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- What are the individual units of A, B and C of the Antoine equation? (to achieve the same dimensions)Use eqn 14D.4 to deduce expressions for (a) the root-mean-square separation of the ends of the chain, (b) the mean separation of the ends, and (c) their most probable separation. Evaluate these three quantities for a fully flexible chain with N = 4000 and l = 154 pm.The diffusion coefficient for molecular iodine in benzene is 2.13 × 10−9 m2 s−1. How long does a molecule take to jump through about one molecular diameter (approximately the fundamental jump length for translational motion)?
- (a) What is the significance of the triple point in a phasediagram? (b) Could you measure the triple point of waterby measuring the temperature in a vessel in which watervapor, liquid water, and ice are in equilibrium under 1 atmof air? Explain.6. why is the segmental mobility of a polymer reduced by the presence of the filter?Explain giving complete detail. Can we observe diffusion for point particles? Point particles are defined as particles of zero radius.
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- By what percentage does the root-mean-square separation of the ends of a one-dimensional polymer chain consisting of 1000 monomers increase (+) or decrease (−) when the persistence length changes from l (the bond length) to 2.5 per cent of the contour length? What is the percentage change in volume of the coil?From the Gaussian (normal) error curve, what is the probability that a result from a population lies between 0 and +1 σ of the mean? What is the probability of a result occurring that is between +1 σ and +2σ of the mean?Consider a gas in a cubical container 22 cm on a side. How many states lie within ±0.01% of the momentum magnitude p=1.6×10−23 kg⋅m/sp=1.6×10−23 kg⋅m/s (a plausible momentum for a nitrogen molecule in a gas at room temperature)? The number of states that lie within ±0.01% of the momentum magnitude p=1.6×10−23 kg⋅m/sp=1.6×10−23 kg⋅m/s is ______× 1025.