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Answer :
Sure! Let's solve the problem step by step:
1. Understand the problem:
- We have a mixture of gases (helium, argon, and krypton) with a total pressure of 97.8 kPa.
- We're given the partial pressure of krypton as 14 kPa.
- We're also given the partial pressure of helium as 48 kPa.
- We need to find the partial pressure of argon.
2. Use Dalton's Law of Partial Pressures:
- According to Dalton’s Law, the total pressure of a mixture of gases is the sum of the partial pressures of each individual gas.
- The formula is:
[tex]\[
\text{Total Pressure} = \text{Pressure of Helium} + \text{Pressure of Krypton} + \text{Pressure of Argon}
\][/tex]
3. Set up the equation:
- Given:
[tex]\[
\text{Total Pressure} = 97.8 \, \text{kPa}
\][/tex]
[tex]\[
\text{Pressure of Helium} = 48 \, \text{kPa}
\][/tex]
[tex]\[
\text{Pressure of Krypton} = 14 \, \text{kPa}
\][/tex]
- We need to find the Pressure of Argon:
[tex]\[
\text{Pressure of Argon} = \text{Total Pressure} - (\text{Pressure of Helium} + \text{Pressure of Krypton})
\][/tex]
4. Calculate the partial pressure of argon:
- Substitute the given values into the equation:
[tex]\[
\text{Pressure of Argon} = 97.8 \, \text{kPa} - (48 \, \text{kPa} + 14 \, \text{kPa})
\][/tex]
- Simplify the equation:
[tex]\[
\text{Pressure of Argon} = 97.8 \, \text{kPa} - 62 \, \text{kPa}
\][/tex]
[tex]\[
\text{Pressure of Argon} = 35.8 \, \text{kPa}
\][/tex]
Therefore, the partial pressure of argon is 35.8 kPa.
1. Understand the problem:
- We have a mixture of gases (helium, argon, and krypton) with a total pressure of 97.8 kPa.
- We're given the partial pressure of krypton as 14 kPa.
- We're also given the partial pressure of helium as 48 kPa.
- We need to find the partial pressure of argon.
2. Use Dalton's Law of Partial Pressures:
- According to Dalton’s Law, the total pressure of a mixture of gases is the sum of the partial pressures of each individual gas.
- The formula is:
[tex]\[
\text{Total Pressure} = \text{Pressure of Helium} + \text{Pressure of Krypton} + \text{Pressure of Argon}
\][/tex]
3. Set up the equation:
- Given:
[tex]\[
\text{Total Pressure} = 97.8 \, \text{kPa}
\][/tex]
[tex]\[
\text{Pressure of Helium} = 48 \, \text{kPa}
\][/tex]
[tex]\[
\text{Pressure of Krypton} = 14 \, \text{kPa}
\][/tex]
- We need to find the Pressure of Argon:
[tex]\[
\text{Pressure of Argon} = \text{Total Pressure} - (\text{Pressure of Helium} + \text{Pressure of Krypton})
\][/tex]
4. Calculate the partial pressure of argon:
- Substitute the given values into the equation:
[tex]\[
\text{Pressure of Argon} = 97.8 \, \text{kPa} - (48 \, \text{kPa} + 14 \, \text{kPa})
\][/tex]
- Simplify the equation:
[tex]\[
\text{Pressure of Argon} = 97.8 \, \text{kPa} - 62 \, \text{kPa}
\][/tex]
[tex]\[
\text{Pressure of Argon} = 35.8 \, \text{kPa}
\][/tex]
Therefore, the partial pressure of argon is 35.8 kPa.
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