Question

show that internal energy is a state function.

Answer 1

Internal energy does not depend on the path of the process it has a particular value at each every different states of the system or state points. It is also called as point function.

Let us take an example, take one glad of water; it has some specific internal energy within it.

Now the water poured into a pot and left to cool down in a refrigerator till it takes the form of ice.

Now ice has a different and definite internal energy.

The internal energy in this process is independent of the path followed to change the state of the system. What may be the path every substance has an define amount of internal energy at each and every state of the system(ie; solid,liquid,vapour,plasma) and it not dependent on the path or process followed to reach that state.
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