At what temperature will the rms speed of air molecules be double that of NTP?

At What Temperature Will The Rms Speed Of Air Molecules Physics Question

At what temperature will the rms speed of air molecules be double that of NTP?

Options

(a) 519⁰C
(b) 619⁰C
(c) 719⁰C
(d) 819⁰C

Correct Answer:

819⁰C

Explanation:

v(rms) = √(3RT / M)
At T = T₀, v(rms) = √(3RT / M)
But at temperature T, v(rms) = 2 × √(3RT₀ / M)
⇒ √(3RT / M) = 2 √(3RT₀ / M) ⇒ √T = √(4T₀) ⇒ T = 4T₀
T = 4 × 273 K = 1092 K
Therefore, T = 819°C

Related Questions:

  1. The angle between the vectors (i+j) and (j+k) is
  2. During an adiabatic process, the cube of the pressure is found to be inversely
  3. Charge passing through a conductor of cross-section area A=0.3 m² is given
  4. A high altitude, a body explodes at rest into two equal fragments with one fragment
  5. A pure semiconductor behaves slightly as a conductor at

Topics: Behavior of Perfect Gas and Kinetic Theory (34)
Subject: Physics (2479)

Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score

18000+ students are using NEETLab to improve their score. What about you?

Solve Previous Year MCQs, Mock Tests, Topicwise Practice Tests, Identify Weak Topics, Formula Flash cards and much more is available in NEETLab Android App to improve your NEET score.

NEETLab Mobile App

Share this page with your friends

Be the first to comment

Leave a Reply

Your email address will not be published.


*