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The molecular velocity of any gas is - [aieee-2011]
- a)Inversely proportional to absolute temperature
- b)Directly proportional to square of temperature
- c)Directly proportional to square root of temperature
- d)Inversely proportional to the square root of temperature
Correct answer is option 'C'. Can you explain this answer?
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The molecular velocity of any gas is - [aieee-2011]a)Inversely proport...
The average kinetic energy of a gas particle is directly proportional to the temperature. An increase in temperature increases the speed in which the gas molecules move. All gases at a given temperature have the same average kinetic energy. Lighter gas molecules move faster than heavier molecules.
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The molecular velocity of any gas is - [aieee-2011]a)Inversely proport...
Explanation:
Gas Molecular Velocity:
- The molecular velocity of a gas is the average speed at which the gas molecules are moving.
Relationship with Temperature:
- The molecular velocity of a gas is directly proportional to the square root of temperature.
Mathematical Representation:
- Mathematically, the relationship can be expressed as:
- Molecular velocity ∝ √T
- Where:
- Molecular velocity is the speed of gas molecules
- T is the absolute temperature
Explanation of the Relationship:
- As the temperature of a gas increases, the kinetic energy of the gas molecules also increases.
- This increase in kinetic energy leads to an increase in the speed of the gas molecules.
- The relationship between molecular velocity and temperature being proportional to the square root of temperature is a result of the kinetic theory of gases.
Conclusion:
- Therefore, the molecular velocity of any gas is directly proportional to the square root of the absolute temperature.
Gas Molecular Velocity:
- The molecular velocity of a gas is the average speed at which the gas molecules are moving.
Relationship with Temperature:
- The molecular velocity of a gas is directly proportional to the square root of temperature.
Mathematical Representation:
- Mathematically, the relationship can be expressed as:
- Molecular velocity ∝ √T
- Where:
- Molecular velocity is the speed of gas molecules
- T is the absolute temperature
Explanation of the Relationship:
- As the temperature of a gas increases, the kinetic energy of the gas molecules also increases.
- This increase in kinetic energy leads to an increase in the speed of the gas molecules.
- The relationship between molecular velocity and temperature being proportional to the square root of temperature is a result of the kinetic theory of gases.
Conclusion:
- Therefore, the molecular velocity of any gas is directly proportional to the square root of the absolute temperature.
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The molecular velocity of any gas is - [aieee-2011]a)Inversely proportional to absolute temperatureb)Directly proportional to square of temperaturec)Directly proportional to square root of temperatured)Inversely proportional to the square root of temperatureCorrect answer is option 'C'. Can you explain this answer?
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