Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main 20205 SeptemberMorning Shift
Exam
JEE Main
Year
2020
Date
5 September
Shift
Morning Shift
Subject
Physics
Chapter
Kinetic Theory of Gases

JEE Main 2020 · 5 September · Morning Shift · Physics · Kinetic Theory of Gases

Number of molecules in a volume of 4 cm ^ 3 of a perfect monoatomic...

Number of molecules in a volume of 4cm34{cm}^{3} of a perfect monoatomic gas at some temperature T and at a pressure of 2cm2cm of mercury is close to? (Given, mean kinetic energy of a molecule (at T) is 4×10−14erg,g=980cms−24 \times {10}^{- 14}erg, g = 980cm{s}^{- 2} density of mercury =13.6gcm−3= 13 . 6g{cm}^{- 3})

Options

  1. A4.8×10184 .8 \times {10}^{18}
  2. B4.0×10164 . 0 \times {10}^{16}
  3. C5.8×10165 . 8 \times {10}^{16}
  4. D5.8×10185 . 8 \times {10}^{18}

Correct answer

A. 4.8×10184 .8 \times {10}^{18}

Step-by-step solution

N=PVKTN = \dfrac{PV}{KT}

U=32KTU = \dfrac{3}{2}KT

∴N=3PV2U=3.99×1018∴ N = \dfrac{3PV}{2U} = 3 . 99 \times {10}^{18}

Practice Kinetic Theory of Gases on Quantrex Academy →

More from Kinetic Theory of Gases

If 2 mole of an ideal monoatomic gas at temperature T , is mixed with 6 mole of another… JEE Main 2026Given below are two statements: one is labelled as Assertion A and the other is labelled… JEE Main 2026Given below are two statements: one is labelled as Assertion A and the other is labelled… JEE Main 2026One gas of n_1 mole of molecules at temperature T_1 , volume V_1 , and pressure P_1 , and… JEE Main 2026A mixture of carbon dioxide and oxygen has volume 8310 cm ^3 , temperature 300 K… JEE Main 2026The mean free path of a molecule of diameter 5 × 10^ -10 ~m at the temperature 41^ ∘ C… JEE Main 2026A gas of certain mass filled in a closed cylinder at a pressure of 3.23 kPa has… JEE Main 2026Consider two boxes containing ideal gases A and B such that their temperatures, pressures… JEE Main 2026 Full Kinetic Theory of Gases list All JEE Main PYQs