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Answer :
To find the partial pressure of hydrogen in the collecting bottle, you can follow these steps:
1. Understand the Problem:
When you collect hydrogen gas over water, you get a mixture of hydrogen gas and water vapor. The total pressure measured in the bottle is a combination of both the hydrogen gas pressure and the water vapor pressure.
2. Use the Total Pressure Value:
The total pressure in the collecting bottle is given as 97.1 kilopascals (kPa).
3. Use the Water Vapor Pressure:
The vapor pressure of the water in the collecting bottle is given as 3.2 kilopascals (kPa).
4. Apply Dalton’s Law of Partial Pressures:
Dalton’s Law states that the total pressure exerted by a mixture of gases is equal to the sum of the partial pressures of the individual gases. In this case:
[tex]\[
\text{Total Pressure} = \text{Partial Pressure of Hydrogen} + \text{Water Vapor Pressure}
\][/tex]
5. Calculate the Partial Pressure of Hydrogen:
You need to rearrange the equation to solve for the partial pressure of hydrogen:
[tex]\[
\text{Partial Pressure of Hydrogen} = \text{Total Pressure} - \text{Water Vapor Pressure}
\][/tex]
Substitute the known values into the equation:
[tex]\[
\text{Partial Pressure of Hydrogen} = 97.1\, \text{kPa} - 3.2\, \text{kPa} = 93.9\, \text{kPa}
\][/tex]
So, the partial pressure of the hydrogen gas is 93.9 kPa. The correct answer is A. 93.9 kPa.
1. Understand the Problem:
When you collect hydrogen gas over water, you get a mixture of hydrogen gas and water vapor. The total pressure measured in the bottle is a combination of both the hydrogen gas pressure and the water vapor pressure.
2. Use the Total Pressure Value:
The total pressure in the collecting bottle is given as 97.1 kilopascals (kPa).
3. Use the Water Vapor Pressure:
The vapor pressure of the water in the collecting bottle is given as 3.2 kilopascals (kPa).
4. Apply Dalton’s Law of Partial Pressures:
Dalton’s Law states that the total pressure exerted by a mixture of gases is equal to the sum of the partial pressures of the individual gases. In this case:
[tex]\[
\text{Total Pressure} = \text{Partial Pressure of Hydrogen} + \text{Water Vapor Pressure}
\][/tex]
5. Calculate the Partial Pressure of Hydrogen:
You need to rearrange the equation to solve for the partial pressure of hydrogen:
[tex]\[
\text{Partial Pressure of Hydrogen} = \text{Total Pressure} - \text{Water Vapor Pressure}
\][/tex]
Substitute the known values into the equation:
[tex]\[
\text{Partial Pressure of Hydrogen} = 97.1\, \text{kPa} - 3.2\, \text{kPa} = 93.9\, \text{kPa}
\][/tex]
So, the partial pressure of the hydrogen gas is 93.9 kPa. The correct answer is A. 93.9 kPa.
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