Answer:
The gage reading when the atmospheric pressure increases to 773 mmHg is 77.3 psi
Explanation:
[tex]P_{abs} = P_{gauge}+P_{atm}[/tex]
where;
[tex]P_{abs}[/tex] is absolute pressure in Psi
[tex]P_{gauge}[/tex] is the gauge pressure in Psi
[tex]P_{atm}[/tex] is the atmospheric pressure in Psi
Given;
Absolute pressure = 77 psi
Atmospheric pressure = 760 mmHg = 1 atm = 14.7 psi
From the equation above, Gauge pressure is:
[tex]P_{gauge} = P_{abs}-P_{atm}[/tex] = 77 - 14.7 = 62.3 psi
Gauge pressure is 62.3 psi
⇒When the Atmospheric pressure increases to 773 mmHg:
773 mmHg = 1.0171053 atm = 14.947 psi
[tex]P_{gauge}[/tex] = 62.3 psi, [tex]P_{atm}[/tex] = 14.947 psi
[tex]P_{abs} = P_{gauge}+P_{atm}[/tex]
= 62.3 + 14.947
= 77.247 psi
≅ 77.3 psi
Therefore, the gage reading when the atmospheric pressure increases to 773 mmHg is 77.3 psi
