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When temperature of an ideal gas is increased from 27⁰C to 227⁰C, its r.m.s. speed changes from 400 m/s to Vs. The Vs is
Options
(a) 516 m/s
(b) 450 m/s
(c) 310 m/s
(d) 746 m/s
Correct Answer:
516 m/s
Explanation:
[ʋ(rms)]² ∝ absolute temperature
[ʋ₂ / ʋ₁]² = T₂ / T₁ ⇒ (ʋ₂ / 400) = √[(273+227) / (273+27)] = √(500 / 300) = √(5 / 3)
.·. ʋ₂ = 400 × √(5 / 3) = 400 × √1.67 = 516 m/s
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Topics: Behavior of Perfect Gas and Kinetic Theory
(34)
Subject: Physics
(2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
- When ₃Li⁷ nuclei are bombarded by protons, and the resultant nuclei are ₄Be⁸,
- The current in a conductor varies with time t as I=2t+3t² Where I is in amperes
- A body cools in 7 minute from 60⁰C to 40⁰C. What time, in minute does it take to cool
- Two springs with spring constants K₁=1500 N/m and K₂=3000 N/m
- If the velocity of sound in air is 350 m/s, thent he fundamental frequency
Topics: Behavior of Perfect Gas and Kinetic Theory (34)
Subject: Physics (2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
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