SATHEE: Heat and Thermodynamics 4 Question 38

Heat and Thermodynamics 4 Question 38

40. The root mean square (rms) speed of oxygen molecules $(O_{2})$ at a certain temperature $T$ (degree absolute) is $V$ . If the temperature is doubled and oxygen gas dissociates into atomic oxygen, the rms speed remains unchanged.

(1987, 2M)

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Solution:

$v_{r m s} = \sqrt{\frac{3 R T}{M}}$ or $v_{r m s} \propto \sqrt{\frac{T}{M}}$

When oxygen gas dissociates into atomic oxygen its atomic mass $M$ will remain half. Temperature is doubled. So, from Eq. (i) $v_{rms}$ will become two times.

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Heat and Thermodynamics 4 Question 38

40. The root mean square (rms) speed of oxygen molecules (O2) at a certain temperature T (degree absolute) is V. If the temperature is doubled and oxygen gas dissociates into atomic oxygen, the rms speed remains unchanged.

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40. The root mean square (rms) speed of oxygen molecules $(O_{2})$ at a certain temperature $T$ (degree absolute) is $V$ . If the temperature is doubled and oxygen gas dissociates into atomic oxygen, the rms speed remains unchanged.