Question

Explain the mathematical form of First law of thermodynamics.

Answer 1

This is a simple equation for anyone who studies physics.

This states that energy is neither created nor destroyed.

So, therefore, when a work is done, the system gets heated.

We use the ΔU=q+w to represent the states.

According to this theory, the q and w values are positive. this is the mathematical form of the first law of thermodynamics.

Answer 2

$\textbf{\large{Answer -}}$

First law of thermodynamics is also known as $\textbf{Law of conservation of energy.}$

According to this law,

"Energy can neither be created nor be destroyed although it maybe converted from one form to another."

OR

"The energy of the universe remains constant although it may undergo transformation from one form to another."

Mathematical Form -

If $q$ is the amount of heat supplied to a system then its internal energy would be,

$u_{1} + q$

If $w$ is the work done on the system then it's internal energy would be,

$u_{1} + q + w$

If $u_{2}$ is the internal energy of the system in final state, then

$u_{2} = u_{1} + q + w$

$u_{2} - u_{1} = q + w$

$\delta{u = q + w}$