Answer:
[tex] 735 mm Hg = 0.967 atm= 97991.940 Pa=97.992Pa[/tex]
Explanation:
Previous concepts
Atmospheric pressure is defined as "the force per unit area exerted against a surface by the weight of the air above that surface".
Torricelli shows that we can calculate the atmosphric pressure with a glass tube inside of a tank and with the height we can find the pressure with the relation
[tex]P_{atm}=\rho_{Hg} g h[/tex]
Solution to the problem
For this case we can use the following conversion factor:
[tex]1 atm = 760 mm Hg[/tex]
And if we convert the 735 mm Hg to atm we got this:
[tex]735 mm Hg * \frac{1atm}{760 mm Hg}=0.967 atm[/tex]
And also we can convert this value to Pa and Kpa since we have this conversion factor:
[tex] 1 atm =101325 Pa[/tex]
And if we apply the conversion we got:
[tex]0.967 atm *\frac{101325 Pa}{1 atm}=97991.940 Pa[/tex]
And that correspond to 97.99 Kpa.
Finally we can express the atmospheric pressure on different units for this case :
[tex] 735 mm Hg = 0.967 atm= 97991.940 Pa=97.992Pa[/tex]
The atmospheric pressure (atm) resulting from the mercury column is 0.967 atm.
The given parameters;
The atmospheric pressure (atm) resulting from the mercury column is calculated as follows;
760 mmHg ------- 1 atm
735 mmHg -------- ?
[tex]= \frac{735 \ \times \ 1 atm}{760} \\\\= 0.967 \ atm[/tex]
Thus, the atmospheric pressure (atm) resulting from the mercury column is 0.967 atm.
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