Besides it being utterly ridiculous to have a mining chip in your computer, you are ignoring that Bitcoin is terrible for micropayments.
1) The blockchain can handle approximately 3 transactions per second, which if actually spread evenly across the day (which they wouldn't be), it can handle around 260,000 transactions per day. A website like the New York Times does over 1MM unique per day.
2) In order to get settlements on your transactions, you have to pay a fee or else miners will ignore you. Current fees are around the equivalent of $0.04 USD. So your 1 cent transaction will not only bound up the network, but also cost you 5 cents to actually get processed.
Bitcoin is not now, nor will it ever be, a feasible solution for micropayments. And the ridiculous 21.co mining rig is even more ridiculous of a solution.