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Physics · Kinetic Theory of Gases

JEE Main 2026 — 4 April, Morning Shift — Question 9

One gas of n₁ moles at T₁, V₁, P₁ and another gas of n₂ moles at T₂, V₂, P₂ are mixed resulting in pressure P and volume V of the mixture. The temperature of the mixture is

  1. Option A:

    (T1+T2)/2(T_1+T_2)/2

  2. Option B:

    T1T2PVT2P1V1+T1P2V2\frac{T_1T_2PV}{T_2P_1V_1+T_1P_2V_2}

    Correct
  3. Option C:

    (T2P1V1+T1P2V2)(T1T2PV)(T_2P_1V_1+T_1P_2V_2)(T_1T_2PV)

  4. Option D:

    ∣T1−T2∣/2|T_1-T_2|/2

Answer: B

Step-by-step solution

n = n₁+n₂ ⇒ PV/RT_f = P₁V₁/(RT₁) + P₂V₂/(RT₂) ⇒ T_f = PV / (P₁V₁/T₁ + P₂V₂/T₂)

Answer key and solution verified before publishing.

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Exam
JEE Main 2026
Paper
4 April, Morning Shift
Subject
Physics
Chapter
Kinetic Theory of Gases
Topic
Energy of Gas and Gas Laws and Miscellaneous Problems
One gas of n₁ moles at T₁, V₁, P₁ and another gas of n₂ moles at T₂… | JEE Main 2026 PYQ with Solution · DhiX AI