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- One mole of Gold (Au) atom has a mass of 197 g. We know that the density of gold is 19.30 g/cm3 in room temperature. Using those numbers, answer the following questions: a) What is the mass of a single gold atom in kg? b) Assume that gold atoms sit in a perfect cubic crystal structure. Estimate the distance between two gold atoms in meters. c) If we have a gold cube of 6 cm on each side, how many atoms can we fit along the edge of each side of the cube? d) What would be the mass, in kilograms, of the gold cube we discussed in part (c) (measuring 6 cm on each side)?Problem 1: In statistical mechanics, the internal energy of an ideal gas is given by: N. aNkB 2/3 (3NKB U = U(S,V) = е where a is a constant. 1- Show that the variation of the internal energy is given by: 2 dS - \3V 2 dU = dV \3NkB 2- Using the fundamental relation of thermodynamic dU = T.ds – p. dV, show that the equation of state PV = nRT follows from the first expression of U.5. A drop of ink is gently deposited in a large volume of motionless water and initially has a radius of 1 mm. After 2 s the ink drop has diffused into a spherical ball with radius 3 mm. How long will it take the ball to diffuse from a radius of 1 mm to a radius of 11 mm (in s)? [All distances are root-mean-square averages.] (A) 8 (B) 15 (C) 20 (D) 35 (E) 50
- How would I draw the following graphs for a simple ohmic device from the equations V=IR and P=IV=I^2R=V^2/R: plot V vs. I with constant R, plot P vs V with constant R, plot P vs R with constant I, and plot P vs I with constant R.In the Taylor Expansion, it looks like they've made x_0 = x_1, x_2 and made x = x_1 - a, x_2 - a. I don't understand how they can use that substitution for x_0 since it is a constant, and x_1 and x_2 are variables that can change.S Can 6 PAR к Торс K Unit K In x K Moti = Cop K Unit S Spee S Topo S Math Micr eb.kamihq.com/web/viewer.html?source-filepicker&document_identifier=137VZR5BZOVSAIMOA55WU555_CvJ9NacO + 100 P e Interpreting Graphs Answer the questions following the graphs on each side Dietance va. Time 2 7 10 11 12 13 14 Time in soconds 1. From 1 second to 2 seconds, how fast is the object traveling. (Take the difference in distance and divide it by the time in between the 2 distances) 2. Is the object going as fast between 9 and 12 seconds as it is between 1 and 4 seconds? How can you tell? 3. What is the motion of the object between 4 and 6 seconds? acer
- K conditions 2 is 2.00 and K condition 1 is 1.88. Why should K condition 1 and 2 should be the same?At what height is the atmospheric pressure 29.0% of what it is at sea level? Assume the molar mass of the air molecules to be 29.0 g/mol and that the air temperature is uniformly 287 K. [Answer in kilometres with 3 sig digits, but do not enter units with your answer]An atom of neon has a radius Ne-38. pm and an average speed in the gas phase at 25°C of 350.m/s. Suppose the speed of a neon atom at 25°C has been measured to within 0.10%. Calculate the smallest possible length of box inside of which the atom could be known to be located with certainty. Write your answer as a multiple of "Ne and round it to 2 significant figures. For example, if the smallest box the atom could be in turns out to be 42.0 times the radius of an atom of neon, you would enter "42.Ne" as your answer. [
- Viscosity of fluid plays a significant role in the analyses of many fluid dynamics problems. The viscosity of water can be determined from the following correlation: q10(72,) where e = viscosity (N/s•m²) T- temperature (K) - 2.414 x 10-s 2 - 247.8 (K) s = 14 0 (K) What is the appropriate unit for q, if the above equa- tion is to be homnogeneous in units?A valid, but probably useless, dimensionless group is givenby (μT0g)/ (YLα) , where everything has its usual meaning,except α . What are the dimensions of α ?( a ) θL-1T-1 , ( b ) θL-1T-2 , ( c ) θML-1 , ( d ) θ-1LT-1 ,( e ) θLT-1A sealed 19 m3 tank is filled with 7,011 moles of ideal oxygen gas (diatomic) at an initial temperature of 292 K The gas is heated to a final temperature of 490 K. The atomic mass of oxygen is 16.0 g/mol. The final pressure of the gas, in MPa, is closest to: answer round to 4 sig.fig