Final answer:
1.975 atmospheres is equivalent to 1.501 meters of mercury by using the conversion factor of 1 atm = 760 mm Hg.
Step-by-step explanation:
The student asked how many meters of mercury are equivalent to 1.975 atmospheres. To answer this, we start with the knowledge that 1 atmosphere (atm) is equivalent to a pressure supported by 760 millimeters (mm) of mercury (Hg). The density of mercury is such that it is 13.6 times greater than the density of water, which allows for a more compact representation of atmospheric pressure in mercury versus water.
Converting atmospheres to millimeters of mercury, we use the direct conversion: 1 atm = 760 mm Hg. For 1.975 atm, we multiply by 760 mm Hg to get 1501 mm Hg, which is 1.501 meters of mercury, since there are 1000 mm in one meter.
Here is the step-by-step calculation:
- Identify the conversion factor: 1 atm = 760 mm Hg.
- Convert atmospheres to millimeters of mercury: 1.975 atm x 760 mm Hg/atm = 1501 mm Hg.
- Convert millimeters to meters: 1501 mm Hg × (1 m / 1000 mm) = 1.501 m of Hg.
Therefore, 1.975 atmospheres is equivalent to 1.501 meters of mercury.