Use the Laplace equation to calculate the difference in pressure on either side of a curved surface of water (γ = 72 mN m-1 at 298 K) of radius (a) 0.10 mm. (b) 1.0 mm.
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Use the Laplace equation to calculate the difference in pressure on either side of a curved surface of water (γ = 72 mN m-1 at 298 K) of radius (a) 0.10 mm. (b) 1.0 mm.
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- (a) How do the viscosity and surface tension of liquids change as intermolecular forces become stronger? (b) How do the viscosity and surface tension of liquids change as temperature increases? Accounts for these trends(a) Do you expect the viscosity of glycerol, C3H5(OH)3,to be larger or smaller than that of 1-propanol, C3H7OH?(b) Explain.Suppose you shade a square of side 1.0 cm with a pencil that leaves a layer of graphite 315 nm thick. Estimate (a) the number of carbon atoms that you deposited and (b) the amount in moles.
- At what pressure does the mean free path of krypton (Kr)atoms (d = 3.16 × 10-10 m) become comparable with thediameter of the 1-L spherical vessel that contains them at300 K? Calculate the diffusion constant at this pressure.The surface tension and viscosity values for diethyl ether, acetone, ethanol, and ethylene glycol are shown here. (a) Explain their differences in viscosity in terms of the size and shape of their molecules and their IMFs. (b) Explain their differences in surface tension in terms of the size and shape of their molecules and their IMFs:(2) A hypothetical tetrahedral crystal has the following lattice parameters: a = b = 0.40 nm, c = 0.5 nm, a = B = y = 90°. Please write the indices of all planes/directions that belong to the family of (i) {100} (5%) and (ii) (5%).
- Aluminium crystallises in a cubic close-packed structure. Radius of the atom in the metal is 125 pm.(i) What is the length of the side of the unit cell?(it) How many unit cells are there in 1 cm3 of aluminium?(b) Using the Crystallographer's formula to determine the density (in g/cm³) of Po: ρ = Σ Ζ * Μ Vell* N You must know that a primitive cubic cell has Z = 1 Since Po is a metal, the value of "i" = 1, since it's the only entity! MM of Po= 208.998 g/mol Vcell (in cm³) = a³ Vcell (3.36 x 10-8 cm)³ = 3.793 x 10-23 cm³ N = 6.022 x 1023 atoms/mol Thus: p = (1 atom/cell) (208.998 g/mol) = 9.16 g/cm³ (3.793 x 10-23 cm³) (6.022 x 1023)Iron has a body-centered cubic structure with a density of 7.86 g cm-3.(a) Calculate the nearest neighbor distance in crystalline iron.(b) What is the lattice parameter for the cubic unit cell of iron?(c) What is the atomic radius of iron?