- Introduction
- Concept of Heat
- P-V Indicator Digram
- |
- Work in volume changes
- |
- Internal Energy and first law of thermodynamics
- |
- Specific heat capacity of an ideal gas
- |
- Thermodynamic Processes
- |
- Quasi static Processes
- |
- Isothermal Process
- |
- Adiabatic Process
- |
- Isochoric process
- |
- Isobaric process
- |
- Work done in Isothermal process
- |
- Work done in an Adiabatic process
- |
- Heat Engine and efficiency
- |
- Principle of a Refrigerator
- |
- Second law of thermodynamics
- |
- Reversibility and irreversibility
- |
- Carnot's Heat Engine
- |
- Carnot Theorem
- |
- Solved Examples

- Only two thermodynamic variables are sufficient to describe a system because third vaiable can be calculated from equation of state of the system.

- P-V Indicator Digram is just a graph between pressure and volume of a system undergoing an operation.

- When a system undergoes an expansion from state A (P
_{1}V_{1}) to a state B (P_{2}V_{2}) its indicator digram is shown as follows.

- In case of compression system at state A(P
_{1}V_{1}) goes to a state B(P_{2}V_{2}) its indicator digram is as follows.

- Intermediate states of system are represented by points on the curve.

- The pressure volume curve for a fixed temperature is called isotherm.

- Consider a cylinder filled with gas and equiped with a movable piston as shown in fig below

fig - Force exerted by a system during small expansion.

Suppose,

A - Cross Sectional area of cylinder

P - Pressure exerted by piston at the piston face.

PA - Force exerted by the system.

- If piston moves out by a distance dx then work done by this force is dW given by

dW = PAdx

= PdV (1)

since V = Adx and dV is change in volume of the system.

- In a finite volume change from V
_{1}to V_{2}

W=∫PdV (2)

where limits of integration goes from V_{1}to V_{2}

Graphically this relationship is shown below

- Thus eqn (2) can be interpreted graphically as area under the curve between limits V
_{1}and V_{2}.

- If pressure remains constant while the volume changes, then work is

W = P(V_{2}-V_{1}) (3)

- Work done not only depends on initial and final states but also on the intermediate states i.e., on the path.

Class 11 Maths Class 11 Physics Class 11 Chemistry

- ncert solutions for class 6 Science
- ncert solutions for class 6 Maths
- ncert solutions for class 7 Science
- ncert solutions for class 7 Maths
- ncert solutions for class 8 Science
- ncert solutions for class 8 Maths
- ncert solutions for class 9 Science
- ncert solutions for class 9 Maths
- ncert solutions for class 10 Science
- ncert solutions for class 10 Maths