Question

The ratio of root mean square velocity to average velocity of gas molecules at a particular temperature is

• A. 1.086 : 1
• B. 1 : 1.086
• C. 2 : 1.086
• D. 1.086 : 2

Answer 1

Answer: (A)

1.086 : 1

Answer 2

$V _ { r m s } = \sqrt { \frac { 3 R T } { M } } , V _ { a v } = \sqrt { \frac { 8 R T } { \pi M } }$ ; $\frac { V _ { r m s } } { V _ { a v } } = \sqrt { \frac { 3 \pi } { 8 } }$

$= \sqrt { \frac { 66 } { 56 } } \Rightarrow \frac { 1.086 } { 1 }$