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Indicate the correct statement for equal volume of N2(g) and CO2(g) at 25°C and 1 atm:

  • a)
    The average translat ional K.E. per molecule is the same for N2 and CO2

  • b)
    The density of N2 is less than that of CO2

  • c)
    All of these

  • d)
    The total translational K.E. of both N2 and CO2 is the same

Correct answer is option 'C'. Can you explain this answer?
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Indicate the correct statement for equal volume of N2(g) and CO2(g) at...
Explanation:

The correct statement for equal volume of N2(g) and CO2(g) at 25C and 1 atm is that the density of N2 is less than that of CO2.

Reasoning:

The density of a gas is directly proportional to its molecular weight. The molecular weight of N2 is 28 g/mol, whereas the molecular weight of CO2 is 44 g/mol. Since the molecular weight of CO2 is greater than that of N2, the density of CO2 is greater than that of N2.

The average translational K.E. per molecule is the same for N2 and CO2:

The average translational kinetic energy per molecule is given by the formula:

1/2 mv2 = (3/2) kT

Where m is the mass of the molecule, v is its velocity, k is the Boltzmann constant, and T is the temperature in kelvin. Since the temperature and the mass of the molecules are the same for both N2 and CO2, the average translational kinetic energy per molecule is also the same.

The rms speed remains same for both N2 and CO2:

The root-mean-square (rms) speed of a gas molecule is given by the formula:

vrms = √(3kT/m)

Where m is the mass of the molecule, k is the Boltzmann constant, and T is the temperature in kelvin. Since the temperature and the mass of the molecules are the same for both N2 and CO2, the rms speed of the molecules is also the same.

The total translational K.E. of both N2 and CO2 is the same:

The total translational kinetic energy of a gas is given by the formula:

KE = (3/2) NkT

Where N is the number of molecules, k is the Boltzmann constant, and T is the temperature in kelvin. Since the temperature and the number of molecules are the same for both N2 and CO2, the total translational kinetic energy of both gases is the same.

Conclusion:

Hence, the correct statement for equal volume of N2(g) and CO2(g) at 25C and 1 atm is that the density of N2 is less than that of CO2.
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Indicate the correct statement for equal volume of N2(g) and CO2(g) at 25°C and 1 atm:a)The average translat ional K.E. per molecule is the same for N2 and CO2b)The density of N2 is less than that of CO2c)All of thesed)The total translational K.E. of both N2 and CO2 is the sameCorrect answer is option 'C'. Can you explain this answer?
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Indicate the correct statement for equal volume of N2(g) and CO2(g) at 25°C and 1 atm:a)The average translat ional K.E. per molecule is the same for N2 and CO2b)The density of N2 is less than that of CO2c)All of thesed)The total translational K.E. of both N2 and CO2 is the sameCorrect answer is option 'C'. 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 Indicate the correct statement for equal volume of N2(g) and CO2(g) at 25°C and 1 atm:a)The average translat ional K.E. per molecule is the same for N2 and CO2b)The density of N2 is less than that of CO2c)All of thesed)The total translational K.E. of both N2 and CO2 is the sameCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Chemistry 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Indicate the correct statement for equal volume of N2(g) and CO2(g) at 25°C and 1 atm:a)The average translat ional K.E. per molecule is the same for N2 and CO2b)The density of N2 is less than that of CO2c)All of thesed)The total translational K.E. of both N2 and CO2 is the sameCorrect answer is option 'C'. Can you explain this answer?.
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