1. Suppose you inherit 3.00 moles of gold from your Aunt (an eccentric chemist)

Question

1. Suppose you inherit 3.00 moles of gold from your Aunt (an eccentric chemist) at a time when this metal is selling for $14.75 per gram. What is the gold worth? If you have your gold formed into a spherical nugget, what is its diameter?

2. At 2500K hydrogen gas (H2) adds two more degrees of freedom to its motion. It has three translation motions, two rotational motions and now two vibrational motions, giving it seven degrees of freedom. What are the Cv, Cp, free path for hydrogen at this temperature? What would be its kinetic energy per molecule?

Explanation / Answer

1. Molecular mass of gold = 197 gm

so 3 mole = 3*197

worth = 197*14.75=2905.75 $

4/3 pi r*r*r * density = 3*197

we get r = 1.94 cm

2

Cv = 7/2 R

Cp = Cv +R = 9/2 R

CvT/Na = Kinetic energy per molecule

so 7/2k T is Kinetic energy per molecule k is boltzmann constant

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