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A sample chlorine gas under a pressure of 620mmHg are placed in a container under a pressure of 1300mmHg compressing its volume to 198mL keeping the temperature constant. What is the volume of the containers in liters?

Sagot :

Given:

[tex]P_{1} = \text{620 mmHg}[/tex]

[tex]V_{2} = \text{198 mL}[/tex]

[tex]P_{2} = \text{1300 mmHg}[/tex]

Unknown:

[tex]V_{1}[/tex]

Solution:

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

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

[tex]V_{1} = \text{198 mL} × \frac{\text{1300 mmHg}}{\text{620 mmHg}}[/tex]

[tex]\boxed{V_{1} = \text{415 mL}}[/tex]

[tex]\\[/tex]

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