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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)?One molecule of water (H2O) contains two atoms of hydrogen and one atom of oxygen. A hydrogen atom has a mass of 1.0 u and an atom of oxygen has a mass of 16 u, approximately. (a) What is the mass of one molecule of water? (b) How many molecules of water are in the world's oceans, which have an estimated total mass of 1.4 x 1021 kg? (a) Number i Units (b) Number i UnitsThe radius of an atom of gold (Au) is about 1.35 Å. How many gold atoms would have to be lined up to span 4.0 mm? Express your answer using two significant figures.
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- Bacteria and other prokaryotes are found deep underground, in water, and in the air. One micron (10-6 m) is a typical length scale associated with these microbes. (a) Estimate the total number of bacteria and other prokaryotes onthe Earth. (b) Estimate the total mass of all such microbes.Find 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) 0.0045Problem 2: The lawn outside your neighbor's house has an approximate area of 145 m2. Part (a) One night it snows so that the snow on the lawn has a uniform depth of 17.5 cm. What volume of snow is on the lawn, in cubic meters? Numeric : A numeric value is expected and not an expression. V = cubic centimeters? Part (b) What is the volume of this snow Numeric : A numeric value is expected and not an expression. V =
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