By what factor does the root mean square speed of the gaseous molecules increases when the temperature is tripled?

Option 1 - 1.41

Option 2 - 1.73

Option 3 - 2.4

Option 4 - 0.91

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4 months ago

Correct Option - 2

Detailed Solution:

$u_{r m s_{1}} = \sqrt[]{\frac{3 R T}{M}}$

When the temperature is tripled,

$u_{r m s_{2}} = \sqrt[]{\frac{3 R (3 T)}{M}} = \sqrt[]{3} * u_{r m s_{1}} = 1.73 * u_{r m s_{1}}$

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