Magnesium metal is reacted with hydrochloric acid to produce hydrogen gas. A sample of hydrogen gas is collected over water in a eudiometer at 28.0°C. The atmospheric pressure is 786 mmHg. Determine the pressure (in atm) of the hydrogen gas produced.

Respuesta :

The pressure of hydrogen gas produced is 0.997 atm

Using the standard table of temperature and water vapour pressure;

  • At 28.0°C, the water vapour pressure = 28.3 mmHg
  • The pressure of hydrogen gas (H₂) collected over water is:
  • = [tex]\mathbf{P_{moist\ gas } = 786 mmHg}[/tex]

Recall that:

[tex]\mathbf{P_{moist \ gas} = P_{dry \ gas} + P_{water vapor}}[/tex]

where;

  • the dry gas = hydrogen gas

[tex]\mathbf{ P_{dry \ gas} = P_{moist \ gas} - P_{water vapor}}[/tex]

[tex]\mathbf{ P_{dry \ gas} = (786- 28.3) mmHg}}[/tex]

[tex]\mathbf{ P_{dry \ gas} = (757.7) mmHg}}[/tex]

We know that 1 atmospheric pressure = 760 mmHg

757.7 mmHg will be:

[tex]\mathbf{=\dfrac{757.7 \ mmHg \times 1 \ atm}{760 \ mmHg}}[/tex]

= 0.997 atm

Therefore, we can conclude that the pressure of hydrogen gas produced is 0.997 atm

Learn more about partial pressure here;

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