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Consider the following statement regarding Maxwell’s distribution of velocities. The correct statement(s) is/are:
- a)As temperature increases, the peak (maxima) of a curve is shifted towards right side
- b)As temperature increases, the most probable velocity of molecules increases but fraction of molecules of maximum velocity decreases
- c)The area under the curve at all the temperature is the same because it represents the number of gaseous molecules
- d)The fractions of molecules having different velocities at a given temperature
Correct answer is option 'D'. Can you explain this answer?
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Consider the following statement regarding Maxwells distribution of ve...
**Explanation:**
The Maxwell-Boltzmann distribution describes the distribution of velocities of molecules in a gas at a given temperature. It is a probability density function that gives the fraction of molecules with different velocities. The correct statement regarding Maxwell's distribution of velocities is option 'D'.
**Explanation of option D: The fractions of molecules having different velocities at a given temperature**
The Maxwell-Boltzmann distribution shows that at a given temperature, there is a range of velocities at which molecules can exist. The distribution is a smooth curve that peaks at a certain velocity, called the most probable velocity. The area under the curve represents the total number of molecules in the gas.
At a given temperature, the fraction of molecules with different velocities can be determined by calculating the area under the curve for a specific velocity range. The fraction of molecules with a particular velocity is proportional to the area under the curve in that velocity range.
For example, if we consider two different velocities, V1 and V2, and calculate the areas under the curve for those velocities, A1 and A2 respectively, then the fraction of molecules with velocity V1 is A1 divided by the total area under the curve, and the fraction of molecules with velocity V2 is A2 divided by the total area under the curve.
This means that the fractions of molecules having different velocities at a given temperature can be determined by calculating the areas under the curve for different velocity ranges.
The other options (a, b, and c) are incorrect statements regarding Maxwell's distribution of velocities.
**Explanation of option a: As temperature increases, the peak (maxima) of a curve is shifted towards the right side**
This statement is incorrect. According to the Maxwell-Boltzmann distribution, as temperature increases, the curve becomes broader and flatter, but the position of the peak does not shift towards the right or left. The peak represents the most probable velocity, and it remains at the same velocity.
**Explanation of option b: As temperature increases, the most probable velocity of molecules increases but the fraction of molecules of maximum velocity decreases**
This statement is also incorrect. As temperature increases, the most probable velocity of molecules actually decreases. This is because at higher temperatures, there is more energy available to the molecules, and they can move faster. Therefore, the most probable velocity shifts towards lower values.
**Explanation of option c: The area under the curve at all temperatures is the same because it represents the number of gaseous molecules**
This statement is incorrect. The area under the curve represents the number of molecules with different velocities, but it is not the same at all temperatures. As temperature increases, the total number of molecules with higher velocities increases, and the area under the curve becomes larger. Similarly, at lower temperatures, the total number of molecules with lower velocities increases, and the area under the curve becomes smaller. Therefore, the area under the curve is temperature-dependent and not the same at all temperatures.
The Maxwell-Boltzmann distribution describes the distribution of velocities of molecules in a gas at a given temperature. It is a probability density function that gives the fraction of molecules with different velocities. The correct statement regarding Maxwell's distribution of velocities is option 'D'.
**Explanation of option D: The fractions of molecules having different velocities at a given temperature**
The Maxwell-Boltzmann distribution shows that at a given temperature, there is a range of velocities at which molecules can exist. The distribution is a smooth curve that peaks at a certain velocity, called the most probable velocity. The area under the curve represents the total number of molecules in the gas.
At a given temperature, the fraction of molecules with different velocities can be determined by calculating the area under the curve for a specific velocity range. The fraction of molecules with a particular velocity is proportional to the area under the curve in that velocity range.
For example, if we consider two different velocities, V1 and V2, and calculate the areas under the curve for those velocities, A1 and A2 respectively, then the fraction of molecules with velocity V1 is A1 divided by the total area under the curve, and the fraction of molecules with velocity V2 is A2 divided by the total area under the curve.
This means that the fractions of molecules having different velocities at a given temperature can be determined by calculating the areas under the curve for different velocity ranges.
The other options (a, b, and c) are incorrect statements regarding Maxwell's distribution of velocities.
**Explanation of option a: As temperature increases, the peak (maxima) of a curve is shifted towards the right side**
This statement is incorrect. According to the Maxwell-Boltzmann distribution, as temperature increases, the curve becomes broader and flatter, but the position of the peak does not shift towards the right or left. The peak represents the most probable velocity, and it remains at the same velocity.
**Explanation of option b: As temperature increases, the most probable velocity of molecules increases but the fraction of molecules of maximum velocity decreases**
This statement is also incorrect. As temperature increases, the most probable velocity of molecules actually decreases. This is because at higher temperatures, there is more energy available to the molecules, and they can move faster. Therefore, the most probable velocity shifts towards lower values.
**Explanation of option c: The area under the curve at all temperatures is the same because it represents the number of gaseous molecules**
This statement is incorrect. The area under the curve represents the number of molecules with different velocities, but it is not the same at all temperatures. As temperature increases, the total number of molecules with higher velocities increases, and the area under the curve becomes larger. Similarly, at lower temperatures, the total number of molecules with lower velocities increases, and the area under the curve becomes smaller. Therefore, the area under the curve is temperature-dependent and not the same at all temperatures.
