The $RMS$ velocity $(u_{rms})$ of one mole of an ideal gas was measured at different temperatures and the following graph is obtained. What is the slope $(m)$ of the straight line?
($x$-axis $= T$ $(K)$; $y$-axis $= (u_{rms})^2$; $M =$ molar mass; $R =$ gas constant)
($x$-axis $= T$ $(K)$; $y$-axis $= (u_{rms})^2$; $M =$ molar mass; $R =$ gas constant)
- A$(\frac{3 R}{M})^{1 / 2}$
- B$(\frac{M}{3 R})^{1 / 2}$
- C$\frac{M}{3 R}$
- D$\frac{3 R}{M}$
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