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Answer :
The pressure reading of the barometer in kilopascals (kPa) is 90.18 kPa.
The given problem involves converting the barometer reading from inches of mercury (inHg) to kilopascals (kPa) using the provided conversion factors. First, we need to convert inches of mercury to atmospheres (atm) and then convert atmospheres to kilopascals.
Starting with the conversion: 1 inHg = 0.334 atm, we can calculate that the barometer reading in atmospheres is 27.0 inHg * 0.334 atm/inHg = 9.018 atm.
Now, using the conversion factor: 1 atm = 101.3 kPa, we can find that the pressure reading in kilopascals is 9.018 atm * 101.3 kPa/atm = 90.18 kPa.
In summary, the barometer reading of 27.0 inches of mercury corresponds to a pressure of approximately 90.18 kilopascals.
This calculation highlights the sequential application of conversion factors to arrive at the final pressure reading in kilopascals. First, the inches of mercury are converted to atmospheres, and then the atmospheres are further converted to kilopascals. These conversions are based on the given conversion factors of 1 inHg = 0.334 atm and 1 atm = 101.3 kPa, respectively. The final result, 90.18 kPa, represents the pressure indicated by the old barometer in the mountain hut.
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