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

314333 Which of the following relations regarding molecular velocities are true?
(I) Most probable velocity \(\mathrm{=0.8166 \times}\) RMS
(II) RMS velocity \(\mathrm{=0.9213 \times}\) Average velocity
(III) Average velocity \(\mathrm{=\sqrt{\dfrac{8 R T}{\pi M}}}\)
(IV) \(\mathrm{\mathrm{C}_{\mathrm{P}}>\overline{\mathbf{C}}>\mathrm{C}}\)

1 II, III
2 I, IV
3 III, IV
4 I, III
CHXI06:STATES OF MATTER

314334 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?

1 The area under the distribution curve remains the same as under the lower temperature
2 The fraction of the molecules with the most probable speed increases
3 The distribution becomes broader
4 The most probable speed increases
CHXI06:STATES OF MATTER

314335 The average molecular speed is greatest in which of the following gas samples?

1 \({\rm{1}}{\rm{.0\;mol\;}}{{\rm{N}}_{\rm{2}}}\,\,{\rm{at 560\;K}}\)
2 \(\mathrm{0.50 \mathrm{~mol}}\) of \(\mathrm{\mathrm{Ne}}\) at \(\mathrm{500 \mathrm{~K}}\)
3 \({\rm{0}}{\rm{.20}}\,{\rm{mol}}\,{\rm{C}}{{\rm{O}}_{\rm{2}}}\,\,{\rm{at}}\,\,{\rm{440\;K}}\)
4 \(\mathrm{2.0 \mathrm{~mol}}\) of \(\mathrm{\mathrm{He}}\) at \(\mathrm{140 \mathrm{~K}}\)
CHXI06:STATES OF MATTER

314336 The root mean square velocity of hydrogen is \(\mathrm{\sqrt{5}}\) times than that of nitrogen. If \(\mathrm{\mathrm{T}}\) is the temperature of the gas, then:

1 \(\mathrm{T_{H_{2}}=T_{N_{2}}}\)
2 \(\mathrm{T_{H_{2}}>T_{N_{2}}}\)
3 \(\mathrm{T_{H_{2}} < T_{N_{2}}}\)
4 \(\mathrm{T_{H_{2}}=\sqrt{7} T_{N_{2}}}\)
CHXI06:STATES OF MATTER

314337 A gas \(\mathrm{X_{2} Y_{4}}\) at \(\mathrm{35^{\circ} \mathrm{C}}\) has RMS speed \(\mathrm{12 \mathrm{~m} / \mathrm{s}}\). On heating the gas twice to the original absolute temperature, the dimer totally dissociated to give monomer. What is the RMS speed of \(\mathrm{X Y_{2}}\) molecule at the given elevated temperature?

1 \(\mathrm{24 \mathrm{~m} / \mathrm{s}}\)
2 \(\mathrm{30 \mathrm{~m} / \mathrm{s}}\)
3 \(\mathrm{18 \mathrm{~m} / \mathrm{s}}\)
4 \(\mathrm{32 \mathrm{~m} / \mathrm{s}}\)
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CHXI06:STATES OF MATTER

314333 Which of the following relations regarding molecular velocities are true?
(I) Most probable velocity \(\mathrm{=0.8166 \times}\) RMS
(II) RMS velocity \(\mathrm{=0.9213 \times}\) Average velocity
(III) Average velocity \(\mathrm{=\sqrt{\dfrac{8 R T}{\pi M}}}\)
(IV) \(\mathrm{\mathrm{C}_{\mathrm{P}}>\overline{\mathbf{C}}>\mathrm{C}}\)

1 II, III
2 I, IV
3 III, IV
4 I, III
CHXI06:STATES OF MATTER

314334 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?

1 The area under the distribution curve remains the same as under the lower temperature
2 The fraction of the molecules with the most probable speed increases
3 The distribution becomes broader
4 The most probable speed increases
CHXI06:STATES OF MATTER

314335 The average molecular speed is greatest in which of the following gas samples?

1 \({\rm{1}}{\rm{.0\;mol\;}}{{\rm{N}}_{\rm{2}}}\,\,{\rm{at 560\;K}}\)
2 \(\mathrm{0.50 \mathrm{~mol}}\) of \(\mathrm{\mathrm{Ne}}\) at \(\mathrm{500 \mathrm{~K}}\)
3 \({\rm{0}}{\rm{.20}}\,{\rm{mol}}\,{\rm{C}}{{\rm{O}}_{\rm{2}}}\,\,{\rm{at}}\,\,{\rm{440\;K}}\)
4 \(\mathrm{2.0 \mathrm{~mol}}\) of \(\mathrm{\mathrm{He}}\) at \(\mathrm{140 \mathrm{~K}}\)
CHXI06:STATES OF MATTER

314336 The root mean square velocity of hydrogen is \(\mathrm{\sqrt{5}}\) times than that of nitrogen. If \(\mathrm{\mathrm{T}}\) is the temperature of the gas, then:

1 \(\mathrm{T_{H_{2}}=T_{N_{2}}}\)
2 \(\mathrm{T_{H_{2}}>T_{N_{2}}}\)
3 \(\mathrm{T_{H_{2}} < T_{N_{2}}}\)
4 \(\mathrm{T_{H_{2}}=\sqrt{7} T_{N_{2}}}\)
CHXI06:STATES OF MATTER

314337 A gas \(\mathrm{X_{2} Y_{4}}\) at \(\mathrm{35^{\circ} \mathrm{C}}\) has RMS speed \(\mathrm{12 \mathrm{~m} / \mathrm{s}}\). On heating the gas twice to the original absolute temperature, the dimer totally dissociated to give monomer. What is the RMS speed of \(\mathrm{X Y_{2}}\) molecule at the given elevated temperature?

