Q. At what temperature will most probable speed of the molecules of the second number of alkyne series be the same as that of $SO_{2}$ at $527℃$?
A) $347℃$
B) $227℃$
C) $800℃$
D) $254℃$
Explanation
(b)
Second member of alkyne series is $C_{3}H_{4}.(m - 40)$
$\mathbf{C}_{\mathbf{3}}\mathbf{H}_{\mathbf{4}}\mathbf{\ \ \ \ \ \ \ \ \ \ S}\mathbf{O}_{\mathbf{2}}$
$\sqrt{\frac{2RT_{1}}{M_{1}}} = \sqrt{\frac{2RT_{2}}{M_{2}}}$
$T_{1} = T_{2}\left( \frac{M_{1}}{M_{2}} \right) = 800\ \left( \frac{40}{64} \right)K$
$= 500\ K = 227℃$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.