Question

The temperature at which $C{O}_2$ has the same $RMS$ speed to that of $O_2$ at $STP$ is:

• A. $375.38K$
• B. ${102.38}^{o}C$
• C. $275.38K$
• D. ${202.38}^{o}C$

Answer 1

The correct option is A $375.38K$

$U_{rms}=\sqrt{\frac{3RT}{M}}$

$T\propto M$

here,

for oxygen, $M=32,T=300K$

for $C{O}_2,M=44,T=?$

$\frac{300}{32}=\frac{T}{44}$

$T=375.38K$

Hence, the correct option is $\text{A}$