Question

A rigid cubic container of side 0.25 m is filled with 10 moles of the ideal gas Xenon and is then sealed so that no gas can get out or in. The initial pressure of the gas is recorded as 2.8 x 10⁵ Pa. You may use the following values for this question:

Gas constant R: 8.31 J/(mol K)

Boltzmann constant k_B : 1.38 x 10^-23 J/K

Avogadro's number N_A: 6.02 x 10²³ /mol

A) Determine the total amount of force in N exerted on ONE side of the container by the gas inside.

B) For the pressure reading given in the problem statement, at what temperature (in K) is the Xenon?

C) Now, suppose that the temperature of this gas is changed to exactly 150 K. What is the new pressure of the gas in kPa (kilopascals)?

D) At the new temperature of the gas (150 K), what is the average (root-mean-square) speed, in m/s, of the gas particles, assuming that they are unbound and knowing that the mass of a Xenon atom is 2.18 x 10^-25kg? Answer to the second decimal place.

E) Changing the temperature of the gas is a thermodynamic process. For this problem, which type of process is necessitated by the physical constraints of the experiment?

Answer 1