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Variable speed of light (VSL) theories generically lead to large violationsof charge conservation that can be written in terms of a dimensionlessparameter $\lambda$. It is shown that the motion of the Earth with respect tothe Sun could lead to a seasonal variation for the SAGE and GALLEX-GNOexperiments and analyzing the reported counting rates for these experiments, avery stringent bound $\lambda \le 2 \times 10^{-19} $ is obtained, some $10^9$times smaller than previous ones. Furthermore, a bound on the lifetime of the$\null^{71}{\rm Ga} \to \null^{71} {\rm Ge}$ charge-nonconserving decay in VSLtheories is found as: $ \tau_{\rm CNC} \ge 1.4 \times 10^{27} {\rm years}$.Similarly a new upper limit for the ratio of the charge-nonconserving to thenormal weak decay of the neutron in VSL theories is obtained: $\Gamma(n \to p +\nu_e + \bar{\nu}_e) /\Gamma(n \to p + e + \bar{\nu}_e) \le 2 \times 10^{-27}$.Comment: 6 pages, LaTeX + .bbl file

LIMITS ON CHARGE NON-CONSERVATION FROM POSSIBLE SEASONAL VARIATIONS OF THE SOLAR NEUTRINO EXPERIMENTS