A) 516 m/s
B) 450 m/s
C) 310 m/s
D) 746 m/s
Correct Answer: A
Solution :
We know that rms speed is directly proportional to square root of temperature. \[{{v}_{rms}}\propto \sqrt{T}\] Hence, \[\frac{{{v}_{rms(1)}}}{{{v}_{rms(2)}}}=\sqrt{\frac{{{T}_{1}}}{{{T}_{2}}}}\] \[\frac{400}{{{v}_{rms(2)}}}=\frac{\sqrt{27+273}}{\sqrt{227+273}}=\sqrt{\frac{300}{500}}\] \[{{v}_{rms(2)}}=v=\sqrt{\frac{500}{300}}\times 400\] \[=1.29\times 400=516.39\,m/s\] \[\approx 516m/s\]
You need to login to perform this action.
You will be redirected in
3 sec
