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Which one of the following statements is NOT true about the effect of an increase in temperature on the distribution of molecular speeds in a gas? [2005]
- a)The area under the distribution curve remains the same as under the lower temperature
- b)The distribution becomes broader
- c)The fraction of the molecules with the most probable speed increases
- d)The most probable speed increases
Correct answer is option 'C'. Can you explain this answer?
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Which one of the following statements is NOT true about the effect of ...
Introduction:
The distribution of molecular speeds in a gas refers to the range of speeds at which molecules are moving within the gas. This distribution is described by a curve known as the Maxwell-Boltzmann distribution. Changes in temperature can affect the shape and properties of this distribution.
Explanation:
The statement that is NOT true about the effect of an increase in temperature on the distribution of molecular speeds in a gas is option C, which states that the fraction of molecules with the most probable speed increases.
Effect of Temperature on Distribution of Molecular Speeds:
1. Area under the distribution curve:
- The area under the distribution curve represents the total number of molecules in the gas.
- When the temperature is increased, the total number of molecules remains the same.
- Therefore, option A is true as the area under the distribution curve remains the same as under the lower temperature.
2. Broadening of the distribution:
- An increase in temperature leads to an increase in the average kinetic energy of the gas molecules.
- This increase in kinetic energy results in a broader distribution of molecular speeds.
- Option B is true as the distribution becomes broader with an increase in temperature.
3. Most probable speed:
- The most probable speed is the speed at which the highest number of molecules in the gas have.
- The most probable speed is given by the peak of the distribution curve.
- An increase in temperature shifts the distribution curve to higher speeds.
- This shift does not affect the fraction of molecules with the most probable speed.
- Option D is true as the most probable speed increases with an increase in temperature.
4. Fraction of molecules with the most probable speed:
- The fraction of molecules with the most probable speed is determined by the shape of the distribution curve.
- This fraction is not affected by changes in temperature.
- Option C is NOT true as the fraction of molecules with the most probable speed does not increase with an increase in temperature.
Therefore, the correct answer is option C.
The distribution of molecular speeds in a gas refers to the range of speeds at which molecules are moving within the gas. This distribution is described by a curve known as the Maxwell-Boltzmann distribution. Changes in temperature can affect the shape and properties of this distribution.
Explanation:
The statement that is NOT true about the effect of an increase in temperature on the distribution of molecular speeds in a gas is option C, which states that the fraction of molecules with the most probable speed increases.
Effect of Temperature on Distribution of Molecular Speeds:
1. Area under the distribution curve:
- The area under the distribution curve represents the total number of molecules in the gas.
- When the temperature is increased, the total number of molecules remains the same.
- Therefore, option A is true as the area under the distribution curve remains the same as under the lower temperature.
2. Broadening of the distribution:
- An increase in temperature leads to an increase in the average kinetic energy of the gas molecules.
- This increase in kinetic energy results in a broader distribution of molecular speeds.
- Option B is true as the distribution becomes broader with an increase in temperature.
3. Most probable speed:
- The most probable speed is the speed at which the highest number of molecules in the gas have.
- The most probable speed is given by the peak of the distribution curve.
- An increase in temperature shifts the distribution curve to higher speeds.
- This shift does not affect the fraction of molecules with the most probable speed.
- Option D is true as the most probable speed increases with an increase in temperature.
4. Fraction of molecules with the most probable speed:
- The fraction of molecules with the most probable speed is determined by the shape of the distribution curve.
- This fraction is not affected by changes in temperature.
- Option C is NOT true as the fraction of molecules with the most probable speed does not increase with an increase in temperature.
Therefore, the correct answer is option C.
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Which one of the following statements is NOT true about the effect of ...
We observe decrease in the molecules having Ump but increase in the molecules having Urms .
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Which one of the following statements is NOT true about the effect of an increase in temperature on the distribution of molecular speeds in a gas? [2005]a)The area under the distribution curve remains the same as under the lower temperatureb)The distribution becomes broaderc)The fraction of the molecules with the most probable speed increasesd)The most probable speed increasesCorrect answer is option 'C'. Can you explain this answer?
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Which one of the following statements is NOT true about the effect of an increase in temperature on the distribution of molecular speeds in a gas? [2005]a)The area under the distribution curve remains the same as under the lower temperatureb)The distribution becomes broaderc)The fraction of the molecules with the most probable speed increasesd)The most probable speed increasesCorrect answer is option 'C'. 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 Which one of the following statements is NOT true about the effect of an increase in temperature on the distribution of molecular speeds in a gas? [2005]a)The area under the distribution curve remains the same as under the lower temperatureb)The distribution becomes broaderc)The fraction of the molecules with the most probable speed increasesd)The most probable speed increasesCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which one of the following statements is NOT true about the effect of an increase in temperature on the distribution of molecular speeds in a gas? [2005]a)The area under the distribution curve remains the same as under the lower temperatureb)The distribution becomes broaderc)The fraction of the molecules with the most probable speed increasesd)The most probable speed increasesCorrect answer is option 'C'. Can you explain this answer?.
Which one of the following statements is NOT true about the effect of an increase in temperature on the distribution of molecular speeds in a gas? [2005]a)The area under the distribution curve remains the same as under the lower temperatureb)The distribution becomes broaderc)The fraction of the molecules with the most probable speed increasesd)The most probable speed increasesCorrect answer is option 'C'. 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 Which one of the following statements is NOT true about the effect of an increase in temperature on the distribution of molecular speeds in a gas? [2005]a)The area under the distribution curve remains the same as under the lower temperatureb)The distribution becomes broaderc)The fraction of the molecules with the most probable speed increasesd)The most probable speed increasesCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which one of the following statements is NOT true about the effect of an increase in temperature on the distribution of molecular speeds in a gas? [2005]a)The area under the distribution curve remains the same as under the lower temperatureb)The distribution becomes broaderc)The fraction of the molecules with the most probable speed increasesd)The most probable speed increasesCorrect answer is option 'C'. Can you explain this answer?.
Solutions for Which one of the following statements is NOT true about the effect of an increase in temperature on the distribution of molecular speeds in a gas? [2005]a)The area under the distribution curve remains the same as under the lower temperatureb)The distribution becomes broaderc)The fraction of the molecules with the most probable speed increasesd)The most probable speed increasesCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
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Which one of the following statements is NOT true about the effect of an increase in temperature on the distribution of molecular speeds in a gas? [2005]a)The area under the distribution curve remains the same as under the lower temperatureb)The distribution becomes broaderc)The fraction of the molecules with the most probable speed increasesd)The most probable speed increasesCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for Which one of the following statements is NOT true about the effect of an increase in temperature on the distribution of molecular speeds in a gas? [2005]a)The area under the distribution curve remains the same as under the lower temperatureb)The distribution becomes broaderc)The fraction of the molecules with the most probable speed increasesd)The most probable speed increasesCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of Which one of the following statements is NOT true about the effect of an increase in temperature on the distribution of molecular speeds in a gas? [2005]a)The area under the distribution curve remains the same as under the lower temperatureb)The distribution becomes broaderc)The fraction of the molecules with the most probable speed increasesd)The most probable speed increasesCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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