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

314320 At STP, the order of root mean square velocity of molecules of \(\mathrm{\mathrm{H}_{2}, \mathrm{~N}_{2}, \mathrm{O}_{2}}\) and \(\mathrm{\mathrm{HBr}}\) is

1 \(\mathrm{\mathrm{N}_{2}>\mathrm{HBr}>\mathrm{O}_{2}>\mathrm{H}_{2}}\)
2 \(\mathrm{\mathrm{H}_{2}>\mathrm{N}_{2}>\mathrm{O}_{2}>\mathrm{HBr}}\)
3 \(\mathrm{\mathrm{HBr}>\mathrm{H}_{2}>\mathrm{O}_{2}>\mathrm{N}_{2}}\)
4 \(\mathrm{\mathrm{H}_{2}>\mathrm{O}_{2}>\mathrm{HBr}>\mathrm{N}_{2}}\)
CHXI06:STATES OF MATTER

314321 For two gases \(\mathrm{\mathrm{P}}\) and \(\mathrm{\mathrm{Q}}\) with molecular weights \(\mathrm{M_{P}}\) and \(\mathrm{M_{Q}}\). It is observed that at a certain temperature \(\mathrm{\mathrm{T} \mathrm{K}}\) the average velocity of \(\mathrm{\mathrm{P}}\) is equal to the root mean square velocity of \(\mathrm{\mathrm{Q}}\). Thus, the root mean square velocity of \(\mathrm{\mathrm{P}}\) and \(\mathrm{\mathrm{Q}}\) will be equal if

1 \(\mathrm{\mathrm{P}}\) is lowered to a temperature \(\mathrm{T_{2}}\) and \(\mathrm{T_{2} < T}\) and \(\mathrm{\mathrm{Q}}\) is maintained at temperature \(\mathrm{\mathrm{T}}\)
2 \(\mathrm{\mathrm{P}}\) is at a temperature \(\mathrm{\mathrm{T}}\) and \(\mathrm{\mathrm{Q}}\) at a temperature \(\mathrm{T_{2}}\) where \(\mathrm{T>T_{2}}\)
3 both \(\mathrm{\mathrm{P}}\) and \(\mathrm{\mathrm{Q}}\) are raised to higher temperature
4 both P and Q are placed to lower temperature.
CHXI06:STATES OF MATTER

314322 The relation between rms velocity, average velocity and most probable velocity (MPV) is

1 Average velocity \(\mathrm{>}\) rms velocity \(\mathrm{>}\) MPV
2 rms velocity \(\mathrm{>}\) average velocity \(\mathrm{>}\) MPV
3 rms velocity \(\mathrm{=}\) average velocity \(\mathrm{>}\) MPV
4 MVP > average velocity \(\mathrm{>}\) rms velocity
CHXI06:STATES OF MATTER

314324 Initially, the root mean square (rms) velocity of \(\mathrm{N_{2}}\) molecules at certain temperature is \(\mathrm{u}\). If this temperature is doubled and all the nitrogen molecules dissociate into nitrogen atoms, then the rms velocity will be :

1 \(\mathrm{2 u}\)
2 \(\mathrm{14 \mathrm{u}}\)
3 \(\mathrm{4 u}\)
4 \(\mathrm{\mathrm{u} / 2}\)
CHXI06:STATES OF MATTER

314320 At STP, the order of root mean square velocity of molecules of \(\mathrm{\mathrm{H}_{2}, \mathrm{~N}_{2}, \mathrm{O}_{2}}\) and \(\mathrm{\mathrm{HBr}}\) is

1 \(\mathrm{\mathrm{N}_{2}>\mathrm{HBr}>\mathrm{O}_{2}>\mathrm{H}_{2}}\)
2 \(\mathrm{\mathrm{H}_{2}>\mathrm{N}_{2}>\mathrm{O}_{2}>\mathrm{HBr}}\)
3 \(\mathrm{\mathrm{HBr}>\mathrm{H}_{2}>\mathrm{O}_{2}>\mathrm{N}_{2}}\)
4 \(\mathrm{\mathrm{H}_{2}>\mathrm{O}_{2}>\mathrm{HBr}>\mathrm{N}_{2}}\)
CHXI06:STATES OF MATTER

