Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main 201610 AprilOnline
Exam
JEE Main
Year
2016
Date
10 April
Mode
Online
Subject
Chemistry
Chapter
States of Matter

JEE Main 2016 · 10 April · Online · Chemistry · States of Matter

Initially, the root-mean-square (RMS) velocity of N _ 2 molecules...

Initially, the root-mean-square (RMS) velocity of N2{N}_{2} molecules at certain temperature is uu. If this temperature is doubled and all the nitrogen molecules dissociate into nitrogen atoms, then the new RMS velocity will be:

Options

  1. A2u2u
  2. B14u14u
  3. C4u4u
  4. Du/2u / 2

Correct answer

A. 2u2u

Step-by-step solution

u=3RT28u = \sqrt{\dfrac{3RT}{28}}

u′=3R×2T14{u}^{′} = \sqrt{\dfrac{3R \times 2T}{14}}

uu′=14\dfrac{u}{{u}^{′}} = \sqrt{\dfrac{1}{4}}

uu′=12\dfrac{u}{{u}^{′}} = \dfrac{1}{2}

u′=2u{u}^{′} = 2u
Practice States of Matter on Quantrex Academy →

More from States of Matter

Two cylinders, both fitted with frictionless pistons, are filled with mixtures of He and… JEE Advanced 2026Molar volume (V_m) of a van der Waals gas can be calculated by expressing the van der… JEE Advanced 2025At the sea level, the dry air mass percentage composition is given as nitrogen gas… JEE Main 2025For a reaction, N_2 O_ 5(~g) arrow 2 NO_ 2(~g) +(1)/(2) O_ 2(~g) in a constant volume… JEE Main 2025A closed vessel contains 10 ~g of an ideal gas X at 300 ~K , which exerts 2 atm pressure.… JEE Advanced 2024A gas has a compressibility factor of 0 . 5 and a molar volume of 0 . 4 dm ^ 3 mol ^ - 1… JEE Advanced 2023A certain quantity of real gas occupies a volume of 0 . 15 dm ^ 3 at 100atm and 500K when… JEE Main 2023At 600K , the root mean square ( rms ) speed of gas X (molar mass = 40 ) is equal to the… JEE Main 2023 Full States of Matter list All JEE Main PYQs