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In water saturated air, the mole fraction of water vapour is 0.02. If the total pressure of the saturated air is 1.2 atm, the partial pressure of dry air is
- a)1.18 atm
- b)1.76 atm
- c)1.176 atm
- d)0.98 atm.
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
In water saturated air, the mole fraction of water vapour is 0.02. If...
Given:
Mole fraction of water vapour = 0.02
Total pressure of the saturated air = 1.2 atm
To find: Partial pressure of dry air
Solution:
1. We know that the sum of mole fractions of all the components in a mixture is equal to 1.
2. Therefore, the mole fraction of dry air (which is the other component in the mixture) can be calculated as:
Mole fraction of dry air = 1 - Mole fraction of water vapour
Mole fraction of dry air = 1 - 0.02 = 0.98
3. Now, we can use Dalton's law of partial pressures which states that the total pressure of a mixture of gases is equal to the sum of the partial pressures of all the gases in the mixture.
4. Let the partial pressure of dry air be 'Pd'. Then, using Dalton's law, we can write:
Total pressure = Partial pressure of water vapour + Partial pressure of dry air
1.2 atm = Partial pressure of water vapour + Pd
5. We know that the mole fraction of a component is equal to its partial pressure divided by the total pressure of the mixture.
Mole fraction of water vapour = Partial pressure of water vapour / Total pressure
0.02 = Partial pressure of water vapour / 1.2
Partial pressure of water vapour = 0.02 × 1.2 = 0.024 atm
6. Substituting the values of partial pressure of water vapour and total pressure in the equation obtained in step 4, we get:
1.2 atm = 0.024 atm + Pd
Pd = 1.2 atm - 0.024 atm = 1.176 atm
Therefore, the partial pressure of dry air is 1.176 atm.
Answer: Option C.
Mole fraction of water vapour = 0.02
Total pressure of the saturated air = 1.2 atm
To find: Partial pressure of dry air
Solution:
1. We know that the sum of mole fractions of all the components in a mixture is equal to 1.
2. Therefore, the mole fraction of dry air (which is the other component in the mixture) can be calculated as:
Mole fraction of dry air = 1 - Mole fraction of water vapour
Mole fraction of dry air = 1 - 0.02 = 0.98
3. Now, we can use Dalton's law of partial pressures which states that the total pressure of a mixture of gases is equal to the sum of the partial pressures of all the gases in the mixture.
4. Let the partial pressure of dry air be 'Pd'. Then, using Dalton's law, we can write:
Total pressure = Partial pressure of water vapour + Partial pressure of dry air
1.2 atm = Partial pressure of water vapour + Pd
5. We know that the mole fraction of a component is equal to its partial pressure divided by the total pressure of the mixture.
Mole fraction of water vapour = Partial pressure of water vapour / Total pressure
0.02 = Partial pressure of water vapour / 1.2
Partial pressure of water vapour = 0.02 × 1.2 = 0.024 atm
6. Substituting the values of partial pressure of water vapour and total pressure in the equation obtained in step 4, we get:
1.2 atm = 0.024 atm + Pd
Pd = 1.2 atm - 0.024 atm = 1.176 atm
Therefore, the partial pressure of dry air is 1.176 atm.
Answer: Option C.
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Community Answer
In water saturated air, the mole fraction of water vapour is 0.02. If...
Pwater vapour = xwater vapour × ptotal = 0.02 × 1.2 = 0.024atm
ptotal = pwater vapour × pDry air
⇒1.2 = 0.024 + pDry air
⇒ pDry air = 1.176atm
Partial vapour pressure is directly proportional to mole fraction, p ∝ x.
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In water saturated air, the mole fraction of water vapour is 0.02. If the total pressure of the saturated air is 1.2 atm, the partial pressure of dry air isa)1.18 atmb)1.76 atmc)1.176 atmd)0.98 atm.Correct answer is option 'C'. Can you explain this answer?
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In water saturated air, the mole fraction of water vapour is 0.02. If the total pressure of the saturated air is 1.2 atm, the partial pressure of dry air isa)1.18 atmb)1.76 atmc)1.176 atmd)0.98 atm.Correct answer is option 'C'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about In water saturated air, the mole fraction of water vapour is 0.02. If the total pressure of the saturated air is 1.2 atm, the partial pressure of dry air isa)1.18 atmb)1.76 atmc)1.176 atmd)0.98 atm.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In water saturated air, the mole fraction of water vapour is 0.02. If the total pressure of the saturated air is 1.2 atm, the partial pressure of dry air isa)1.18 atmb)1.76 atmc)1.176 atmd)0.98 atm.Correct answer is option 'C'. Can you explain this answer?.
In water saturated air, the mole fraction of water vapour is 0.02. If the total pressure of the saturated air is 1.2 atm, the partial pressure of dry air isa)1.18 atmb)1.76 atmc)1.176 atmd)0.98 atm.Correct answer is option 'C'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about In water saturated air, the mole fraction of water vapour is 0.02. If the total pressure of the saturated air is 1.2 atm, the partial pressure of dry air isa)1.18 atmb)1.76 atmc)1.176 atmd)0.98 atm.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In water saturated air, the mole fraction of water vapour is 0.02. If the total pressure of the saturated air is 1.2 atm, the partial pressure of dry air isa)1.18 atmb)1.76 atmc)1.176 atmd)0.98 atm.Correct answer is option 'C'. Can you explain this answer?.
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In water saturated air, the mole fraction of water vapour is 0.02. If the total pressure of the saturated air is 1.2 atm, the partial pressure of dry air isa)1.18 atmb)1.76 atmc)1.176 atmd)0.98 atm.Correct answer is option 'C'. Can you explain this answer?, a detailed solution for In water saturated air, the mole fraction of water vapour is 0.02. If the total pressure of the saturated air is 1.2 atm, the partial pressure of dry air isa)1.18 atmb)1.76 atmc)1.176 atmd)0.98 atm.Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of In water saturated air, the mole fraction of water vapour is 0.02. If the total pressure of the saturated air is 1.2 atm, the partial pressure of dry air isa)1.18 atmb)1.76 atmc)1.176 atmd)0.98 atm.Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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