Additional Homework Problems

CDP5-A_B

A rather sinister-looking gentleman sidles up to you one night and in a sibilant whisper asks you to make him some methyl perchlorate. You question his motives because the product of the reaction between solid silver perchlorate and methyl iodide "explodes violently when struck" [M. F. Radies and T. Iredale, J. Phys. Chem., 48, 224 (1944)]. He responds by telling you the truth: he owns a tree stump removal business, and he needs cheap explosives. The legal route has occurred to him, but his funds are quickly depleting.

You're not too comfortable with this situation, but times are hard, and you need the money. What you don't need, however, is to destroy your laboratory. Therefore, you decide to make the material in batch in a benzene solution, give the sinister stranger the product still in the benzene, and let him figure out how to get the methyl perchlorate out.

You use a vessel containing 30 dm³ of solution, starting with 0.7 M CH₃I and 0.5 M AgClO₄ concentrations. How long will it take you to convert 98% of the silver perchlorate? (You handle the silver perchlorate very carefully, since it, too, detonates with disturbing frequency when struck, jarred, or annoyed in other fashions.)

Additional Data:

CH₃I + AgClO₄ CH₃ClO₄ + AgI

where

at 298 K in benzene, k = 0.00042 (dm³/mol)^3/2/s.

Solution