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 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. A bimetallic strip consists of metals X and Y. It is mounted rigidly at the base as shown
2. When a bullet of mass 10 g and speed 100 ms⁻¹ penetrates up to distance 1 cm
3. A radioactive substance emits n beta particles in the first 2 s and 0.5 n beta
4. A photon of energy 10.2 eV collide inelastically with hydrogen atom in ground state
5. The order of radius of the nucleus of an atom is

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.

---

Share this page with your friends