A bottle of 2 moles of an ideal diatomic gas experiences a temperature increase of 50.0K at constant volume. (a) Find the increase in internal energy if only translational and rotational motions are possible. (b) Find the increase in internal energy if translational, rotational, and vibrational motions are possible. (c) Which of the following kind of molecule is more difficult to increase temperature with the same amount of heat: (i) molecule that has many vibrational and rotational modes or (ii) molecule with only one of such modes?