The ratio of rms velocity of oxygen molecules at 327° C to the rms velocity of hydrogen molecules at 27° C . Given that molecular weights of hydrogen and oxygen are 2 and 32 respectively, is:

Question

The ratio of rms velocity of oxygen molecules at 327° C to the rms velocity of hydrogen molecules at 27° C . Given that molecular weights of hydrogen and oxygen are 2 and 32 respectively, is: (A)  1 :√8  (B)  √8:1  (C) 8: 1 (D) 1: 8

Tardigrade Admin · Accepted Answer

Using the relation (c1/c2)=( textrms textvelocity textof textO text2/ textrms textvelocity textof textH text2) =√(M2/M1)× (T1/T2)=√(2× 600/32× 300)=1:√8

Q. The ratio of rms velocity of oxygen molecules at $327^{\circ} C$ to the rms velocity of hydrogen molecules at $27^{\circ} C$ . Given that molecular weights of hydrogen and oxygen are 2 and 32 respectively, is:

$1 : 8$

$8 : 1$

8 : 1

1 : 8

Using the relation $\frac{c _{1}}{c _{2}} = \frac{rms velocity of O _{2}}{rms velocity of H _{2}}$ $= \frac{M _{2}}{M _{1}} \times \frac{T _{1}}{T _{2}} = \frac{2 \times 600}{32 \times 300} = 1 : 8$

Q. The ratio of rms velocity of oxygen molecules at 327∘C to the rms velocity of hydrogen molecules at 27∘C . Given that molecular weights of hydrogen and oxygen are 2 and 32 respectively, is:

1:8​

8​:1