Molecular Speeds and Maxwell – Boltzmann Distribution Curves
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CHXI06:STATES OF MATTER

314308 For two gases, \(\mathrm{A}\) and \(\mathrm{B}\) with molecular masses \(\mathrm{M_{A}}\), and \(\mathrm{M_{B}}\), it is observed that at a certain temperature \(\mathrm{\mathrm{T}}\) the mean velocity of \(\mathrm{\mathrm{A}}\) is equal to the root mean square velocity of \(\mathrm{\mathrm{B}}\). Thus, the mean velocity of \(\mathrm{A}\) can be made equal to the mean velocity of \(\mathrm{B}\), if

1 A is at temperature T, and B at \(\mathrm{T_{2}, T_{2}>T}\)
2 A is lowered to a temperature \(\mathrm{T_{2} < T}\) while \(\mathrm{B}\) is at \(\mathrm{T}\)
3 Both A and B are raised to a higher temperature.
4 Both A and B are placed at lower temperature
CHXI06:STATES OF MATTER

314309 Which of the following statement is incorrect?

1 RMS velocity depends on the molecular weight of the gas.
2 R.M.S. velocity depends on temperature of the gas.
3 R.M.S. velocity depends on the number of molecules present in unit volume.
4 R.M.S velocity is greater than average velocity and most probable velocity.
CHXI06:STATES OF MATTER

314310 At what temperature will the average speed of \(\mathrm{\mathrm{CH}_{4}}\) molecules have the same value as \(\mathrm{\mathrm{O}_{2}}\) gas at \(\mathrm{300 \mathrm{~K}}\) ?

1 \(\mathrm{1200 \mathrm{~K}}\)
2 \(\mathrm{150 \mathrm{~K}}\)
3 \(\mathrm{600 \mathrm{~K}}\)
4 \(\mathrm{300 \mathrm{~K}}\)
CHXI06:STATES OF MATTER

314311 At what temperature will average speed of the molecule of the second member of the series \(\mathrm{\mathrm{C}_{n} \mathrm{H}_{2 n}}\) be the same of \(\mathrm{\mathrm{Cl}_{2}}\) at \(\mathrm{627^{\circ} \mathrm{C}}\) ?

1 \(\mathrm{259.4 \mathrm{~K}}\)
2 \(\mathrm{400 \mathrm{~K}}\)
3 \(\mathrm{532.4 \mathrm{~K}}\)
4 None of these
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CHXI06:STATES OF MATTER

314308 For two gases, \(\mathrm{A}\) and \(\mathrm{B}\) with molecular masses \(\mathrm{M_{A}}\), and \(\mathrm{M_{B}}\), it is observed that at a certain temperature \(\mathrm{\mathrm{T}}\) the mean velocity of \(\mathrm{\mathrm{A}}\) is equal to the root mean square velocity of \(\mathrm{\mathrm{B}}\). Thus, the mean velocity of \(\mathrm{A}\) can be made equal to the mean velocity of \(\mathrm{B}\), if

1 A is at temperature T, and B at \(\mathrm{T_{2}, T_{2}>T}\)
2 A is lowered to a temperature \(\mathrm{T_{2} < T}\) while \(\mathrm{B}\) is at \(\mathrm{T}\)
3 Both A and B are raised to a higher temperature.
4 Both A and B are placed at lower temperature
CHXI06:STATES OF MATTER

314309 Which of the following statement is incorrect?

1 RMS velocity depends on the molecular weight of the gas.
2 R.M.S. velocity depends on temperature of the gas.
3 R.M.S. velocity depends on the number of molecules present in unit volume.
4 R.M.S velocity is greater than average velocity and most probable velocity.
CHXI06:STATES OF MATTER

314310 At what temperature will the average speed of \(\mathrm{\mathrm{CH}_{4}}\) molecules have the same value as \(\mathrm{\mathrm{O}_{2}}\) gas at \(\mathrm{300 \mathrm{~K}}\) ?

1 \(\mathrm{1200 \mathrm{~K}}\)
2 \(\mathrm{150 \mathrm{~K}}\)
3 \(\mathrm{600 \mathrm{~K}}\)
4 \(\mathrm{300 \mathrm{~K}}\)
CHXI06:STATES OF MATTER

314311 At what temperature will average speed of the molecule of the second member of the series \(\mathrm{\mathrm{C}_{n} \mathrm{H}_{2 n}}\) be the same of \(\mathrm{\mathrm{Cl}_{2}}\) at \(\mathrm{627^{\circ} \mathrm{C}}\) ?

