A mass spectrometer has been configured with a magnetic field strength of about 100 mT along with an entrance-exit hole spacing measuring approximately 7.0 cm. What would be the necessary '∆V' acceleration potential differences required for detecting CH₄⁺ ions? The atomic masses are C = 12.000 u, H = 1.0078 u. The electron's missing mass is negligible at this precision level since it's less than 0.001 u. The following constants should be used during calculations: q = 1.6022 × 10^-19 C, and u = 1.6605 × 10^-27 kg.