At STP, a closed vessel contains I mole each of He and $\mathrm{CH}_4$. Through a small hole, 2 L of He and LL of $\mathrm{CH}_4 \mathrm{WHS}$ escaped from vessel in ' $t$ ' minutes. What are the mole fractions of He and $\mathrm{CH}_4$ respectively remaining in the vessel? ( Assume He and $\mathrm{CH}_4$ as ideal gases. At STP one mole of an ideal gas occupies 22.4 L of volume.)

At $T(\mathrm{~K})$, the $p, V$ and $u_{\mathrm{rms}}$ of 1 mole of an ideal gas were measured. The following graph is obtained. What is it slope ( $m$ )?

( $x$-axis $=p V: y$-axis $u_{\mathrm{rms}}^2, M=$ Molar mass $)$

The RMS velocity ( $u_{\mathrm{rms}}$ ) of one mole of an ideal gas was measured at different temperatures and the following graph is obtained. What is the slope $(m)$ of straight line ?

$$ \begin{aligned} & \left(X \text {-axis }=T(\mathrm{~K}): Y \text {-axis }=\left(u_{\mathrm{rms}}\right)^2: M=\right.\text { molar mass : } \\ & R=\text { gas constant } \end{aligned} $$