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How to compare power consumption of 433 MHz and 2.4 GHz?

When i google for power consumption 433mhz 2,4ghz and similar most results tell me that 433MHz consumes less power... but when I look at specifications of explicit chips/modules I can't seem to find a 433MHz module that use less power than the 2,4GHZ module..

For example those two nordic chips:

www.nordicsemi.com/.../nRF51822

6.3mA - TX at -4dBm

www.nordicsemi.com/.../nRF9E5

9mA Radio TX at -10dBm

The SUB-1-GHz chip seems (at least it seems to me) to loose the duel. Less signal, more power use. Where's my mistake?

As I don't need a long range nor much throughput, power consumption is all that matters to me. The less the better. a few years out of a CR2032 would be ideal.. (Every 5 or so seconds a measurement via SPI from a sensor, and then send the two 24bit values via bluetooth)

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