NEET 2027PDF Note

Thermodynamics Master Cheat Sheet - NEET 2027

1. NEET Exam Weightage & PYQ Analysis

Thermodynamics is a high-yield topic for NEET 2027 Physics and Chemistry papers. On average, NTA includes 2 to 3 direct questions from this unit annually, contributing 8 to 12 marks. The NTA pattern focuses heavily on polytropic process calculations, First Law energy conservation, thermodynamic relations \(C_p - C_v = R\), and Carnot engine efficiency.

2. Fundamental Definitions & Systems

System Types

  • Closed System: Mass remains constant within the boundary, but energy transfer (heat and work) is allowed.
  • Open System: Both mass and energy cross system boundaries (e.g., control volume systems).
  • Isolated System: Neither mass nor energy can cross the system boundaries.

State Postulate

The state of a simple compressible system is completely specified by two independent, intensive properties.

3. The Four Laws of Thermodynamics

Zeroth Law of Thermodynamics

If two bodies are in thermal equilibrium with a third body, they are also in thermal equilibrium with each other. If \(T_A = T_C\) and \(T_B = T_C\), then \(T_A = T_B\).

First Law of Thermodynamics (Law of Conservation of Energy)

For a non-flow closed system, the change in internal energy is:

\[\Delta U = Q - W\]

For a complete thermodynamic cycle, the net heat transfer equals the net work done:

\[\oint dQ = \oint dW\]

For an open system (control volume), the steady-flow energy equation is:

\[\dot{Q} - \dot{W} = \sum_{out} \dot{m}\bigl(h + \frac{V^2}{2} + gz\bigr) - \sum_{in} \dot{m}\bigl(h + \frac{V^2}{2} + gz\bigr)\]

Second Law of Thermodynamics

  • Kelvin-Planck Statement: It is impossible for any device operating in a cycle to receive heat from a single reservoir and produce an equivalent amount of work.
  • Clausius Statement: It is impossible to construct a device operating in a cycle that transfers heat from a lower-temperature body to a higher-temperature body without external work.

Entropy formulation of Second Law:

\[dS = \frac{dQ_{rev}}{T} + \sigma\]

where \(\sigma \ge 0\) represents entropy generation.

Third Law of Thermodynamics

As absolute temperature approaches absolute zero (\(T \to 0\) K), the entropy of a pure crystalline substance approaches zero (\(S \to 0\)).

4. Thermodynamic Properties & TdS Equations

Enthalpy Formula

Enthalpy (\(H\)) is defined as:

\[H = U + PV\]

TdS (Entropy) Relations

\[TdS = dU + PdV\] \[TdS = dH - VdP\]

Specific Heats

\[C_v = \bigl(\frac{\partial U}{\partial T}\bigr)_V, \quad C_p = \bigl(\frac{\partial H}{\partial T}\bigr)_P\]

For ideal gases, Mayer's relation holds true: \(C_p - C_v = R\), and the adiabatic index is \(\gamma = \frac{C_p}{C_v}\).

5. Ideal Gas Equations & Polytropic Processes

The equation of state for ideal gases is defined as:

\[PV = mRT \quad \text{or} \quad P\bar{v} = \bar{R}T\]

Internal energy and enthalpy changes depend solely on temperature for ideal gases:

\[\Delta U = \int C_v dT, \quad \Delta H = \int C_p dT\]

Polytropic Processes (\(PV^n = C\))

  • \(n=0\): Isobaric Process (\(P = \text{constant}\))
  • \(n=1\): Isothermal Process (\(T = \text{constant}\))
  • \(n=\gamma\): Adiabatic Process (\(Q = 0\))
  • \(n=\infty\): Isochoric Process (\(V = \text{constant}\))

Work done in a polytropic process (\(n eq 1\)):

\[W = \frac{P_2V_2 - P_1V_1}{1 - n}\]

6. Heat Engines, Refrigerators & Cycles

Thermal Efficiency of Heat Engines

\[\eta_{th} = \frac{W_{net}}{Q_{in}} = 1 - \frac{Q_{out}}{Q_{in}}\]

Coefficient of Performance (COP)

For Refrigerators:

\[\text{COP}_R = \frac{Q_L}{W_{net}} = \frac{Q_L}{Q_H - Q_L}\]

For Heat Pumps:

\[\text{COP}_{HP} = \frac{Q_H}{W_{net}} = \frac{Q_H}{Q_H - Q_L} = \text{COP}_R + 1\]

Carnot Efficiency

Maximum theoretical efficiency between two thermal reservoirs at temperatures \(T_H\) and \(T_L\):

\[\eta_{Carnot} = 1 - \frac{T_L}{T_H}\]

7. People Also Ask (Frequently Asked Questions)

What is Mayer's relation in thermodynamics for NEET 2027?

Mayer's relation states that \(C_p - C_v = R\) for an ideal gas, where \(C_p\) is specific heat at constant pressure, \(C_v\) is specific heat at constant volume, and \(R\) is the universal gas constant.

What is the formula for work done in a polytropic process?

Work done in a polytropic process where \(n eq 1\) is given by \(W = \frac{P_2V_2 - P_1V_1}{1 - n}\) or \(W = \frac{mR(T_1 - T_2)}{n - 1}\).

How are COP of Heat Pump and COP of Refrigerator related?

The relationship between Coefficient of Performance (COP) of a Heat Pump and Refrigerator operating between the same temperature limits is \(\text{COP}_{HP} = \text{COP}_R + 1\).

Want to Practice 1 Lakh+ PYQs for NEET 2027?

Get access to premium notes, chapter-wise mock tests, and full previous year question papers.

Join Telegram Channel for Free Study Material

Download the Full PDF

Join our official Telegram community to instantly download this file.

Join Telegram
Practice Free Mock Tests
Premium PDF Preview