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24 February, 05:30

A 275-mL flask contains pure helium at a pressure of 752 torr. A second flask with a volume of 475 mL contains pure argon at a pressure of 722 torr. If the two flasks are connected through a stopcock and the stopcock is opened, what is the partial pressure of each gas and the total pressure?

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  1. 24 February, 05:54
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    Partial pressure He = 276 torr Partial pressure Ar = 457 torr Total pressure = 733 torr

    Explanation:

    Assuming temperature remains constant, we can use Boyle's law to solve this problem: P₁V₁=P₂V₂.

    Once the two flasks are connected and the stopock opened, the total volume is:

    275 + 475 = 750 mL

    Now we use Boyle's law twice, to calculate the new pressure of each gas:

    He ⇒ 752 torr * 275 mL = P₂He * 750 mL

    P₂He = 276 torr

    Ar ⇒ 722 torr * 475 mL = P₂Ar * 750 mL

    P₂Ar = 457 torr

    Finally we calculate the total pressure, adding the partial pressures:

    Total pressure = P₂He + P₂Ar = 733 torr
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