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System, Surroundings, Intensive, Extensive Properties

A 100 mL flas...

Question

A $100 m L$ flask contained $H_{2}$ at $200 T o r r$ , and a $200 m L$ flask contained $H e$ at $100 T o r r$ . The two flask were then connected so that each gas filled their combined volume. Assuming no change in temperature, total pressure is:

300 t o r r

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66.66 t o r r

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150 t o r r

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133.33 t o r r

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Solution

The correct option is D $133.33 t o r r$
$n_{H_{2}} = \frac{p V}{R T} = \frac{20000}{R T}$

$n_{H e} = \frac{p V}{R T} = \frac{20000}{R T}$

$n_{T} = n_{H_{2}} + n_{H e} = \frac{40000}{R T}$
$Total volume = 300 m L$
$P = \frac{n_{T}}{V} \times R T = \frac{40000}{R T \times 300} \times R T = 133.33 t o r r$

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