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The root mean square speed of N 2 molecules in sample at temperature T is 'x'. If the temperature is doubled, then nitrogen molecules dissociate into atoms, the root mean square speed of nitrogen atoms becomes n times of 'x' find the value of n here?

Correct answer

2

Step-by-step solution

v r m s = 3 R T m x = 3 R T 28 …(i) v r m s = 3 R × 2 T 14 …(ii) Dividing equation (i) by equation (ii) x v r m s = 1 4 So, v r m s = 2 x So, n = 2.

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