An insulated container of gas has two champers seperated by an insulating partition.

⇦

⇨

An insulated container of gas has two champers seperated by an insulating partition. One of the chambers has volume V₁ and contains ideal gas at pressure P₁ and temperature T₁. The other chamber has volume V₂ and contains ideal gas at pressure P₂ and temperature T₂. If the partition is removed without doing any work on the gas, the final equilibrium temperature of the gas in the container will be

Options

(a) [T₁T₂(P₁V₁+P₂V₂)] / (P₁V₁T₁+P₂V₂T₂)
(b) [T₁T₂(P₁V₁+P₂V₂)] / (P₁V₁T₂+P₂V₂T₁)
(c) (P₁V₁T₁+P₂V₂T₂) / (P₁V₁+P₂V₂)
(d) (P₁V₁T₂+P₂V₂T₁) / (P₁V₁+P₂V₂)

Correct Answer:

[T₁T₂(P₁V₁+P₂V₂)] / (P₁V₁T₂+P₂V₂T₁)

Explanation:

As this is a simple maxing of gas, even if adiabatic conditions are satisfied, PV = nRT for adiabatic as well as isothermal changes. The total number of molecules is conserved.
.·. n₁ = P₁V₁ / R₁T₁, n₂ = P₂V₂ / RT₂
Final state = (n₁ + n₂) RT
(n₁ + n₂) = (P₁V₁ / R₁T₁) + (P₂V₂ / RT₂) = [(T₂P₁V₁+T₁P₂V₂) / RT₁T₂]
T = [(T₁n₁ + T₂n₂) / (n₁ + n₂) = [T₁T₂(P₁V₁+P₂V₂)] / (P₁V₁T₂+P₂V₂T₁)

Related Questions:

1. Two parallel beams of positron moving in the same direction will
2. For photoelectric emission to take place
3. You are marooned on a frictionless horizontal plane and cannot exert any horizontal
4. The magnetic flux linked with a coil at any instant t is given by ?, find emf
5. The rest energy of an electron is

Topics: Behavior of Perfect Gas and Kinetic Theory (34)
Subject: Physics (2479)

---

Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score

18000+ students are using NEETLab to improve their score. What about you?

Solve Previous Year MCQs, Mock Tests, Topicwise Practice Tests, Identify Weak Topics, Formula Flash cards and much more is available in NEETLab Android App to improve your NEET score.

---

Share this page with your friends