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CBSE • कक्षा XI • Physics • अध्याय 11
अनुमानित समय: 45 Mins
प्रगति: अध्ययनरत

ऊष्मागतिकी (Thermodynamics)

In Class 11 Physics, "Thermodynamics" provides an authoritative, curriculum-verified master resource aligned with the 2026–27 NCERT syllabus.

🔥 Have You Ever Wondered?

Why can a car engine never convert 100% of its gasoline combustion heat into mechanical motion, and why does heat naturally flow from a hot cup of coffee to cool air but never spontaneously flows backward to boil the coffee? The Laws of Thermodynamics dictate the arrow of time.

यह अध्याय क्यों महत्वपूर्ण है

In Class 11 Physics, "Thermodynamics" provides an authoritative, curriculum-verified master resource aligned with the 2026–27 NCERT syllabus.

अध्ययन से पूर्व (आवश्यक ज्ञान)

  • Heat and work from Chapter 5.
  • Conservation of energy.
  • Gas behavior.

इस अध्याय के लक्ष्य

  • State the Zeroth Law of Thermodynamics and define Temperature.
  • State the First Law of Thermodynamics: $\Delta Q = \Delta U + \Delta W$ (Conservation of Energy).
  • Analyze Thermodynamic Processes: Isothermal ($\Delta T = 0, W = nRT\ln\frac{V_2}{V_1}$), Adiabatic ($PV^\gamma = \text{const}, Q = 0$), Isobaric ($W = P\Delta V$), and Isochoric ($W = 0$).
  • State the Second Law of Thermodynamics (Kelvin-Planck and Clausius statements).
  • Define Reversible and Irreversible processes.

अध्याय रूपरेखा एवं प्रगति

1 1. Zeroth & First Laws of Thermodyn...
2 2. Four Core Thermodynamic Processe...
3 3. The Second Law of Thermodynamics

सम्पूर्ण सैद्धांतिक एवं वैचारिक अध्ययन

1. Zeroth & First Laws of Thermodynamics

  • Zeroth Law: If two systems $A$ and $B$ are separately in thermal equilibrium with system $C$, they are in thermal equilibrium with each other (defines Temperature!).
  • First Law: Heat supplied to a system equals internal energy increase plus work done: $$\mathbf{\Delta Q = \Delta U + \Delta W} \quad (\Delta W = P\Delta V)$$ Internal energy $U$ is a state function depending solely on temperature ($dU = n C_v dT$).

2. Four Core Thermodynamic Processes

  • Isothermal Process: Temperature constant ($T = \text{const}, \Delta U = 0$). Work done: $\mathbf{W = nRT \ln\left(\frac{V_2}{V_1}\right)}$.
  • Adiabatic Process: Zero heat transfer ($Q = 0, \mathbf{PV^\gamma = \text{constant}}$ where $\gamma = C_p/C_v$). Work done: $\mathbf{W = \frac{nR(T_1 - T_2)}{\gamma - 1}}$. (Rapid bursting of a tire causes adiabatic cooling!).
  • Isobaric: Pressure constant: $W = P(V_2 - V_1)$.
  • Isochoric: Volume constant: $W = 0 \implies \Delta Q = \Delta U$.

3. The Second Law of Thermodynamics

Natural processes are irreversible:
• Kelvin-Planck Statement: It is impossible to construct a heat engine that absorbs heat from a reservoir and converts 100% of it into mechanical work without rejecting heat. (No 100% efficient engine!).
• Clausius Statement: It is impossible to transfer heat from a cooler body to a warmer body without external work input (refrigerators require electricity!).

Thermodynamics - Key Conceptual & Analytical Model

Thermodynamics - Conceptual Architecture Physical Laws & Formulations Governing equations & conservation principles Calculus & Vector Foundations Differential models, limits & derivations Real-World Engineering & Competitive Edge CBSE board problem patterns, JEE/NEET diagnostic applications & lab experiments

अध्याय का सार संक्षेप एवं 10 मुख्य निष्कर्ष

मुख्य बिंदु 1
Zeroth Law: Establishes temperature as the universal metric of thermal equilibrium.
मुख्य बिंदु 2
First Law: Conservation of thermodynamic energy ($\Delta Q = \Delta U + P\Delta V$).
मुख्य बिंदु 3
Isothermal Work: $W = nRT\ln(V_2/V_1)$ occurring with infinite heat reservoir exchange.
मुख्य बिंदु 4
Adiabatic Expansion: $PV^\gamma = \text{const}$ with zero heat exchange causing internal temperature drops.
मुख्य बिंदु 5
Second Law: Dictates thermodynamic irreversibility and forbids perpetual motion machines.

स्व-मूल्यांकन अभ्यास (Check Your Understanding)

मूल वैचारिक स्पष्टता की जांच के लिए नैदानिक प्रश्न। पहले स्वयं हल करें, फिर उत्तर देखें।

1
State the First Law of Thermodynamics and write its mathematical equation.
उत्तर एवं व्याख्या देखें
उत्तर: The energy supplied to a thermodynamic system in the form of heat ($\Delta Q$) is partially utilized to increase its internal energy ($\Delta U$) and partially utilized to perform external work ($\Delta W$): $\Delta Q = \Delta U + \Delta W = \Delta U + P\Delta V$.
ΔQ = ΔU + ΔW (Energy conservation).
2
Why does the temperature of air drop when it rushes out of a punctured bicycle tyre?
उत्तर एवं व्याख्या देखें
उत्तर: When a tyre punctures, compressed air escapes rapidly into the atmosphere without getting time to absorb heat from surroundings ($Q = 0$, an adiabatic expansion). The gas does work against atmospheric pressure at the expense of its own internal energy ($\Delta U = -W$), causing temperature to drop.
Adiabatic expansion uses internal energy, lowering temperature.
3
Derive the expression for work done during an isothermal expansion of an ideal gas.
उत्तर एवं व्याख्या देखें
उत्तर: In isothermal expansion, $T = \text{constant}$ and $P = \frac{nRT}{V}$. Work done $W = \int_{V_1}^{V_2} P\, dV = \int_{V_1}^{V_2} \frac{nRT}{V}\, dV = nRT [\ln V]_{V_1}^{V_2} = nRT \ln\left(\frac{V_2}{V_1}\right) = 2.303 nRT \log_{10}\left(\frac{V_2}{V_1}\right)$.
W = nRT ln(V2/V1).
4
State the Kelvin-Planck and Clausius statements of the Second Law of Thermodynamics.
उत्तर एवं व्याख्या देखें
उत्तर: Kelvin-Planck: It is impossible to construct a heat engine operating in a cycle that absorbs heat from a single reservoir and converts it entirely into work. Clausius: It is impossible to construct a cyclic device that transfers heat from a colder body to a hotter body without external work input.
No 100% work engine; heat cannot spontaneously flow cold to hot.
5
In an isochoric process, what is the work done by the system? What happens to the heat supplied?
उत्तर एवं व्याख्या देखें
उत्तर: In an isochoric process, volume is constant ($\Delta V = 0$), so work done $W = P\Delta V = 0$. By the first law, $\Delta Q = \Delta U + 0 = \Delta U$; all heat supplied goes entirely into increasing internal energy and temperature.
W = 0; all heat increases internal energy.
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