2 The velocity of sound in diatomic gas is 300m/s , the root mean square velocity of molecules is - Physics - Waves

Question

2 The velocity of sound in diatomic gas is 300m/s , the root mean
square velocity of molecules is of order of a)440m/s
b)40m/s
c)4000m/s
d)4m/s

Salman · Answer

$v=sqrt{gamma P/ho }$ velocity of sound in a gas $PM=ho RT$ $P/ho =RT/M$ $Rightarrow v=sqrt{gamma RT/M}$ $Rightarrow RT/M=v^{2}/gamma$ $V_{rms}=sqrt{3RT/M}$ $Rightarrow V_{rms}=sqrt{3v^{2}/gamma }$ Vrms=439 155 m/s

2. The velocity of sound in diatomic gas is 300m/s , the root mean square velocity of molecules is of order of a)440m/s b)40m/s c)4000m/s d)4m/s

2. The velocity of sound in diatomic gas is 300m/s , the root mean square velocity of molecules is of order of a)440m/s
b)40m/s
c)4000m/s
d)4m/s