1 \(\mathrm{24 \mathrm{~m} / \mathrm{s}}\)
2 \(\mathrm{30 \mathrm{~m} / \mathrm{s}}\)
3 \(\mathrm{18 \mathrm{~m} / \mathrm{s}}\)
4 \(\mathrm{32 \mathrm{~m} / \mathrm{s}}\)
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CHXI06:STATES OF MATTER

314333 Which of the following relations regarding molecular velocities are true?
(I) Most probable velocity \(\mathrm{=0.8166 \times}\) RMS
(II) RMS velocity \(\mathrm{=0.9213 \times}\) Average velocity
(III) Average velocity \(\mathrm{=\sqrt{\dfrac{8 R T}{\pi M}}}\)
(IV) \(\mathrm{\mathrm{C}_{\mathrm{P}}>\overline{\mathbf{C}}>\mathrm{C}}\)

1 II, III
2 I, IV
3 III, IV
4 I, III
CHXI06:STATES OF MATTER

314334 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?

1 The area under the distribution curve remains the same as under the lower temperature
2 The fraction of the molecules with the most probable speed increases
3 The distribution becomes broader
4 The most probable speed increases
CHXI06:STATES OF MATTER

314335 The average molecular speed is greatest in which of the following gas samples?

1 \({\rm{1}}{\rm{.0\;mol\;}}{{\rm{N}}_{\rm{2}}}\,\,{\rm{at 560\;K}}\)
2 \(\mathrm{0.50 \mathrm{~mol}}\) of \(\mathrm{\mathrm{Ne}}\) at \(\mathrm{500 \mathrm{~K}}\)
3 \({\rm{0}}{\rm{.20}}\,{\rm{mol}}\,{\rm{C}}{{\rm{O}}_{\rm{2}}}\,\,{\rm{at}}\,\,{\rm{440\;K}}\)
4 \(\mathrm{2.0 \mathrm{~mol}}\) of \(\mathrm{\mathrm{He}}\) at \(\mathrm{140 \mathrm{~K}}\)
CHXI06:STATES OF MATTER

314336 The root mean square velocity of hydrogen is \(\mathrm{\sqrt{5}}\) times than that of nitrogen. If \(\mathrm{\mathrm{T}}\) is the temperature of the gas, then:

1 \(\mathrm{T_{H_{2}}=T_{N_{2}}}\)
2 \(\mathrm{T_{H_{2}}>T_{N_{2}}}\)
3 \(\mathrm{T_{H_{2}} < T_{N_{2}}}\)
4 \(\mathrm{T_{H_{2}}=\sqrt{7} T_{N_{2}}}\)
CHXI06:STATES OF MATTER

314337 A gas \(\mathrm{X_{2} Y_{4}}\) at \(\mathrm{35^{\circ} \mathrm{C}}\) has RMS speed \(\mathrm{12 \mathrm{~m} / \mathrm{s}}\). On heating the gas twice to the original absolute temperature, the dimer totally dissociated to give monomer. What is the RMS speed of \(\mathrm{X Y_{2}}\) molecule at the given elevated temperature?

1 \(\mathrm{24 \mathrm{~m} / \mathrm{s}}\)
2 \(\mathrm{30 \mathrm{~m} / \mathrm{s}}\)
3 \(\mathrm{18 \mathrm{~m} / \mathrm{s}}\)
4 \(\mathrm{32 \mathrm{~m} / \mathrm{s}}\)
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CHXI06:STATES OF MATTER

314333 Which of the following relations regarding molecular velocities are true?
(I) Most probable velocity \(\mathrm{=0.8166 \times}\) RMS
(II) RMS velocity \(\mathrm{=0.9213 \times}\) Average velocity
(III) Average velocity \(\mathrm{=\sqrt{\dfrac{8 R T}{\pi M}}}\)
(IV) \(\mathrm{\mathrm{C}_{\mathrm{P}}>\overline{\mathbf{C}}>\mathrm{C}}\)

1 II, III
2 I, IV
3 III, IV
4 I, III
CHXI06:STATES OF MATTER

314334 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?