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Consider the following statement regarding Maxwells distribution of velocities. The correct statement(s) is/are:a)As temperature increases, the peak (maxima) of a curve is shifted towards right sideb)As temperature increases, the most probable velocity of molecules increases but fraction of molecules of maximum velocity decreasesc)The area under the curve at all the temperature is the same because it represents the number of gaseous moleculesd)The fractions of molecules having different velocities at a given temperatureCorrect answer is option 'D'. Can you explain this answer?
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Consider the following statement regarding Maxwells distribution of velocities. The correct statement(s) is/are:a)As temperature increases, the peak (maxima) of a curve is shifted towards right sideb)As temperature increases, the most probable velocity of molecules increases but fraction of molecules of maximum velocity decreasesc)The area under the curve at all the temperature is the same because it represents the number of gaseous moleculesd)The fractions of molecules having different velocities at a given temperatureCorrect answer is option 'D'. Can you explain this answer? for Chemistry 2024 is part of Chemistry preparation. The Question and answers have been prepared according to the Chemistry exam syllabus. Information about Consider the following statement regarding Maxwells distribution of velocities. The correct statement(s) is/are:a)As temperature increases, the peak (maxima) of a curve is shifted towards right sideb)As temperature increases, the most probable velocity of molecules increases but fraction of molecules of maximum velocity decreasesc)The area under the curve at all the temperature is the same because it represents the number of gaseous moleculesd)The fractions of molecules having different velocities at a given temperatureCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Chemistry 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the following statement regarding Maxwells distribution of velocities. The correct statement(s) is/are:a)As temperature increases, the peak (maxima) of a curve is shifted towards right sideb)As temperature increases, the most probable velocity of molecules increases but fraction of molecules of maximum velocity decreasesc)The area under the curve at all the temperature is the same because it represents the number of gaseous moleculesd)The fractions of molecules having different velocities at a given temperatureCorrect answer is option 'D'. Can you explain this answer?.
Consider the following statement regarding Maxwells distribution of velocities. The correct statement(s) is/are:a)As temperature increases, the peak (maxima) of a curve is shifted towards right sideb)As temperature increases, the most probable velocity of molecules increases but fraction of molecules of maximum velocity decreasesc)The area under the curve at all the temperature is the same because it represents the number of gaseous moleculesd)The fractions of molecules having different velocities at a given temperatureCorrect answer is option 'D'. Can you explain this answer? for Chemistry 2024 is part of Chemistry preparation. The Question and answers have been prepared according to the Chemistry exam syllabus. Information about Consider the following statement regarding Maxwells distribution of velocities. The correct statement(s) is/are:a)As temperature increases, the peak (maxima) of a curve is shifted towards right sideb)As temperature increases, the most probable velocity of molecules increases but fraction of molecules of maximum velocity decreasesc)The area under the curve at all the temperature is the same because it represents the number of gaseous moleculesd)The fractions of molecules having different velocities at a given temperatureCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Chemistry 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the following statement regarding Maxwells distribution of velocities. The correct statement(s) is/are:a)As temperature increases, the peak (maxima) of a curve is shifted towards right sideb)As temperature increases, the most probable velocity of molecules increases but fraction of molecules of maximum velocity decreasesc)The area under the curve at all the temperature is the same because it represents the number of gaseous moleculesd)The fractions of molecules having different velocities at a given temperatureCorrect answer is option 'D'. Can you explain this answer?.
Solutions for Consider the following statement regarding Maxwells distribution of velocities. The correct statement(s) is/are:a)As temperature increases, the peak (maxima) of a curve is shifted towards right sideb)As temperature increases, the most probable velocity of molecules increases but fraction of molecules of maximum velocity decreasesc)The area under the curve at all the temperature is the same because it represents the number of gaseous moleculesd)The fractions of molecules having different velocities at a given temperatureCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Chemistry.
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Consider the following statement regarding Maxwells distribution of velocities. The correct statement(s) is/are:a)As temperature increases, the peak (maxima) of a curve is shifted towards right sideb)As temperature increases, the most probable velocity of molecules increases but fraction of molecules of maximum velocity decreasesc)The area under the curve at all the temperature is the same because it represents the number of gaseous moleculesd)The fractions of molecules having different velocities at a given temperatureCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for Consider the following statement regarding Maxwells distribution of velocities. The correct statement(s) is/are:a)As temperature increases, the peak (maxima) of a curve is shifted towards right sideb)As temperature increases, the most probable velocity of molecules increases but fraction of molecules of maximum velocity decreasesc)The area under the curve at all the temperature is the same because it represents the number of gaseous moleculesd)The fractions of molecules having different velocities at a given temperatureCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of Consider the following statement regarding Maxwells distribution of velocities. The correct statement(s) is/are:a)As temperature increases, the peak (maxima) of a curve is shifted towards right sideb)As temperature increases, the most probable velocity of molecules increases but fraction of molecules of maximum velocity decreasesc)The area under the curve at all the temperature is the same because it represents the number of gaseous moleculesd)The fractions of molecules having different velocities at a given temperatureCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Consider the following statement regarding Maxwells distribution of velocities. The correct statement(s) is/are:a)As temperature increases, the peak (maxima) of a curve is shifted towards right sideb)As temperature increases, the most probable velocity of molecules increases but fraction of molecules of maximum velocity decreasesc)The area under the curve at all the temperature is the same because it represents the number of gaseous moleculesd)The fractions of molecules having different velocities at a given temperatureCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice Chemistry tests.
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