Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main 20246 AprilEvening Shift
Exam
JEE Main
Year
2024
Date
6 April
Shift
Evening Shift
Subject
Physics
Chapter
Kinetic Theory of Gases

JEE Main 2024 · 6 April · Evening Shift · Physics · Kinetic Theory of Gases

Energy of 10 non rigid diatomic molecules at temperature T is :

Energy of 10 non rigid diatomic molecules at temperature TT is :

Options

  1. A70 KBT70 \mathrm{~K}_{\mathrm{B}} \mathrm{T}
  2. B35 KBT35 \mathrm{~K}_{\mathrm{B}} \mathrm{T}
  3. C72RT\frac{7}{2} \mathrm{RT}
  4. D35RT35 \mathrm{RT}

Correct answer

B. 35 KBT35 \mathrm{~K}_{\mathrm{B}} \mathrm{T}

Step-by-step solution

 Degree of  freedom (f)=5+2(3N−5)f=5+2(3×2−1)=7 energy of one molecule =f2KBT\begin{aligned} & \text{ Degree\text{ of } freedom }(f)=5+2(3 \mathrm{ N}-5) \\ & \qquad f=5+2(3 \times 2-1)=7 \\ & \text{ energy of one molecule }=\frac{f}{2} K_B T \end{aligned} energy of 10 molecules =10(f2KBT)=10(72KBT)=35KBT=10\left(\frac{\mathrm{f}}{2} \mathrm{ K}_{\mathrm{B}} \mathrm{T}\right)=10\left(\frac{7}{2} \mathrm{ K}_{\mathrm{B}} \mathrm{T}\right)=35 \mathrm{ K}_{\mathrm{B}} \mathrm{T}
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