Profoto B1 500 AirTTL User Manual page 18

Battery operating temperature
range
Battery storage temperature
range
Wireless sync
All figures are to be considered as nominal and Profoto reserves the right make changes without further notice.
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-10 °C to +50 °C (-4 °F to +120 °F)
-20 °C to +60°C (-20 °F to +140 °F)
Yes, via all Air camera transmitters or IR (Slave)