352 mL of chlorine under a pressure of 720. mm Hg are placed in a container under a pressure of 1120 mm Hg. The temperature remains constant at 296 K. What is the volume of the container in liters? (0.226 L)

Respuesta :

Answer:- 0.226 L

Solution:- From Boyle's law,"At constant temperature, volume of a gas is inversely proportional to the pressure of the gas."

[tex]P_1V_1=P_2V_2[/tex]

Given:-

[tex]P_1[/tex] = 720. mmHg

[tex]P_2[/tex] = 1120 mmHg

[tex]V_1[/tex] = 352 mL

[tex]V_2[/tex] = ?

the equation could be rearranged for final volume as:

[tex]V_2=\frac{P_1V_1}{P_2}[/tex]

let's plug in the values in the equation and solve it for final volume.

[tex]V_2=\frac{720.mmHg(352mL)}{1120mmHg}[/tex]

[tex]V_2[/tex] = 226 mL

Since, 1000 mL = 1 L

So, [tex]226mL(\frac{1L}{1000mL})[/tex]

= 0.226 L

Hence, the volume of the container is 0.226 L.

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