Given that the fundamental equation of chemical thermodynamics for a one-component system is given by: dG = Vdp - SdT Consider a multicomponent system (of i number of components) having a surface tension y and filling a box that has a sliding cover. If the cover of the box is slid back so to uncover an amount of surface dA: (i) Write the new fundamental equation of chemical thermodynamics describing this multicomponent system in this "sliding-cover" box. [2 marks] (ii) Write this equation from (i), expressing all the variables as partial derivatives of the function G. [3 marks] (b) Consider a container of volume 250cm³ that is divided into two compartments of equal size. In the left compartment there is argon at 100kPa and 0°C; in the right compartment there is neon at the same temperature and pressure. Calculate the Gibbs energy of mixing and the entropy of mixing when the partition is removed. (Assume the gases are perfect/ideal). marks] (c) Consider the following rotational temperatures of diatomic molecules: [10 Br(N2)=2.9K, 0+(HD) = 64.7K Assuming classical behaviour (i.e.|continuum approximation): (i) Estimate the number of accessible rotational energy levels at 290 K for both molecules. [3 marks] (ii) In which case would the classical approximation be accurate? Justify your answer. [2 marks] (d) Consider a two-component system of substances A and B, with moles nд and NB and chemical potentials μA and μB, respectively. Suppose that nд= 0.10 пB and a small change in composition results in UA changing by dμA= +12 J mol-¹. By how much will μB change? [5 marks]