Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main 20241 FebruaryMorning Shift
Exam
JEE Main
Year
2024
Date
1 February
Shift
Morning Shift
Subject
Physics
Chapter
Kinetic Theory of Gases

JEE Main 2024 · 1 February · Morning Shift · Physics · Kinetic Theory of Gases

Two moles of a monoatomic gas is mixed with six moles of a diatomic...

Two moles of a monoatomic gas is mixed with six moles of a diatomic gas. The molar specific heat of the mixture at constant volume is :

Options

  1. A94R\dfrac{9}{4}R
  2. B74R\dfrac{7}{4}R
  3. C32R\dfrac{3}{2}R
  4. D52R\dfrac{5}{2}R

Correct answer

A. 94R\dfrac{9}{4}R

Step-by-step solution

For mixture of gases, we can write

 Cv=n1Cv1+n2Cv2n1+n2{C}_{v} = \dfrac{{n}_{1}{C}_{{v}_{1}} + {n}_{2}{C}_{{v}_{2}}}{{n}_{1} + {n}_{2}}

=2×32R+6×52R2+6= \dfrac{2 \times \dfrac{3}{2}R + 6 \times \dfrac{5}{2}R}{2 + 6}

=94R= \dfrac{9}{4}R

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