Final answer:
The maximum pressure an open-end manometer can measure is 822.8 torr, and the minimum pressure is 765.2 torr. The pressure during Hurricane Gilbert in 1988 was 87100 Pa and approximately 654.4 torr.
Step-by-step explanation:
An open-end manometer filled with mercury can measure a range of pressures depending on the atmospheric pressure. With each side of the manometer initially at 28.8 cm, and the atmospheric pressure being 794 torr, we can calculate the maximum and minimum pressures the manometer can measure.
The maximum pressure this manometer can measure is when the mercury is pushed all the way down on the side open to the atmosphere, which would add the height of mercury to the atmospheric pressure:
Maximum pressure = Atmospheric pressure + Height of mercury (in torr)
Maximum pressure = 794 torr + (28.8 cm * (1 torr/cm))
Maximum pressure = 794 torr + 28.8 torr
Maximum pressure = 822.8 torr
The minimum pressure is when the mercury is pushed up to the top on the open side, effectively subtracting the height of mercury from the atmospheric pressure:
Minimum pressure = Atmospheric pressure - Height of mercury (in torr)
Minimum pressure = 794 torr - (28.8 cm * (1 torr/cm))
Minimum pressure = 794 torr - 28.8 torr
Minimum pressure = 765.2 torr
For the second part of the question concerning the pressure during Hurricane Gilbert in 1988, we need to convert millibars to pascals and to torr:
Pressure in pascals: 1 mbar = 100 Pa
Pressure in pascals: 871 mbar * 100 Pa/mbar
Pressure in pascals: 87100 Pa
Since 1 atm is 760 torr, and 1 atm is also 1013 mbar, we can find the conversion by comparing these:
Pressure in torr: 871 mbar * (760 torr / 1013 mbar)
Pressure in torr: 654.4 torr