f(o)= KBT Vc 1 |--ømø + (1 − 6) ln(1 − 6) + x6(1 − ø) N Π II = kBT [ф Vc N X In(1 - 6) - 6- x6² - to:²] = 1 1 + 21 6 No (2.62) (2.66) (3) Following Sec. 2.4.1, using the (mean-field) Flory-Huggin free energy of mixing for a polymer solution (Eq. (2.62)), derive Eq. (2.63) and hence the van't Hoff's law. Show that the coexistence curve is given by (2.66) and compute the critical point. (2.63)
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- Plz only do (d e f g and h)The tidal lung volume of human breathing, representing the amount of air inhaled and exhaled in a normal breath, is 500 cm³. (Assume atmospheric pressure.) (a) What is the number of molecules of air inhaled with each human breath when the air temperature is 25.0°C? molecules (b) If the molar mass of air is 28.96 g/mol, what is the mass (in g) of air molecules inhaled with each breath? (Assume the air temperature is 25.0°C.) g (c) It has been calculated that all of the air in Earth's atmosphere could be collected into a sphere of diameter 1,999 km at a pressure of 1.00 atm. What is the mass (in kg) of the air in Earth's atmosphere? (Assume the density of air used in this calculation was 1.225 kg/m³.) kg (d) If all 7 billion humans on Earth inhaled simultaneously, what percentage of the atmosphere would be inhaled during this process? (Assume the air temperature is 25.0°C everywhere on Earth.) %Grains of fine California beach sand are approximately spheres with an average radius of 50 μm and are made of silicon dioxide, which has a density of 2.5 × 103 kg/m3. What mass of sand grains would have a total surface area (the total area of all the individual spheres) equal to the surface area of a cube 1.2 m on an edge?
- 2 8 Perform the following calculations: (6.02 × 10²3) × (7.1 × 103) = 4.2742 ×1027 (8.46 × 10-4) × (2.23 x 103) = 1.88 65 8×100 3.6 × 107/2.2 × 104 = 1.63 x 10" 9 Perform the following conversions: 27.03 cm X 3.3 × 10⁰ g X 83 mph X 3.33 × 10-³ mL X 75 μm x 4°C X 12 miles x 2.9 g X 11.7 mg x 3.62 × 10-³ L X 36 gallons X 100 yards X 77°F X 15 nm X -16°C X 29 µg X 30 = = = || = || = || = = Exploring Biology in the Laboratory 04 6.4 × 106/4.2 × 10-³ = 1,52 7.2 × 108 + 3.3 × 107 = 7.53×108 9.4 × 106 - 4.6 × 10³ = 8.94×106 nm kg km/h gallons mm °F mm pounds kg mL Ligns 3 °C m °F ounces 29x119 1590 00000 on sii byg مواد ola 3 omen 3 bab 8 a obim A MFind the number of significant figures in each of the following. (a) 61.8 ± 0.3 (b) 3.86 ✕ 109 (c) 2.80000 ✕ 10−6 (d) 0.0045An element makes up 0.0021% of the Earth's continental crust by mass. Express this in ppm (parts per million), to an appropriate number of significant figures
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- il vidong P 7. (10pt) In AABC, ZC = 81°, ZB = 33°, and side c = 15. Find side b of AABC to the nearest tenth. pucg 1701 8. (a) (5pt) Prove the identity: secx-cosx = secx sin²x Ils obulout jollood moitotumnez baicoibai saiwisdio aeslau mmol jalgraiz oszo ni flot bris bolodal (b) (5pt) Find cos, if sin and tan 0 <0 5 snowers odriguia bustolovioc (0.x) mpl ori) to anotulos) airpori y bris x sit state noitsupo ostboup grivollol smil movie (inc E+xxx dgety od dolose or noemolni zid sau no bas tev dr.((,0) bas 9. Find all exact solutions to the trig equations for x = [0, 27): tan(x) = -√3 2 sin(x) = √2 (a) (5pt) (b) (5pt) =-- 10. (a) (5pt) Evaluate the logarithm without using a calculator: log, (819) hoitoup oils bri (b) (5pt) Solve for x and round the answer to the nearest tenth: 12* = 384 110 auibet bos.odnos odi vinobl mol bisbraste 20180b7009 diw storio edino ziniog spot fods. I npitori xalqinos oli vulgrai? woled invig oloro od to noisups silloi odi gniau slonio odi dgers bi 01-…(1) A metallic sphere has a density p and a radius r. (a) Using dimensional analysis, derive a formula for the mass of the sphere. (b) Using dimensional analysis, derive a dependence of the sphere radius if its mass and density are known.The value of (jxk). (kx î) is: O √3 O-1 0 O 3 O +1