Answer :
To find the partial pressure of the hydrogen gas collected, you need to use the concept of partial pressures, which states that the total pressure in a container is the sum of the partial pressures of all gases present.
Here’s how you can solve the problem step-by-step:
1. Understand the given values:
- The total pressure in the collecting bottle is 97.1 kilopascals (kPa).
- The vapor pressure of water in the bottle is 3.2 kilopascals (kPa).
2. Apply Dalton's Law of Partial Pressures:
- Dalton's Law states that the total pressure of a gas mixture is the sum of the partial pressures of each individual gas in the mixture.
- In this case, the total pressure is the sum of the partial pressure of hydrogen and the vapor pressure of water.
3. Calculate the partial pressure of hydrogen:
- To find the partial pressure of hydrogen, subtract the vapor pressure of water from the total pressure.
- [tex]\( \text{Partial Pressure of Hydrogen} = \text{Total Pressure} - \text{Vapor Pressure of Water} \)[/tex]
- [tex]\( \text{Partial Pressure of Hydrogen} = 97.1 \, \text{kPa} - 3.2 \, \text{kPa} = 93.9 \, \text{kPa} \)[/tex]
The partial pressure of the hydrogen gas is 93.9 kPa.
Therefore, the correct answer is:
A. 93.9 kPa
Here’s how you can solve the problem step-by-step:
1. Understand the given values:
- The total pressure in the collecting bottle is 97.1 kilopascals (kPa).
- The vapor pressure of water in the bottle is 3.2 kilopascals (kPa).
2. Apply Dalton's Law of Partial Pressures:
- Dalton's Law states that the total pressure of a gas mixture is the sum of the partial pressures of each individual gas in the mixture.
- In this case, the total pressure is the sum of the partial pressure of hydrogen and the vapor pressure of water.
3. Calculate the partial pressure of hydrogen:
- To find the partial pressure of hydrogen, subtract the vapor pressure of water from the total pressure.
- [tex]\( \text{Partial Pressure of Hydrogen} = \text{Total Pressure} - \text{Vapor Pressure of Water} \)[/tex]
- [tex]\( \text{Partial Pressure of Hydrogen} = 97.1 \, \text{kPa} - 3.2 \, \text{kPa} = 93.9 \, \text{kPa} \)[/tex]
The partial pressure of the hydrogen gas is 93.9 kPa.
Therefore, the correct answer is:
A. 93.9 kPa