314321 For two gases \(\mathrm{\mathrm{P}}\) and \(\mathrm{\mathrm{Q}}\) with molecular weights \(\mathrm{M_{P}}\) and \(\mathrm{M_{Q}}\). It is observed that at a certain temperature \(\mathrm{\mathrm{T} \mathrm{K}}\) the average velocity of \(\mathrm{\mathrm{P}}\) is equal to the root mean square velocity of \(\mathrm{\mathrm{Q}}\). Thus, the root mean square velocity of \(\mathrm{\mathrm{P}}\) and \(\mathrm{\mathrm{Q}}\) will be equal if

1 \(\mathrm{\mathrm{P}}\) is lowered to a temperature \(\mathrm{T_{2}}\) and \(\mathrm{T_{2} < T}\) and \(\mathrm{\mathrm{Q}}\) is maintained at temperature \(\mathrm{\mathrm{T}}\)
2 \(\mathrm{\mathrm{P}}\) is at a temperature \(\mathrm{\mathrm{T}}\) and \(\mathrm{\mathrm{Q}}\) at a temperature \(\mathrm{T_{2}}\) where \(\mathrm{T>T_{2}}\)
3 both \(\mathrm{\mathrm{P}}\) and \(\mathrm{\mathrm{Q}}\) are raised to higher temperature
4 both P and Q are placed to lower temperature.
CHXI06:STATES OF MATTER

314322 The relation between rms velocity, average velocity and most probable velocity (MPV) is

1 Average velocity \(\mathrm{>}\) rms velocity \(\mathrm{>}\) MPV
2 rms velocity \(\mathrm{>}\) average velocity \(\mathrm{>}\) MPV
3 rms velocity \(\mathrm{=}\) average velocity \(\mathrm{>}\) MPV
4 MVP > average velocity \(\mathrm{>}\) rms velocity
CHXI06:STATES OF MATTER

314324 Initially, the root mean square (rms) velocity of \(\mathrm{N_{2}}\) molecules at certain temperature is \(\mathrm{u}\). If this temperature is doubled and all the nitrogen molecules dissociate into nitrogen atoms, then the rms velocity will be :

1 \(\mathrm{2 u}\)
2 \(\mathrm{14 \mathrm{u}}\)
3 \(\mathrm{4 u}\)
4 \(\mathrm{\mathrm{u} / 2}\)
CHXI06:STATES OF MATTER

314320 At STP, the order of root mean square velocity of molecules of \(\mathrm{\mathrm{H}_{2}, \mathrm{~N}_{2}, \mathrm{O}_{2}}\) and \(\mathrm{\mathrm{HBr}}\) is

1 \(\mathrm{\mathrm{N}_{2}>\mathrm{HBr}>\mathrm{O}_{2}>\mathrm{H}_{2}}\)
2 \(\mathrm{\mathrm{H}_{2}>\mathrm{N}_{2}>\mathrm{O}_{2}>\mathrm{HBr}}\)
3 \(\mathrm{\mathrm{HBr}>\mathrm{H}_{2}>\mathrm{O}_{2}>\mathrm{N}_{2}}\)
4 \(\mathrm{\mathrm{H}_{2}>\mathrm{O}_{2}>\mathrm{HBr}>\mathrm{N}_{2}}\)
CHXI06:STATES OF MATTER

314321 For two gases \(\mathrm{\mathrm{P}}\) and \(\mathrm{\mathrm{Q}}\) with molecular weights \(\mathrm{M_{P}}\) and \(\mathrm{M_{Q}}\). It is observed that at a certain temperature \(\mathrm{\mathrm{T} \mathrm{K}}\) the average velocity of \(\mathrm{\mathrm{P}}\) is equal to the root mean square velocity of \(\mathrm{\mathrm{Q}}\). Thus, the root mean square velocity of \(\mathrm{\mathrm{P}}\) and \(\mathrm{\mathrm{Q}}\) will be equal if

1 \(\mathrm{\mathrm{P}}\) is lowered to a temperature \(\mathrm{T_{2}}\) and \(\mathrm{T_{2} < T}\) and \(\mathrm{\mathrm{Q}}\) is maintained at temperature \(\mathrm{\mathrm{T}}\)
2 \(\mathrm{\mathrm{P}}\) is at a temperature \(\mathrm{\mathrm{T}}\) and \(\mathrm{\mathrm{Q}}\) at a temperature \(\mathrm{T_{2}}\) where \(\mathrm{T>T_{2}}\)
3 both \(\mathrm{\mathrm{P}}\) and \(\mathrm{\mathrm{Q}}\) are raised to higher temperature
4 both P and Q are placed to lower temperature.
CHXI06:STATES OF MATTER

