In this problem, you will calculate the translational energies and partition functions of physical systems with differing dimensions. a) Consider the physical system of a F2 molecule at 25 °C confined to move in a 3-dimensional cubic box with sides of length 1.0 cm. i) What is the energy of the lowest possible translational state? ii) How much energy is needed to promote a F2 molecule from its lowest possible translational state to the next highest translational state? iii) What is the value of n² ( +n+n² that designates quantum states with energy equal to 3/2 kT? iv) Calculate the thermal wavelength. v) Calculate the translational partition function. b) Consider the physical system of an electron at 25 °C confined to move in a 3-dimensional cubic box with sides of length 1.0 nm. i) What is the energy of the lowest possible translational state? ii) How much energy is needed to promote an electron from its lowest possible translational state to the next highest translational state? y iii) What is the value of n² + n + n² that designates quantum states with energy equal to 3/2 kT? iv) Calculate the thermal wavelength. v) Calculate the translational partition function. c) How do the quantities calculated in i-v differ for the two systems? Explain how the size of the physical system affects these quantities.