Question

1. A hydrogen molecule at room temperature is found to behave like a ball-and-stick dimer (rigidly held bond length). A gas of N hydrogen molecules will have a thermal energy of how much________ NkBT. (Hint: Use the quantum model)

2. Suppose I have a block of matter with 4 two-state “Degrees of Freedom” (bins in which to place energy that can only hold 1 energy packet). How many distinct ways are there to distribute the energy?

3. The free energy could be negative above or below a certain temperature. OR it could be positive no matter what the temperature

Group of answer choices

Delta G > 0

You can't tell anything about Delta G from the given information

Delta G = 0

Delta G < 0

Answer 1

1) The average transitional kinetic energy of molecule is 3/2 NkBT and is called thermal energy.

2) Given -

n=4

Degree of freedom=D=2

The number of ways energy is distributed-

Dⁿ = 2⁴ = 16

Therefore the number of ways energy distributed is 16.

3)Gibbs free energy is given as-

G = H - (TS)

Thus from this equation,the spontaneity of the reaction is decided.

This when G is negative- reaction is spontaneous.

And when G is positive-- reaction is non- spontaneous.