Question

At what temperature will the root mean square velocity of SO₂ be same as that of methane at 27°C?

Answer 1

C_rms = \(\sqrt{\frac{3RT}{M}}\)

For CH₄, M = 16, T = 300 K

C_rms = \(\sqrt{\frac{3R\times300}{16}}\)

For SO₂, M = 64, T = ?

C_rms = \(\sqrt{\frac{3R\times T}{64}}\)

\(\sqrt{\frac{300}{16}}=\sqrt{\frac{T}{64}}\)

T = \(\frac{300\times64}{16}\)

= 1200

t = 1200 - 273

= 927ºC.