Question

1. A **gas** does 800 J of work to expand and push
a piston. If the total energy of the gas does not change, what is
the heat for this process? Take the bold work to be the system.

2. Sodium dimer (Na_{2}) has a vibrational constant of
159.13 cm^{-1}. Calculate the vibrational partition
function of Na_{2} to three significant figures at 300 K.
The degeneracy is 1.

3. Calculate the work done (in J) when the volume of an ideal gas changes from 1.00 L to 3.00 L at an initial temperature of 25 degrees celsius and at a constant pressure of 1 bar.

Answer #1

- A
**gas**does 800 J of work to expand and push a piston. If the total energy of the gas does not change, what is the heat for this process? Take the bold work to be the system.

and

- Sodium dimer (Na2) has a vibrational constant of 159.13 cm-1. Calculate the vibrational partition function of Na2 to three significant figures at 300 K. The degeneracy is 1.

- Calculate the work done (in J) when the volume of an ideal gas changes from 1.00 L to 3.00 L at an initial temperature of 25 degrees celsius and at a constant pressure of 1 bar.

**Values:**

P= 1bar (100,000 Pa)

Vi= 1.00 L (0.001
m^{3})

Vf= 3:00 L (0.003
m^{3})

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Please solve the following problems. You must show all work.
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