The rms speed of a gas X at 927 degC is equal to the rms speed of CH4 (molar mass 16) at 27 degC. The molar mass of X in g mol^-1 (nearest integer) is

JEE Advanced levelNumerical answerDifficulty 3 of 3ig207

The rms speed of a gas X at $92 7^{\circ} C$ is equal to the rms speed of $CH X_{4}$ (molar mass 16) at $2 7^{\circ} C$ . The molar mass of X in $g mo l^{- 1}$ (nearest integer) is

Numerical answer type, answer in g/mol, tolerance 0.5.

Equal rms speeds require equal

T / M

\frac{1200}{M _{X}} = \frac{300}{16}

, so

M_{X} = 16 \times 4 = 64 g mo l^{- 1}

(e.g.

SO X_{2}