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JEE Main 201325 AprilOnline
Exam
JEE Main
Year
2013
Date
25 April
Mode
Online
Subject
Physics
Chapter
Kinetic Theory of Gases

JEE Main 2013 · 25 April · Online · Physics · Kinetic Theory of Gases

In the isothermal expansion of 10 ~g of gas from volume V to 2 ~V...

In the isothermal expansion of 10 g10 \mathrm{~g} of gas from volume V\mathrm{V} to 2 V2 \mathrm{~V} the work done by the gas is 575 J575 \mathrm{~J}. What is the root mean square speed of the molecules of the gas at that temperature?

Options

  1. A398 m/s398 \mathrm{~m} / \mathrm{s}
  2. B520 m/s520 \mathrm{~m} / \mathrm{s}
  3. C499 m/s499 \mathrm{~m} / \mathrm{s}
  4. D532 m/s532 \mathrm{~m} / \mathrm{s}

Correct answer

C. 499 m/s499 \mathrm{~m} / \mathrm{s}

Step-by-step solution

vrms=3ρv mass of the gas \mathrm{v}_{\mathrm{rms}}=\sqrt{\frac{3 \rho \mathrm{v}}{\text{ mass of the gas }}}
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