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AP EAMCET2001ChemistryStates of Matter

The r.m.s. velocity of CO ₂ at a temperature T (in kelvin) is x ~cm ~s ⁻¹ . At what temperature (in kelvin), the r.m.s. velocity of nitrous oxide would be 4 x ~cm ~s ⁻¹ ? (Atomic weights of C , N and O are respectively 12,14 and 16 )

Options

  1. A16 T
  2. B2 T
  3. C4 T
  4. D32 T

Correct answer

A. 16 T

Step-by-step solution

r CO ₂= 3 R T_ CO ₂ M_ CO ₂ aligned & r ~N ₂ O = 3 R T_ N ₂ O M_ N ₂ O & M_ CO ₂ = 44, M_ N ₂ O =44 & r CO ₂ r ~N ₂ O = T_ CO ₂ T_ N ₂ O & x 4 x = T_ C ₂ T_ N ₂ O aligned Squaring on both the sides, T_ N ₂ O =16 T_ OO ₂

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