## First Law of Thermodynamics:-

This law states that the heat and mechanical work are mutually convertible. According to this law, a definite amount of mechanical work is needed to produce a definite amount of heat and vice versa.

This law also states that the energy can neither be created nor be destroyed, through it can be transformed from one form to another. According to this law , the energy due to heat supplied(dQ) must be balanced by the external work done(dW) plus the gain in internal Energy(dE) due to rise in temperature.

dQ=dW+dE

The **First law of thermodynamics** states that energy is neither created nor destroyed. Thus the total energy of the universe is a constant. However, energy can certainly be transferred from one form to another form.

The 1^{st} law of thermodynamics can be mathematically stated as follows:

**dQ = §dW**

During a thermodynamic cycle, a cyclic process the systems undergoes, the cyclic integral of heat added is equal to integral of work done. The first law equation can also be written in the form,

**(dQ – dW) = 0**

Equation **dU = dQ – dW** is a corollary to the first law of thermodynamics. It shows that there exists a property *internal energy* (U) of the system, such that a change in its value is equal to the difference in heat entering and work leaving the system.

The sign convention for heat and work in the first law of thermodynamics is represented in the picture below.

Another property named ** enthalpy** (H) can also be defined now as a combination of properties U, p and V.

H = U + pV

For a reversible process, since dW = pdV, the first law of thermodynamics can also be written as

dQ = dU + pdV.