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In a gaseous mixture there is a total of 12 moles of gases a b and c number of moles of a is 3 partial pressure of a and b are 6 ATM and 3 ATM respectively which of the following gas has same average speed at same temperature as that of a gas CE 30 gram of gas se is present in the mixture?
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In a gaseous mixture there is a total of 12 moles of gases a b and c n...
Understanding Average Speed of Gases
In a gaseous mixture, the average speed of gas molecules is determined by their molar mass and temperature, according to the kinetic molecular theory. At a constant temperature, lighter gases move faster than heavier gases.
Given Data
- Total moles of gases (a, b, c): 12 moles
- Moles of gas A: 3 moles
- Partial pressure of gas A: 6 ATM
- Partial pressure of gas B: 3 ATM
- Mass of gas C: 30 grams
Molar Mass and Speed Relationship
- The average speed (u) of gas is inversely proportional to the square root of its molar mass (M). This is expressed as:
u ∝ 1/√M
- Therefore, to find a gas that has the same average speed as gas A, we need to compare molar masses.
Calculation of Molar Mass of Gas C
1. Determine moles of gas C:
- Total moles = 12
- Moles of gas B = (3 ATM / 6 ATM) * 3 moles of A = 1.5 moles
- Moles of gas C = 12 - (3 + 1.5) = 7.5 moles
2. Calculate molar mass of gas C:
- Molar mass (M) = Mass / Moles
- Molar mass of gas C = 30 g / 7.5 moles = 4 g/mol
Finding Gas with Same Average Speed
- Since gas A has 3 moles, we can assume it to be a common gas like Helium (He), with a molar mass of approximately 4 g/mol.
- Therefore, gas C can also be assumed to be a light gas, likely having a similar molar mass.
Conclusion
- Gas C, with a molar mass of 4 g/mol, has a similar average speed at the same temperature as gas A (assuming gas A is also around 4 g/mol).
- Thus, gas C, being a lighter gas, shares comparable kinetic properties with gas A.
In a gaseous mixture, the average speed of gas molecules is determined by their molar mass and temperature, according to the kinetic molecular theory. At a constant temperature, lighter gases move faster than heavier gases.
Given Data
- Total moles of gases (a, b, c): 12 moles
- Moles of gas A: 3 moles
- Partial pressure of gas A: 6 ATM
- Partial pressure of gas B: 3 ATM
- Mass of gas C: 30 grams
Molar Mass and Speed Relationship
- The average speed (u) of gas is inversely proportional to the square root of its molar mass (M). This is expressed as:
u ∝ 1/√M
- Therefore, to find a gas that has the same average speed as gas A, we need to compare molar masses.
Calculation of Molar Mass of Gas C
1. Determine moles of gas C:
- Total moles = 12
- Moles of gas B = (3 ATM / 6 ATM) * 3 moles of A = 1.5 moles
- Moles of gas C = 12 - (3 + 1.5) = 7.5 moles
2. Calculate molar mass of gas C:
- Molar mass (M) = Mass / Moles
- Molar mass of gas C = 30 g / 7.5 moles = 4 g/mol
Finding Gas with Same Average Speed
- Since gas A has 3 moles, we can assume it to be a common gas like Helium (He), with a molar mass of approximately 4 g/mol.
- Therefore, gas C can also be assumed to be a light gas, likely having a similar molar mass.
Conclusion
- Gas C, with a molar mass of 4 g/mol, has a similar average speed at the same temperature as gas A (assuming gas A is also around 4 g/mol).
- Thus, gas C, being a lighter gas, shares comparable kinetic properties with gas A.
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In a gaseous mixture there is a total of 12 moles of gases a b and c number of moles of a is 3 partial pressure of a and b are 6 ATM and 3 ATM respectively which of the following gas has same average speed at same temperature as that of a gas CE 30 gram of gas se is present in the mixture?
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In a gaseous mixture there is a total of 12 moles of gases a b and c number of moles of a is 3 partial pressure of a and b are 6 ATM and 3 ATM respectively which of the following gas has same average speed at same temperature as that of a gas CE 30 gram of gas se is present in the mixture? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about In a gaseous mixture there is a total of 12 moles of gases a b and c number of moles of a is 3 partial pressure of a and b are 6 ATM and 3 ATM respectively which of the following gas has same average speed at same temperature as that of a gas CE 30 gram of gas se is present in the mixture? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a gaseous mixture there is a total of 12 moles of gases a b and c number of moles of a is 3 partial pressure of a and b are 6 ATM and 3 ATM respectively which of the following gas has same average speed at same temperature as that of a gas CE 30 gram of gas se is present in the mixture?.
In a gaseous mixture there is a total of 12 moles of gases a b and c number of moles of a is 3 partial pressure of a and b are 6 ATM and 3 ATM respectively which of the following gas has same average speed at same temperature as that of a gas CE 30 gram of gas se is present in the mixture? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about In a gaseous mixture there is a total of 12 moles of gases a b and c number of moles of a is 3 partial pressure of a and b are 6 ATM and 3 ATM respectively which of the following gas has same average speed at same temperature as that of a gas CE 30 gram of gas se is present in the mixture? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a gaseous mixture there is a total of 12 moles of gases a b and c number of moles of a is 3 partial pressure of a and b are 6 ATM and 3 ATM respectively which of the following gas has same average speed at same temperature as that of a gas CE 30 gram of gas se is present in the mixture?.
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In a gaseous mixture there is a total of 12 moles of gases a b and c number of moles of a is 3 partial pressure of a and b are 6 ATM and 3 ATM respectively which of the following gas has same average speed at same temperature as that of a gas CE 30 gram of gas se is present in the mixture?, a detailed solution for In a gaseous mixture there is a total of 12 moles of gases a b and c number of moles of a is 3 partial pressure of a and b are 6 ATM and 3 ATM respectively which of the following gas has same average speed at same temperature as that of a gas CE 30 gram of gas se is present in the mixture? has been provided alongside types of In a gaseous mixture there is a total of 12 moles of gases a b and c number of moles of a is 3 partial pressure of a and b are 6 ATM and 3 ATM respectively which of the following gas has same average speed at same temperature as that of a gas CE 30 gram of gas se is present in the mixture? theory, EduRev gives you an
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