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Indicate the correct statement for a 1-L sample of N2(g) and CO2(g) at 298 K and 1 atm pressure:
  • a)
    The average translational KE per molecule is the same in N2  and CO2           
  • b)
    The rms speed remains constant for both N2 and CO          
  • c)
    The density of N2 is less than that of CO2           
  • d)
    The total translation KE of both N2 and CO2 is the same
Correct answer is option 'A,C,D'. Can you explain this answer?
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Indicate the correct statement for a 1-L sample of N2(g) and CO2(g) at...
Answer:

Average translational KE per molecule:

The average translational KE per molecule is directly proportional to the temperature of the gas. Since both N2 and CO2 are at the same temperature, they have the same average translational KE per molecule.

Density of N2 and CO2:

The density of a gas is directly proportional to its molar mass and inversely proportional to its temperature and pressure. The molar mass of N2 is less than that of CO2, so the density of N2 is less than that of CO2. Therefore, option (c) is correct.

Total translational KE of N2 and CO2:

The total translational KE of a gas sample is directly proportional to its temperature and the number of molecules in the sample. Since both N2 and CO2 are at the same temperature and have the same volume, they have the same number of molecules. Therefore, the total translational KE of both N2 and CO2 is the same. Thus, option (d) is also correct.

RMS speed remains constant:

The root mean square (RMS) speed of a gas is directly proportional to the square root of its temperature and inversely proportional to the square root of its molar mass. Since N2 and CO2 are at the same temperature, their RMS speed will be the same only if their molar masses are the same. However, the molar mass of N2 is less than that of CO2, so the RMS speed of N2 is greater than the RMS speed of CO2. Therefore, option (b) is incorrect.

Conclusion:

Therefore, the correct options are (a), (c), and (d).
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Indicate the correct statement for a 1-L sample of N2(g) and CO2(g) at...
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Indicate the correct statement for a 1-L sample of N2(g) and CO2(g) at 298 K and 1 atm pressure:a)The average translational KE per molecule is the same in N2 and CO2b)The rms speed remains constant for both N2 and CO2c)The density of N2 is less than that of CO2d)The total translation KE of both N2 and CO2 is the sameCorrect answer is option 'A,C,D'. Can you explain this answer?
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Indicate the correct statement for a 1-L sample of N2(g) and CO2(g) at 298 K and 1 atm pressure:a)The average translational KE per molecule is the same in N2 and CO2b)The rms speed remains constant for both N2 and CO2c)The density of N2 is less than that of CO2d)The total translation KE of both N2 and CO2 is the sameCorrect answer is option 'A,C,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 Indicate the correct statement for a 1-L sample of N2(g) and CO2(g) at 298 K and 1 atm pressure:a)The average translational KE per molecule is the same in N2 and CO2b)The rms speed remains constant for both N2 and CO2c)The density of N2 is less than that of CO2d)The total translation KE of both N2 and CO2 is the sameCorrect answer is option 'A,C,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 Indicate the correct statement for a 1-L sample of N2(g) and CO2(g) at 298 K and 1 atm pressure:a)The average translational KE per molecule is the same in N2 and CO2b)The rms speed remains constant for both N2 and CO2c)The density of N2 is less than that of CO2d)The total translation KE of both N2 and CO2 is the sameCorrect answer is option 'A,C,D'. Can you explain this answer?.
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