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This is from the schematic of the HiJack. The Right Audio Channel is used to harvest a voltage through a transformer, a mosfet bridge and a diode. This is done by:

The HiJack energy harvester can supply 7.4 mW to a load with 47% power conversion efficiency when driven by a 22 kHz tone from the output from a single audio channel on the iPhone 3GS headset port

The left channel is used as data input into the HiJack's microcontroller.

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The power harvesting audio (right), data input (left) and data output (mic) is handled by a software library you would include in your custom built ios app (or with hijack's default apps)

Because of this, you cannot use audio and use the hijack at the same time. It's unknown if you can patch through (or in parallel as a 3.5mm splitter would do) without having a negative impact on either the headphones AND/OR the hijack, when either or is being used.

For the most part, someone using a temperature sensor module probably isn't interested at listening to music at the same time.