The question asks for the value of 1 atmospheric pressure among the given options.
Firstly, it's important to understand what 1 atmosphere (1 atm) typically represents in terms of pressure. Atmospheric pressure is the force exerted by the weight of the air in the atmosphere of Earth.
1 atmospheric pressure is commonly accepted to be approximately 101,325 Pascals (Pa) or 101.325 kilopascals (kPa).
Let's look at the given options:
(a) [tex]$10^5 N / m^2$[/tex]
(b) [tex]$750 mm Hg$[/tex]
(c) [tex]$700 mm Hg$[/tex]
(d) [tex]$10^6$[/tex]
Option (a): [tex]$10^5 N / m^2$[/tex]
1 Pascal (Pa) is defined as 1 Newton per square meter ([tex]\(1 N/m^2\)[/tex]). Thus, [tex]\(10^5 N/m^2\)[/tex] is the same as 100,000 Pascals (Pa). This is quite close to the generally accepted value of 1 atm (101,325 Pa).
Option (b): [tex]$750 mm Hg$[/tex]
This represents the pressure in millimeters of mercury (mm Hg). The approximate pressure of 1 atm is commonly accepted to be about 760 mm Hg. Therefore, 750 mm Hg is slightly less than 1 atm.
Option (c): [tex]$700 mm Hg$[/tex]
Similarly, 700 mm Hg is even further away from 760 mm Hg, which is the approximate value for 1 atm.
Option (d): [tex]$10^6$[/tex]
This is simply a numerical value without any units and does not represent a valid measurement of atmospheric pressure.
Given these observations, the closest option to the value of 1 atmospheric pressure (101,325 Pa) is:
(a) [tex]\(10^5 N / m^2\)[/tex]
