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Problem Solving. Use GRESA.
In a 35.0 L automobile air bag, a sample of gaseous nitrogen has a pressure of 745 mm Hg. If
this sample is transferred to a 25.0 L bag at the same temperature, what is the final pressure of the gas?
*pls.help​


Sagot :

Given:

[tex]P_{1} = \text{745 mm Hg}[/tex]

[tex]V_{1} = \text{35.0 L}[/tex]

[tex]V_{2} = \text{25.0 L}[/tex]

Required:

[tex]P_{2}[/tex]

Equation:

[tex]P_{1}V_{1} = P_{2}V_{2}[/tex]

Solution:

[tex]P_{1}V_{1} = P_{2}V_{2}[/tex]

[tex]P_{2} = P_{1} × \frac{V_{1}}{V_{2}}[/tex]

[tex]P_{2} = \text{745 mm Hg} × \frac{\text{35.0 L}}{\text{25.0 L}}[/tex]

[tex]\boxed{P_{2} = \text{1043 mm Hg}}[/tex]

Answer:

[tex]P_{2} = \text{1043 mm Hg}[/tex]

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