Here is the data-sheet.
I just want to know how much time it takes to measure the temperature and how much current it consumes. I struggle when trying to find such info in the data-sheet so any help would be appreciated!
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If you look at Figure 3, you'll see that conversion time is a function of both supply voltage and temperature, ranging from 26 ms to 30 ms.
Looking at the Electrical Specifications on page 3, under Power Supply, the power consumption with the bus inactive is less than 0.5 µA in shutdown mode, and up to 10 µA otherwise. However, note that the bus interface draws power in proportion to the activity on the bus, independent of the mode of the sensor, and this can add up to an additional 80 µA at high bus speeds (3.4 MHz).