Atoms and nuclei . The atom helium (He) consists of two protons, two neutrons, and two electrons. (Recall that density is mass divided by volume, and consult Appendices A and E and Table 1.1 as needed.) (a) The diameter at the He atom is approximately 0.10 nm. Calculate the density of the He atom in g/cm- (assuming that it is a sphere), and compare it with that of pure water, which is 1.0 g/cm 3 (b) The diameter of the He nucleus is about 2.0 fm Assuming the nucleus to be a sphere, calculate its density in g/cm’ and compare it with that of a neutron star in Problem 16.
Atoms and nuclei . The atom helium (He) consists of two protons, two neutrons, and two electrons. (Recall that density is mass divided by volume, and consult Appendices A and E and Table 1.1 as needed.) (a) The diameter at the He atom is approximately 0.10 nm. Calculate the density of the He atom in g/cm- (assuming that it is a sphere), and compare it with that of pure water, which is 1.0 g/cm 3 (b) The diameter of the He nucleus is about 2.0 fm Assuming the nucleus to be a sphere, calculate its density in g/cm’ and compare it with that of a neutron star in Problem 16.
Atoms and nuclei. The atom helium (He) consists of two protons, two neutrons, and two electrons. (Recall that density is mass divided by volume, and consult Appendices A and E and Table 1.1 as needed.) (a) The diameter at the He atom is approximately 0.10 nm. Calculate the density of the He atom in g/cm- (assuming that it is a sphere), and compare it with that of pure water, which is 1.0 g/cm3 (b) The diameter of the He nucleus is about 2.0 fm Assuming the nucleus to be a sphere, calculate its density in g/cm’ and compare it with that of a neutron star in Problem 16.
The density of platinum is 21.45 x 103 kg/m3.
a. Calculate the volume (in m3/atom) occupied per platinum atom
b. Estimate the atomic diameter (in m);(The estimate uses the approximation that it is a cubic volume)
c. Using this estimation, calculate the thickness of a metal foil (in m) containing 2.0 x 101 atomic layers of platinum.
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)?
Assume you have a drop of 2 cm3 falling down.
A) If the drop is a cube, what is its surface area? (Hint, volume of a cube = L3. Surface
area of a cube=6*L2, where L is the length of the cube, and the factor of 6 as a cube
has 6 faces).
B) For the same drop, what is its surface area if it is a sphere? (Hint, volume of a
sphere=4/3*pi*R3. Surface area of a sphere=4*pi*R2.)
C) Find the surface area to volume ratios of both objects. Which object (sphere or
cube) has a lower surface area to volume ratio? Which shape does the drop favor?
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