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- A study of air quality in a particular city by an environmental group suggests that t years from now, the level of carbon monoxide, in parts per million, in the air can be modeled by the function A(t) : 0.2t2 + 0.1t + 5.1.(a) For liquid benzene β = 9.30 x 10-5 atm-1 at 20 °C and 1 atm pressure. Utilizing the equation derived ln(v2/v1)=α(T2-T1)-β(P2-P1) and assuming β to be independent of pressure, find the percentage change in volume of a sample of benzene on being compressed at constant temperature from a pressure of 1 atm to a pressure of 11 atm. (b) What would be the percentage change in volume of an ideal gas compressed over the same pressure interval at constant temperature?2. A gas at 300 K and 1 bar (state 1) flows through an adiabatic compressor and exits at 20 bar and 700 K (state 2). The gas obeys the following equation of state, where a and B are constants. v-B The values are given as a = 10-3 _m³k bar mol the gas at 1 bar is Cp = 30 mol K RT ар + P T and B = 8 x 10-5 m³. The heat capacity of mol
- (c) Explain how ab initio method is different from semiempirical method.In a study of the catalytic properties of a titanium surface it was necessary to maintain the surface free from contamination. Calculate the collision frequency per square centimetre of surface made by O2 molecules at 300 K and (a) 100 kPa, (b) 1.00 Pa. Estimate the number of collisions made with a single surface atom in each second. The conclusions underline the importance of working at very low pressures (much lower than 1 Pa, in fact) in order to study the properties of uncontaminated surfaces. Take the nearest neighbour distance as 291 pm.The Weibull distribution is widely used in statistical problems relating to aging of solid insulating materials subjected to aging and stress. Use this distribution as a model for time (in hours) to failure of solid insulating specimens subjected to AC voltage. The values of the parameters depend on the voltage and temperature; suppose ? = 2.2 and ? = 220. (a) What is the probability that a specimen's lifetime is at most 250? Less than 250? More than 300? (Round your answers to five decimal places.) at most 250 less than 250more than 300 (b) What is the probability that a specimen's lifetime is between 100 and 250? (Round your answer to four decimal places.) (c) What value (in hr) is such that exactly 50% of all specimens have lifetimes exceeding that value? (Round your answer to three decimal places.) hr
- 4 (a) Evaluate four characteristics, and their corresponding considerations of design associated to them for the following reaction: C10H20(liq) + H2(g) = C10H22(liq) ∆Ĥ R < 0 C10H22(liq) + H2(g) = C10H24(liq) ∆Ĥ R < 02- There is a system consisting of N independent particles. Each particle can have only one of the two energy levels, -€g and +eo. Find the thermodynamic weight of a state with the total energy E = Meo (M = -N..+N), and discuss the statistical-thermodynamic properties of the system for the range E < 0, deriving specially the relation between temperature and the energy as well as the specific heat.Determine a particular solution u (x, t) for Subject to u(0, t) = 0 = u (L,t); u (x, 0) = 0; a²u at² a²u == x²; 0 Ju (x,0) at = 1 With the general solution u (x,t) = (A cos wx + B sin wx) (C cos wx + D sin wx)
- The self-diffusion coefficient of radioactive ³H2O in ordinary water (M =18.0×10³ kg mol¬') at 25°C is 2.44 x10~ m² s-!. For ordinary water, the density is 0.997×10³ kg m³, and the viscosity is 0.891×10-3 kg m¯l s-!. What is the collision diameter of ³H2O ?(a) (i) Ksp value of Cul is 5.0 x10-12 mol2dm at 25 °C. Calculate the maximum number of moles of Cul that can be dissolved in 1 dm³ of water at 25 °C. (ii) Calculate the maximum number of moles of Cul that can be dissolved in 1 dm³ of 0.1 moldm³ of Nal solution at 25 °C.For the eqbm: A+ 2B = 3C + 2D, if some B is removed from the system the quantity of D will rise. True False