The bond force constant for the Cul (copper iodide) is 174 Nm ¹. (a) Calculate the approximate wavelength of the light absorbed due to the transition v=0→2 in Cul. (b) Estimate the isotopic shift (fractional change in wavelength) for the same transition between Cul and Cul. (c) The fraction of molecules with vibration energy level j at temperature T is given by pie (1-e) where y=hw/kBT. Calculate the temperature of a gas in which 1/2 the Cul molecules are in the vibrational ground state. (d) In general, diatomic molecules such as HCl and CO are mostly in the vibrational ground state at room temperature. Give two reasons why this is not the case for Cul.