The correct option is C 400√2 m/s
According to ideal gas equation
PV=nRT
⇒PVT= constant
Let,
P1,V1 and T1 as initial pressure, volume and temperature of gas respectively.
P2,V2 and T2 as final pressure, volume and temperatue of gas respectively.
∴P1V1T1=P2V2T2......(1)
We know that,
Pressure P=13MVv2rms
PV=13Mv2rms.......(2)
Where M= Molar mass, V= Volume
Also,
P1V1=M3v2rms(1)
P2V2=M3v2rms(2)
From eqn 1.
⇒v2rms(1)T1=v2rms(2)T2
⇒v2rms(2)=T2T1×v2rms(1)
vrms(2)=√2T1T1×vrms(1)
[∵T2=2 T1]
vrms(2)=vrms(1)√2 m/s=400√2 m/s