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weqwewe
2 months ago
10

A 30.0 mL sample of hydrogen gas (H2) is collected over water at 20.00∘C and has a total pressure of 700.0 torr. The partial pre

ssure of water vapor at 20.00∘C is 17.5 torr. Calculate the mole fraction of H2 gas in the sample.
Chemistry
1 answer:
Alekssandra [3K]2 months ago
4 0

Answer: The mole fraction of hydrogen gas at 20°C is 0.975

Explanation:

The information provided includes:

Water vapor pressure at 20°C is 17.5 torr

Total pressure at 20°C = 700.0 torr

Hydrogen gas vapor pressure at 20°C = (700.0 - 17.5) torr = 682.5 torr

To find hydrogen gas's mole fraction at 20°C, we utilize Raoult's law, represented by:

p_{H_2}=p_T\times \chi_{H_2}

where,

p_{H_2} = pressure of hydrogen gas = 682.5 torr

p_T = total pressure = 700.0 torr

\chi_{H_2} = mole fraction of hydrogen gas =?

Substituting the values into the equation yields:

682.5torr=700.0torr\times \chi_{H_2}\\\\\chi_{H_2}=\frac{682.5}{700.0}=0.975

Thus, the mole fraction of hydrogen gas at 20°C equals 0.975

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HOPE IT HELPS

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6 0
2 months ago
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