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Convert a pressure of 60 mmHg to the following unites of pressure

1. Atmosphere (atm)
2. Kilopascal (kPa)
3. Pound per square inch (psi)

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Sagot :

[tex]\tt{\huge{\red{1. \: Solution:}}}[/tex]

Note that 1 atm = 760 mmHg.

[tex]\begin{aligned} ? \: \text{atm} & = 60 \: \cancel{\text{mmHg}} \times \frac{\text{1 atm}}{760 \: \cancel{\text{mmHg}}} \\ & = \boxed{\text{0.079 atm}} \end{aligned}[/tex]

[tex]\tt{\huge{\red{2. \: Solution:}}}[/tex]

Note that 1 atm = 760 mmHg = 101.325 kPa

[tex]\begin{aligned} ? \: \text{kPa} & = 60 \: \cancel{\text{mmHg}} \times \frac{1 \: \cancel{\text{atm}}}{760 \: \cancel{\text{mmHg}}} \times \frac{\text{101.325 kPa}}{1 \: \cancel{\text{atm}}} \\ & = \boxed{\text{8.0 kPa}} \end{aligned}[/tex]

[tex]\tt{\huge{\red{3. \: Solution:}}}[/tex]

Note that 1 atm = 760 mmHg = 14.696 psi

[tex]\begin{aligned} ? \: \text{psi} & = 60 \: \cancel{\text{mmHg}} \times \frac{1 \: \cancel{\text{atm}}}{760 \: \cancel{\text{mmHg}}} \times \frac{\text{14.696 psi}}{1 \: \cancel{\text{atm}}} \\ & = \boxed{\text{1.16 psi}} \end{aligned}[/tex]

[tex]\\[/tex]

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