1 \(\mathrm{259.4 \mathrm{~K}}\)
2 \(\mathrm{400 \mathrm{~K}}\)
3 \(\mathrm{532.4 \mathrm{~K}}\)
4 None of these
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CHXI06:STATES OF MATTER

314308 For two gases, \(\mathrm{A}\) and \(\mathrm{B}\) with molecular masses \(\mathrm{M_{A}}\), and \(\mathrm{M_{B}}\), it is observed that at a certain temperature \(\mathrm{\mathrm{T}}\) the mean velocity of \(\mathrm{\mathrm{A}}\) is equal to the root mean square velocity of \(\mathrm{\mathrm{B}}\). Thus, the mean velocity of \(\mathrm{A}\) can be made equal to the mean velocity of \(\mathrm{B}\), if

1 A is at temperature T, and B at \(\mathrm{T_{2}, T_{2}>T}\)
2 A is lowered to a temperature \(\mathrm{T_{2} < T}\) while \(\mathrm{B}\) is at \(\mathrm{T}\)
3 Both A and B are raised to a higher temperature.
4 Both A and B are placed at lower temperature
CHXI06:STATES OF MATTER

314309 Which of the following statement is incorrect?

1 RMS velocity depends on the molecular weight of the gas.
2 R.M.S. velocity depends on temperature of the gas.
3 R.M.S. velocity depends on the number of molecules present in unit volume.
4 R.M.S velocity is greater than average velocity and most probable velocity.
CHXI06:STATES OF MATTER

314310 At what temperature will the average speed of \(\mathrm{\mathrm{CH}_{4}}\) molecules have the same value as \(\mathrm{\mathrm{O}_{2}}\) gas at \(\mathrm{300 \mathrm{~K}}\) ?

1 \(\mathrm{1200 \mathrm{~K}}\)
2 \(\mathrm{150 \mathrm{~K}}\)
3 \(\mathrm{600 \mathrm{~K}}\)
4 \(\mathrm{300 \mathrm{~K}}\)
CHXI06:STATES OF MATTER

314311 At what temperature will average speed of the molecule of the second member of the series \(\mathrm{\mathrm{C}_{n} \mathrm{H}_{2 n}}\) be the same of \(\mathrm{\mathrm{Cl}_{2}}\) at \(\mathrm{627^{\circ} \mathrm{C}}\) ?

1 \(\mathrm{259.4 \mathrm{~K}}\)
2 \(\mathrm{400 \mathrm{~K}}\)
3 \(\mathrm{532.4 \mathrm{~K}}\)
4 None of these
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CHXI06:STATES OF MATTER

314308 For two gases, \(\mathrm{A}\) and \(\mathrm{B}\) with molecular masses \(\mathrm{M_{A}}\), and \(\mathrm{M_{B}}\), it is observed that at a certain temperature \(\mathrm{\mathrm{T}}\) the mean velocity of \(\mathrm{\mathrm{A}}\) is equal to the root mean square velocity of \(\mathrm{\mathrm{B}}\). Thus, the mean velocity of \(\mathrm{A}\) can be made equal to the mean velocity of \(\mathrm{B}\), if

1 A is at temperature T, and B at \(\mathrm{T_{2}, T_{2}>T}\)
2 A is lowered to a temperature \(\mathrm{T_{2} < T}\) while \(\mathrm{B}\) is at \(\mathrm{T}\)
3 Both A and B are raised to a higher temperature.
4 Both A and B are placed at lower temperature
CHXI06:STATES OF MATTER

314309 Which of the following statement is incorrect?

1 RMS velocity depends on the molecular weight of the gas.
2 R.M.S. velocity depends on temperature of the gas.
3 R.M.S. velocity depends on the number of molecules present in unit volume.
4 R.M.S velocity is greater than average velocity and most probable velocity.
CHXI06:STATES OF MATTER

314310 At what temperature will the average speed of \(\mathrm{\mathrm{CH}_{4}}\) molecules have the same value as \(\mathrm{\mathrm{O}_{2}}\) gas at \(\mathrm{300 \mathrm{~K}}\) ?

1 \(\mathrm{1200 \mathrm{~K}}\)
2 \(\mathrm{150 \mathrm{~K}}\)
3 \(\mathrm{600 \mathrm{~K}}\)
4 \(\mathrm{300 \mathrm{~K}}\)
CHXI06:STATES OF MATTER

314311 At what temperature will average speed of the molecule of the second member of the series \(\mathrm{\mathrm{C}_{n} \mathrm{H}_{2 n}}\) be the same of \(\mathrm{\mathrm{Cl}_{2}}\) at \(\mathrm{627^{\circ} \mathrm{C}}\) ?

1 \(\mathrm{259.4 \mathrm{~K}}\)
2 \(\mathrm{400 \mathrm{~K}}\)
3 \(\mathrm{532.4 \mathrm{~K}}\)
4 None of these
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