Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
Concepts Of Physics MCQ Edition [Volume 2]
Exam
Concepts Of Physics MCQ Edition [Volume 2]
Subject
Physics
Chapter
Laws of Thermodynamics

Concepts Of Physics MCQ Edition [Volume 2] · Physics · Laws of Thermodynamics

Initially, a gas is at a pressure of 100 kPa with a volume of 2.0...

Initially, a gas is at a pressure of 100 kPa100 \text{ kPa} with a volume of 2.0 m32.0 \text{ m}^3. While keeping the pressure constant, the volume is changed from 2.0 m32.0 \text{ m}^3 to 2.5 m32.5 \text{ m}^3. Subsequently, the volume is held constant and the pressure is increased from 100 kPa100 \text{ kPa} to 200 kPa200 \text{ kPa}. Finally, the gas is returned to its initial state such that the pressure varies linearly with its volume. Determine whether heat is supplied to or extracted from the gas during the complete cycle.

Options

  1. ANet heat exchange is zero
  2. BThe process is adiabatic
  3. CHeat is extracted
  4. DHeat is supplied

Correct answer

C. Heat is extracted

Step-by-step solution

The cyclic process consists of three steps:

Isobaric expansion from state A (2.0 m3,100 kPa)(2.0 \text{ m}^3, 100 \text{ kPa}) to state B (2.5 m3,100 kPa)(2.5 \text{ m}^3, 100 \text{ kPa}).

Isochoric process from state B to state C (2.5 m3,200 kPa)(2.5 \text{ m}^3, 200 \text{ kPa}).

Linear return from state C to state A.

Plotting these states on a P−VP-V diagram forms a right-angled triangle. The sequence A→B→C→AA \rightarrow B \rightarrow C \rightarrow A traces a counter-clockwise cycle.

The net work done in a counter-clockwise cycle on a P−VP-V diagram is negative (W<0W < 0).

From the first law of thermodynamics for a complete cycle, ΔU=0\Delta U = 0, giving Q=WQ = W.

Since W<0W < 0, Q<0Q < 0, indicating that net heat is extracted from the gas.
Practice Laws of Thermodynamics on Quantrex Academy →

More from Laws of Thermodynamics

A paddle wheel is coupled to a mass of 12 kg via fixed frictionless pulleys. The paddle… Concepts Of Physics MCQ Edition [Volume 2]A 100 kg block is started with a speed of 2.0 m s^ -1 on a long, rough belt maintained in… Concepts Of Physics MCQ Edition [Volume 2]Water at 15^ ^ ^ ∘ C is contained inside a closed, thermally insulated copper vessel. The… Concepts Of Physics MCQ Edition [Volume 2]Water at 15^ ^ ^ ∘ C is contained inside a closed, thermally insulated copper vessel. The… Concepts Of Physics MCQ Edition [Volume 2]A 100 kg block is started with a speed of 2.0 m s^ -1 on a long, rough belt fixed in a… Concepts Of Physics MCQ Edition [Volume 2]A gas undergoes a process where its pressure varies linearly with volume from 10 kPa… Concepts Of Physics MCQ Edition [Volume 2]Determine the change in the internal energy of a gas confined in a rigid container when… Concepts Of Physics MCQ Edition [Volume 2]An ideal gas is taken from an initial state i to a final state f such that the ratio of… Concepts Of Physics MCQ Edition [Volume 2] Full Laws of Thermodynamics list All Concepts Of Physics MCQ Edition [Volume 2] PYQs