There is solubility info. in the article below available in the further reading section.
THE SYSTEM LITHIUM CHLORATE – LITHIUM CHLORIDE – WATER AT VARIOUS TEMPERATURES
Abstract
A. N. Campbell, J. E. Griffiths
Canadian Journal of Chemistry 34 pp 1647-1661
The solubilities of LiCl and LiClO3 (in grams per 100ml water) are taken from http://en.wikipedia.org/wiki/Solubility_table
Temp. C | 0 | 10 | 20 | 30 | 40 | 50 | 60 | 70 | 80 | 90 | 100 |
LiCl | 69.2 | 74.5 | 83.5 | 86.2 | 89.8 | . | 98.4 | . | 112 | 121 | 128 |
LiClO3 | 241 | 283 | 372 | 488 | 604 | . | 777 | . | . | . | . |
From experiments conducted by Hashashan it would appear that Li (Per)Chlorate cells are erosive to Lead Dioxide. It also appears that Li is erosive to Tin Oxide Anodes.
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