Question

A 3 : 2 molar mixture of $${N_2}$$  and $$CO$$  is present in a vessel at $$500\,bar$$  pressure. Due to hole in the vessel, the gas mixture leaks out. The composition of mixture effusing out initially is

A. $${n_{{N_2}}}:{n_{CO}}::1:2$$
B. $${n_{{N_2}}}:{n_{CO}}::6:1$$
C. $${n_{CO}}:{n_{{N_2}}}::1:2$$
D. $${n_{CO}}:{n_{{N_2}}}::2:3$$  
Answer :   $${n_{CO}}:{n_{{N_2}}}::2:3$$
Solution :
Molar ratio of $${N_2}$$  and $$CO$$  is 3 : 2, i.e., $$300\,bar$$  and $$200\,bar,$$  respectively
$$\eqalign{ & \frac{{{n_{{N_2}}}}}{{{n_{CO}}}} = \sqrt {\frac{{{m_{CO}}}}{{m{N_2}}}} \times \frac{{{P_{{N_2}}}}}{{{P_{CO}}}} \cr & \,\,\,\,\,\,\,\,\,\,\,\, = \frac{{300}}{{200}} \cr & \,\,\,\,\,\,\,\,\,\,\,\, = \frac{3}{2} \cr} $$

Releted MCQ Question on
Physical Chemistry >> States of Matter Solid, Liquid and Gas

Releted Question 1

Equal weights of methane and oxygen are mixed in an empty container at $${25^ \circ }C.$$  The fraction of the total pressure exerted by oxygen is

A. $$\frac{1}{3}$$
B. $$\frac{1}{2}$$
C. $$\frac{2}{3}$$
D. $$\frac{1}{3} \times \frac{{273}}{{298}}$$
Releted Question 2

The temperature at which a real gas obeys the ideal gas laws over a wide range of pressure is

A. Critical temperature
B. Boyle temperature
C. Inversion temperature
D. Reduced temperature
Releted Question 3

The ratio of root mean square velocity to average velocity of a gas molecule at a particular temperature is

A. 1.086 : 1
B. 1 : 1.086
C. 2 : 1.086
D. 1.086 : 2
Releted Question 4

Helium atom is two times heavier than a hydrogen molecule. At $$298 K,$$  the average kinetic energy of a helium atom is

A. two times that of a hydrogen molecule.
B. same as that of a hydrogen molecule.
C. four times that of a hydrogen molecule.
D. half that of a hydrogen molecule.

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States of Matter Solid, Liquid and Gas


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