314322 The relation between rms velocity, average velocity and most probable velocity (MPV) is

1 Average velocity \(\mathrm{>}\) rms velocity \(\mathrm{>}\) MPV
2 rms velocity \(\mathrm{>}\) average velocity \(\mathrm{>}\) MPV
3 rms velocity \(\mathrm{=}\) average velocity \(\mathrm{>}\) MPV
4 MVP > average velocity \(\mathrm{>}\) rms velocity
CHXI06:STATES OF MATTER

314324 Initially, the root mean square (rms) velocity of \(\mathrm{N_{2}}\) molecules at certain temperature is \(\mathrm{u}\). If this temperature is doubled and all the nitrogen molecules dissociate into nitrogen atoms, then the rms velocity will be :

1 \(\mathrm{2 u}\)
2 \(\mathrm{14 \mathrm{u}}\)
3 \(\mathrm{4 u}\)
4 \(\mathrm{\mathrm{u} / 2}\)
CHXI06:STATES OF MATTER

314320 At STP, the order of root mean square velocity of molecules of \(\mathrm{\mathrm{H}_{2}, \mathrm{~N}_{2}, \mathrm{O}_{2}}\) and \(\mathrm{\mathrm{HBr}}\) is

1 \(\mathrm{\mathrm{N}_{2}>\mathrm{HBr}>\mathrm{O}_{2}>\mathrm{H}_{2}}\)
2 \(\mathrm{\mathrm{H}_{2}>\mathrm{N}_{2}>\mathrm{O}_{2}>\mathrm{HBr}}\)
3 \(\mathrm{\mathrm{HBr}>\mathrm{H}_{2}>\mathrm{O}_{2}>\mathrm{N}_{2}}\)
4 \(\mathrm{\mathrm{H}_{2}>\mathrm{O}_{2}>\mathrm{HBr}>\mathrm{N}_{2}}\)
CHXI06:STATES OF MATTER

314321 For two gases \(\mathrm{\mathrm{P}}\) and \(\mathrm{\mathrm{Q}}\) with molecular weights \(\mathrm{M_{P}}\) and \(\mathrm{M_{Q}}\). It is observed that at a certain temperature \(\mathrm{\mathrm{T} \mathrm{K}}\) the average velocity of \(\mathrm{\mathrm{P}}\) is equal to the root mean square velocity of \(\mathrm{\mathrm{Q}}\). Thus, the root mean square velocity of \(\mathrm{\mathrm{P}}\) and \(\mathrm{\mathrm{Q}}\) will be equal if

1 \(\mathrm{\mathrm{P}}\) is lowered to a temperature \(\mathrm{T_{2}}\) and \(\mathrm{T_{2} < T}\) and \(\mathrm{\mathrm{Q}}\) is maintained at temperature \(\mathrm{\mathrm{T}}\)
2 \(\mathrm{\mathrm{P}}\) is at a temperature \(\mathrm{\mathrm{T}}\) and \(\mathrm{\mathrm{Q}}\) at a temperature \(\mathrm{T_{2}}\) where \(\mathrm{T>T_{2}}\)
3 both \(\mathrm{\mathrm{P}}\) and \(\mathrm{\mathrm{Q}}\) are raised to higher temperature
4 both P and Q are placed to lower temperature.
CHXI06:STATES OF MATTER

314322 The relation between rms velocity, average velocity and most probable velocity (MPV) is

1 Average velocity \(\mathrm{>}\) rms velocity \(\mathrm{>}\) MPV
2 rms velocity \(\mathrm{>}\) average velocity \(\mathrm{>}\) MPV
3 rms velocity \(\mathrm{=}\) average velocity \(\mathrm{>}\) MPV
4 MVP > average velocity \(\mathrm{>}\) rms velocity
CHXI06:STATES OF MATTER

314324 Initially, the root mean square (rms) velocity of \(\mathrm{N_{2}}\) molecules at certain temperature is \(\mathrm{u}\). If this temperature is doubled and all the nitrogen molecules dissociate into nitrogen atoms, then the rms velocity will be :

1 \(\mathrm{2 u}\)
2 \(\mathrm{14 \mathrm{u}}\)
3 \(\mathrm{4 u}\)
4 \(\mathrm{\mathrm{u} / 2}\)