Problem 7.13. An ideal gas consists of a mixture of "green" and "red" spin-particles. All particles have mass m. A magnetic field, B, is applied to the system. The "green" particles have magnetic moment YG, and the "red" particles have magnetic moment YR, where YRYG. Assume the temperature is high enough that Fermi statistics can be neglected. The system will be in equilibrium if the chemical potentials of the "red" and "green" gases are equal. Compute the ratio NR/NG, where NR is the number of "red" particles and NG is the number of "green" particles. Use the canonical ensemble (no other ensemble will be accepted).