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About 15 dollars for transmitter and reciever. Without the batteries, although you can use any battery, like alkaline. With D alkalines the weather station will last around 7 years.
Yes, it has already been done, although the esp's quiescent current is higher, and it's deep sleep function is harder to use. But it is more convinient sending the data directly to your phone.
Arduino Ultra Low Power Wea...View Instructable »