvent mixture is made up of several aliphatic and aromatic hydrocarbons.You are tasked with estimating its properties assuming toluene is the main component.You are expected to solve this problem in two ways, a) using the Lee-Kesler diagrams to estimate the following quantities. A) The molar volume at the critical point.B) The molar volume in the liquid phase at T = 110C and P = 10 bar.C) The molar volume in the vapor phase at T = 310C and P = 20 bar.D) The change in molar enthalpy when toluene is heated and compressed from T = 110C andP = 10 bar to T = 310 C and P = 20 bar.Note: you may use PREOS and other Excel spreadsheets, but only as a calculator

The partial molar enthalpy of component (1) in a binary mixture at a stant temperature and pressure is given as H₂ = x₂ − x₁ +4, (2.1) ere x₁ and x₂ are the mole fraction of components (1) and (2) in the mixture. If the molar halpy of component (1) in a pure case is H₁ = 20 kJ/mol. Determine (10 points) the partial molar enthalpy of component (2). (10 points) molar enthalpy of the mixture. C

Complete the property table for water below. Use only the Thermodynamic Property Table for Water referring to the Smith, Van Ness and Abbot Thermodynamics textbook. P [kPa] V [m³/kg] H[ kJ/kg] T[°C] Phase Description X 500 Saturated liquid 171 2044.5 300 0.8 Note that x refers to the "quality" or the mass fraction of the water in vapor phase. If the system is composed of pure liquid water, x = 0. If the system is composed of pure gaseous steam, x = 1. The volume of a liquid/vapor system can be determined using the following equation. V = Vj + x(Vg-Vj) V - volume of saturated liquid water Va - volume of saturated gaseous steam Similar calculation can be done for other properties such as internal energy, entropy, and enthalpy. H = HỊ + x(Hg-H) Under phase description, indicate whether the system is composed of saturated liquid, saturated vapor, superheated vapor, or liquid-vapor mixture. Also note that when pressure is given, it is more advisable to use the Superheated Steam Table than…

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answer number 4 only