Question

The flask (A) and (B) have equal volumes. Flask (A) contains $H_2$ gas at 300 K, while (B) contains an equal mass of $C{H}_4$ at 900 K. Calculate the ratio of average speed of molecules in flask (A) and (B).

Answer 1

$V_{avg}=\sqrt{\frac{8}{\pi }\frac{RT}{M}}$

$V_{avg}.H_2=\sqrt{\frac{8}{\pi }.\frac{R.300}{2}}$

$V_{avg}.C{H}_4=\sqrt{\frac{8}{\pi }.\frac{R.900}{16}}$

$\therefore ratio=\sqrt{\frac{300.16}{2.900}}=\sqrt{\frac{8}{3}}$