Consider a restricted random walk on a square lattice. Let us assume that a walker is not allowed to step back (but can go forward, turn right, or turn left with equal probability). Calculate the mean-square end-to-end distance for such a restricted n-step random walk. What is the characteristic ratio C∞ for this walk? The lattice constant is equal to l.

Calculate the diffusion constant of argon at 25 °C and (a) 1 Pa, (b) 100 kPa and (c) 10 MPa.

1- what if B = benzene, A = methanol, what are the dominant interactions between A and B, B and B and A and A and what is their dependence on the distance of the molecules? What can you follow about the strength of these interactions from the phase diagram? 2-  Indicate in the figure which limiting cases you can identify. Name the limiting cases and write down the equations for it. Explain in which situations they hold. 3- You set up a solution of 70 mole % A and 30 mole % B. Calculate from the diagram of A in the gas phase. What does this indicate for a possible separation of A and B and how could you get that?

Obtain the linear attenuation coefficient of PVC (C2H3Cl)3 with a density of 1.4 g/cm^3.

Establish the phase equilibrium for nonreacting systems in terms of the specific Gibbs function of the phases of a pure substance

Consider the arrangement: fly F (b) 0=45° r (nm) 0.5 1.0 1.5 4.0 +0₂ (a) = 2.0 nm 0 (degree) 0 45 90 180 +Q₁ Calculate the molecular potential energy of interaction between two HCI molecules (μ = 1.08 D) at the given separations (r) and angles (0). Comment on your results. V (J/mol) 8 -Q₂ V (J/mol)