1 The area under the distribution curve remains the same as under the lower temperature
2 The fraction of the molecules with the most probable speed increases
3 The distribution becomes broader
4 The most probable speed increases
CHXI06:STATES OF MATTER

314335 The average molecular speed is greatest in which of the following gas samples?

1 \({\rm{1}}{\rm{.0\;mol\;}}{{\rm{N}}_{\rm{2}}}\,\,{\rm{at 560\;K}}\)
2 \(\mathrm{0.50 \mathrm{~mol}}\) of \(\mathrm{\mathrm{Ne}}\) at \(\mathrm{500 \mathrm{~K}}\)
3 \({\rm{0}}{\rm{.20}}\,{\rm{mol}}\,{\rm{C}}{{\rm{O}}_{\rm{2}}}\,\,{\rm{at}}\,\,{\rm{440\;K}}\)
4 \(\mathrm{2.0 \mathrm{~mol}}\) of \(\mathrm{\mathrm{He}}\) at \(\mathrm{140 \mathrm{~K}}\)
CHXI06:STATES OF MATTER

314336 The root mean square velocity of hydrogen is \(\mathrm{\sqrt{5}}\) times than that of nitrogen. If \(\mathrm{\mathrm{T}}\) is the temperature of the gas, then:

1 \(\mathrm{T_{H_{2}}=T_{N_{2}}}\)
2 \(\mathrm{T_{H_{2}}>T_{N_{2}}}\)
3 \(\mathrm{T_{H_{2}} < T_{N_{2}}}\)
4 \(\mathrm{T_{H_{2}}=\sqrt{7} T_{N_{2}}}\)
CHXI06:STATES OF MATTER

314337 A gas \(\mathrm{X_{2} Y_{4}}\) at \(\mathrm{35^{\circ} \mathrm{C}}\) has RMS speed \(\mathrm{12 \mathrm{~m} / \mathrm{s}}\). On heating the gas twice to the original absolute temperature, the dimer totally dissociated to give monomer. What is the RMS speed of \(\mathrm{X Y_{2}}\) molecule at the given elevated temperature?

1 \(\mathrm{24 \mathrm{~m} / \mathrm{s}}\)
2 \(\mathrm{30 \mathrm{~m} / \mathrm{s}}\)
3 \(\mathrm{18 \mathrm{~m} / \mathrm{s}}\)
4 \(\mathrm{32 \mathrm{~m} / \mathrm{s}}\)
NEET DIGITAL LIBRARY
CHXI06:STATES OF MATTER

314333 Which of the following relations regarding molecular velocities are true?
(I) Most probable velocity \(\mathrm{=0.8166 \times}\) RMS
(II) RMS velocity \(\mathrm{=0.9213 \times}\) Average velocity
(III) Average velocity \(\mathrm{=\sqrt{\dfrac{8 R T}{\pi M}}}\)
(IV) \(\mathrm{\mathrm{C}_{\mathrm{P}}>\overline{\mathbf{C}}>\mathrm{C}}\)

1 II, III
2 I, IV
3 III, IV
4 I, III
CHXI06:STATES OF MATTER

314334 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?

1 The area under the distribution curve remains the same as under the lower temperature
2 The fraction of the molecules with the most probable speed increases
3 The distribution becomes broader
4 The most probable speed increases
CHXI06:STATES OF MATTER

314335 The average molecular speed is greatest in which of the following gas samples?

1 \({\rm{1}}{\rm{.0\;mol\;}}{{\rm{N}}_{\rm{2}}}\,\,{\rm{at 560\;K}}\)
2 \(\mathrm{0.50 \mathrm{~mol}}\) of \(\mathrm{\mathrm{Ne}}\) at \(\mathrm{500 \mathrm{~K}}\)
3 \({\rm{0}}{\rm{.20}}\,{\rm{mol}}\,{\rm{C}}{{\rm{O}}_{\rm{2}}}\,\,{\rm{at}}\,\,{\rm{440\;K}}\)
4 \(\mathrm{2.0 \mathrm{~mol}}\) of \(\mathrm{\mathrm{He}}\) at \(\mathrm{140 \mathrm{~K}}\)
CHXI06:STATES OF MATTER

314336 The root mean square velocity of hydrogen is \(\mathrm{\sqrt{5}}\) times than that of nitrogen. If \(\mathrm{\mathrm{T}}\) is the temperature of the gas, then:

1 \(\mathrm{T_{H_{2}}=T_{N_{2}}}\)
2 \(\mathrm{T_{H_{2}}>T_{N_{2}}}\)
3 \(\mathrm{T_{H_{2}} < T_{N_{2}}}\)
4 \(\mathrm{T_{H_{2}}=\sqrt{7} T_{N_{2}}}\)
CHXI06:STATES OF MATTER

314337 A gas \(\mathrm{X_{2} Y_{4}}\) at \(\mathrm{35^{\circ} \mathrm{C}}\) has RMS speed \(\mathrm{12 \mathrm{~m} / \mathrm{s}}\). On heating the gas twice to the original absolute temperature, the dimer totally dissociated to give monomer. What is the RMS speed of \(\mathrm{X Y_{2}}\) molecule at the given elevated temperature?

1 \(\mathrm{24 \mathrm{~m} / \mathrm{s}}\)
2 \(\mathrm{30 \mathrm{~m} / \mathrm{s}}\)
3 \(\mathrm{18 \mathrm{~m} / \mathrm{s}}\)
4 \(\mathrm{32 \mathrm{~m} / \mathrm{s}}\)