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Answer :
To find the partial pressure of the hydrogen gas in the mixture, we can use Dalton's Law of Partial Pressures. According to this law, the total pressure of a gas mixture is the sum of the partial pressures of each component gas.
Here's how you can calculate it step-by-step:
1. Identify the given pressures:
- The total pressure in the collecting bottle is given as 97.1 kilopascals (kPa).
- The vapor pressure of the water is given as 3.2 kilopascals (kPa).
2. Apply Dalton’s Law of Partial Pressures:
[tex]\[
\text{Total Pressure} = \text{Partial Pressure of Hydrogen} + \text{Vapor Pressure of Water}
\][/tex]
3. Rearrange the formula to solve for the partial pressure of hydrogen:
[tex]\[
\text{Partial Pressure of Hydrogen} = \text{Total Pressure} - \text{Vapor Pressure of Water}
\][/tex]
4. Substitute the known values:
[tex]\[
\text{Partial Pressure of Hydrogen} = 97.1 \, \text{kPa} - 3.2 \, \text{kPa} = 93.9 \, \text{kPa}
\][/tex]
Therefore, the partial pressure of the hydrogen is 93.9 kilopascals. The correct answer is A: 93.9 kPa.
Here's how you can calculate it step-by-step:
1. Identify the given pressures:
- The total pressure in the collecting bottle is given as 97.1 kilopascals (kPa).
- The vapor pressure of the water is given as 3.2 kilopascals (kPa).
2. Apply Dalton’s Law of Partial Pressures:
[tex]\[
\text{Total Pressure} = \text{Partial Pressure of Hydrogen} + \text{Vapor Pressure of Water}
\][/tex]
3. Rearrange the formula to solve for the partial pressure of hydrogen:
[tex]\[
\text{Partial Pressure of Hydrogen} = \text{Total Pressure} - \text{Vapor Pressure of Water}
\][/tex]
4. Substitute the known values:
[tex]\[
\text{Partial Pressure of Hydrogen} = 97.1 \, \text{kPa} - 3.2 \, \text{kPa} = 93.9 \, \text{kPa}
\][/tex]
Therefore, the partial pressure of the hydrogen is 93.9 kilopascals. The correct answer is A: 93.9 kPa.
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