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Two balloons are filled one with pure he gas and other with air respectively. If the pressure and temperature of these balloons are same, then the number of molecules per unit volume is
- a)more in He gas filled balloon
- b)same in both balloons
- c)more in air filled balloon
- d)in the ratio 1 : 4
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
Two balloons are filled one with pure he gas and other with air respec...
Understanding the Scenario
When comparing two balloons—one filled with helium (He) gas and the other with air—under identical pressure and temperature conditions, we must consider the properties of gases based on the Ideal Gas Law.
Ideal Gas Law Overview
The Ideal Gas Law states:
PV = nRT
Where:
- P = Pressure
- V = Volume
- n = Number of moles
- R = Ideal gas constant
- T = Temperature
In this case, since both balloons have the same pressure (P) and temperature (T), we can infer certain characteristics.
Composition of Gases
- Helium (He): A monoatomic gas with a molar mass of approximately 4 g/mol.
- Air: A mixture predominantly composed of nitrogen (N2) and oxygen (O2), with an average molar mass of about 29 g/mol.
Calculation of Molecules per Unit Volume
- The number of molecules per unit volume (n/V) can be derived from the Ideal Gas Law, expressed as:
n/V = P/(RT)
- Since both balloons are at the same pressure and temperature, the ratio of the number of moles of gas in each balloon is determined by their molar masses.
Conclusion on Molecules per Unit Volume
- Helium Balloon: Lower molar mass results in a higher number of moles per unit volume.
- Air Balloon: Higher molar mass results in fewer moles per unit volume.
Thus, the number of molecules per unit volume is same in both balloons when considering the total number of molecules in the same volume at identical conditions.
Therefore, the correct answer is option B: same in both balloons.
When comparing two balloons—one filled with helium (He) gas and the other with air—under identical pressure and temperature conditions, we must consider the properties of gases based on the Ideal Gas Law.
Ideal Gas Law Overview
The Ideal Gas Law states:
PV = nRT
Where:
- P = Pressure
- V = Volume
- n = Number of moles
- R = Ideal gas constant
- T = Temperature
In this case, since both balloons have the same pressure (P) and temperature (T), we can infer certain characteristics.
Composition of Gases
- Helium (He): A monoatomic gas with a molar mass of approximately 4 g/mol.
- Air: A mixture predominantly composed of nitrogen (N2) and oxygen (O2), with an average molar mass of about 29 g/mol.
Calculation of Molecules per Unit Volume
- The number of molecules per unit volume (n/V) can be derived from the Ideal Gas Law, expressed as:
n/V = P/(RT)
- Since both balloons are at the same pressure and temperature, the ratio of the number of moles of gas in each balloon is determined by their molar masses.
Conclusion on Molecules per Unit Volume
- Helium Balloon: Lower molar mass results in a higher number of moles per unit volume.
- Air Balloon: Higher molar mass results in fewer moles per unit volume.
Thus, the number of molecules per unit volume is same in both balloons when considering the total number of molecules in the same volume at identical conditions.
Therefore, the correct answer is option B: same in both balloons.
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Community Answer
Two balloons are filled one with pure he gas and other with air respec...
Assumingthe balloons have the same volume, as pV= nRT. If P, V and T are the same, n the number of moles present will be the same, whether it is He or air.
Hence, number of molecules per unit volume will be same in both the balloons.
Hence, number of molecules per unit volume will be same in both the balloons.
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Two balloons are filled one with pure he gas and other with air respectively. If the pressure and temperature of these balloons are same, then the number of molecules per unit volume isa)more in He gas filled balloonb)same in both balloonsc)more in air filled balloond)in the ratio 1 : 4Correct answer is option 'B'. Can you explain this answer?
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Two balloons are filled one with pure he gas and other with air respectively. If the pressure and temperature of these balloons are same, then the number of molecules per unit volume isa)more in He gas filled balloonb)same in both balloonsc)more in air filled balloond)in the ratio 1 : 4Correct answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Two balloons are filled one with pure he gas and other with air respectively. If the pressure and temperature of these balloons are same, then the number of molecules per unit volume isa)more in He gas filled balloonb)same in both balloonsc)more in air filled balloond)in the ratio 1 : 4Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two balloons are filled one with pure he gas and other with air respectively. If the pressure and temperature of these balloons are same, then the number of molecules per unit volume isa)more in He gas filled balloonb)same in both balloonsc)more in air filled balloond)in the ratio 1 : 4Correct answer is option 'B'. Can you explain this answer?.
Two balloons are filled one with pure he gas and other with air respectively. If the pressure and temperature of these balloons are same, then the number of molecules per unit volume isa)more in He gas filled balloonb)same in both balloonsc)more in air filled balloond)in the ratio 1 : 4Correct answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Two balloons are filled one with pure he gas and other with air respectively. If the pressure and temperature of these balloons are same, then the number of molecules per unit volume isa)more in He gas filled balloonb)same in both balloonsc)more in air filled balloond)in the ratio 1 : 4Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two balloons are filled one with pure he gas and other with air respectively. If the pressure and temperature of these balloons are same, then the number of molecules per unit volume isa)more in He gas filled balloonb)same in both balloonsc)more in air filled balloond)in the ratio 1 : 4Correct answer is option 'B'. Can you explain this answer?.
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Two balloons are filled one with pure he gas and other with air respectively. If the pressure and temperature of these balloons are same, then the number of molecules per unit volume isa)more in He gas filled balloonb)same in both balloonsc)more in air filled balloond)in the ratio 1 : 4Correct answer is option 'B'. Can you explain this answer?, a detailed solution for Two balloons are filled one with pure he gas and other with air respectively. If the pressure and temperature of these balloons are same, then the number of molecules per unit volume isa)more in He gas filled balloonb)same in both balloonsc)more in air filled balloond)in the ratio 1 : 4Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of Two balloons are filled one with pure he gas and other with air respectively. If the pressure and temperature of these balloons are same, then the number of molecules per unit volume isa)more in He gas filled balloonb)same in both balloonsc)more in air filled balloond)in the ratio 1 : 4Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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