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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?
Verified Answer
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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