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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- The density of a sample of HCP boron is 1623 kg/m3, and the lattice parameters are a0 = 0.21958 nm and c0 = 0.30442 nm.Calculate:(a) the fraction of the lattice points that contain vacancies; and(b) the total number of vacancies in a cubic centimeter of B.(a) What is the relationship between surface tension andtemperature? (b) What is the relationship between viscosityand temperature? (c) Why do substances with high surfacetension also tend to have high viscosities?A mole of air, (80.0% N2 and 20.0% O2, by volume) at 24.8oC is brought into contact with liquid water which has a vapor pressure of 3118 Pa at this temperature. (A) What is the volume of the dry air, if the pressure is 1 bar? (B) What is the final volume of the air saturated with water vapor, if the total pressure is kept as 1 bar? (C) What is the mole fraction of each gas in the moist air?
- (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.(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%).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:
- 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?