equation of state

Consider the following system at equilibrium where H° = -18.8 kJ, and Kc = 10.5, at 350 K.2CH2Cl2(g) CH4(g) + CCl4(g)If the VOLUME of the equilibrium system is suddenly increased at constant temperature: A) The value of Kc: a) increases b) decreases c) remains the same B) The value of Qc: a) is greater than Kc b) is equal to Kc c) is less than Kc C) The reaction must: a) run in the forward direction to reestablish equilibrium. b)  run in the reverse direction to reestablish equilibrium. c) remain the same. It is already at equilibrium. D) The number of moles of CCl4 will: a) increase b) decrease c) remains the same

QUESTION 3 A sample consisting of 3.00 mol He undergoes isothermal reversible expansion at 25°C from 20.5 L to 35.5 L. Calculate q, w, AU and AH (all unit J). Please enter your answers using scientific notation with 3 significant figures. If the answer is negative, please do not forget the negative sign. If answer is zero, please just enter 0 without decimal. (1) q= (2) w= (3) AU= (4) ΔΗ=

Q3. The following information on the pressure-temperature diagram of nitrogen: P (atm) T(K) 0.123 33.3978 1.0 Triple point Critical point Normal boiling point Density of N₂(s): 1.03g/cm-³ N₂(1): 0.808g/cm-³ 63.15 126.19 77.35 Using this information, sketch a phase-equilibrium diagram of nitrogen and mark each point. Then, describe why the slope of each phase/phase equilibrium is positive or negative.

Two liquids A and B mix to form an ideal solution. Consider A to be the solvent (majority component) and B to be the solute (minority component). What is the relationship between the Gibbs energy and chemical potential for a pure phase? How does the Gibbs energy of A(solution) COmpare to Gibbs energy of Apure liquid)? How does the Gibbs energy of B(solution) compare to Gibbs energy of B(pure liquid)? d. When B is added to pure A, what happens to the Gibbs energy of A? а. b. C. e. Why does the Gibbs energy of the solvent of an ideal solution (in this case, A) decrease upon the addition of a solute (in this case, B)? Provide mathematical and conceptual explanations.

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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(a) The ideal gas equation of state is a fairly simple expression of the relationship between the physical properties of a gas. In Module 4, we will consider some other equations of states, one of which is the van der Waals equation of state, (? + a n2/ v2) (V-nb)=nRT where a and b are constant coefficients for a given substance, and P, V, T, and n have their usual meaning. Find the partial derivative (P/T)v for this equation of state . b) Mathematically, it is known that for three variables that are related to one another (as P, Vm, and Tare here) by a function (or equation of state), one can show                                     (??/??)z (??/??)x (??/??)y =−1 (note the cyclic variation of the three variables).Using this relationship, and the definitions of kT(coefficient of isothermal compressibility) and a (coefficient of isobaric thermal expansibility), find a simple equation relating the van der Waals parameter, b, to Vm, a, and kT. (For a discussion of this sort of…

Question 1. Derive an expression for the vapor density at the boiling point as a function of temperature. Assume that the ideal gas law is valid. The vapor density of water at 25°C is 23.4 g/m³. Calculate the vapor pressure and vapor density at 50°C.

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