First slide

Gaseous state

Question

Select the correct statement (s).

Moderate

A

Kinetic energy is zero at O^oC
B

$rms velocity of O_{2} at 27^{\circ} C is = \sqrt{\frac{3 \times 8 .314 \times 300}{32}} {ms}^{- 1}$
C

$Distribution of molecules is very small when u \to 0 or u \to \infty$
D

$All the above statements are correct$

Solution

$(a) KE = \frac{3}{2} nRT = \frac{3}{2} nR (0 + 273) = \frac{3}{2} nR \times 273$
Thus, (a) is incorrect.
$(b) rms (O_{2}) = \sqrt{\frac{3 RT}{M}} = \sqrt{\frac{3 \times 8 .3143 \times 300}{32 \times 10^{- 3}}}$
$Thus, (b) is incorrect (molar mass of O_{2} in SI unit is 32 \times 10^{- 3} kg {mol}^{- 1})$
$(c) is correct$

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