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The root mean square velocity of an ideal gas at constant pressure varies with density (d) as a. d2 b. d c. √d d. 1/ √d

The root mean square velocity of an ideal gas at constant pressure varies with density (d) as
a. d2
b. d
c. √d
d. 1/ √d

Grade:10

1 Answers

Deepak Patra
askIITians Faculty 471 Points
9 years ago
Sol. Root mean square velocity (urms) = √(3RT/M) Also, p∙M = dRT Substituting for RT|M in urms expression gives; Urms = √((3 p)/d) ⇒ urms ∝ 1/√d

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